Stochastic differential equations and their applications. Zbl 0892.60057
Mao, Xuerong |
|
1997
|
Stochastic differential equations and applications.
2nd ed. Zbl 1138.60005
Mao, Xuerong |
|
2007
|
Stochastic differential equations with Markovian switching. Zbl 1126.60002
Mao, Xuerong; Yuan, Chenggui |
|
2006
|
Environmental Brownian noise suppresses explosions in population dynamics. Zbl 1058.60046
Mao, Xuerong; Marion, Glenn; Renshaw, Eric |
|
2002
|
A stochastic differential equation SIS epidemic model. Zbl 1263.34068
Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J. |
|
2011
|
Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050
Liao, X. X.; Mao, X. |
|
1997
|
Stability of stochastic differential equations with Markovian switching. Zbl 0962.60043
Mao, Xuerong |
|
1999
|
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. |
|
2002
|
Exponential stability of stochastic differential equations. Zbl 0806.60044
Mao, Xuerong |
|
1994
|
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048
Li, Xiaoyue; Mao, Xuerong |
|
2009
|
Delay-dependent \(H_{\infty}\) control and filtering for uncertain Markovian jump systems with time-varying delays. Zbl 1374.93134
Xu, Shengyuan; Lam, James; Mao, Xuerong |
|
2007
|
Exponential stability of stochastic delay interval systems with Markovian switching. Zbl 1364.93685
Mao, Xuerong |
|
2002
|
Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112
Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui |
|
2011
|
Stochastic population dynamics under regime switching. Zbl 1113.92052
Luo, Qi; Mao, Xuerong |
|
2007
|
A stochastic model for internal HIV dynamics. Zbl 1132.92015
Dalal, Nirav; Greenhalgh, David; Mao, Xuerong |
|
2008
|
Almost sure exponential stability of neutral stochastic differential difference equations. Zbl 0884.60052
Liao, X. X.; Mao, X. |
|
1997
|
Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching. Zbl 1205.92058
Li, Xiaoyue; Gray, Alison; Jiang, Daqing; Mao, Xuerong |
|
2011
|
Asymptotic behaviour of the stochastic Lotka-Volterra model. Zbl 1048.92027
Mao, Xuerong; Sabanis, Sotirios; Renshaw, Eric |
|
2003
|
A note on the LaSalle-type theorems for stochastic differential delay equations. Zbl 0996.60064
Mao, Xuerong |
|
2002
|
Robustness of exponential stability of stochastic differential delay equations. Zbl 0851.93074
Mao, X. |
|
1996
|
Stochastic delay Lotka–Volterra model. Zbl 1043.92034
Bahar, Arifah; Mao, Xuerong |
|
2004
|
The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016
Mao, Xuerong |
|
2015
|
Stabilization and destabilization of hybrid systems of stochastic differential equations. Zbl 1111.93082
Mao, Xuerong; Yin, G. George; Yuan, Chenggui |
|
2007
|
Robust stability and controllability of stochastic differential delay equations with Markovian switching. Zbl 1040.93069
Yuan, Chenggui; Mao, Xuerong |
|
2004
|
A stochastic model of AIDS and condom use. Zbl 1101.92037
Dalal, Nirav; Greenhalgh, David; Mao, Xuerong |
|
2007
|
Stability of stochastic delay neural networks. Zbl 0991.93120
Blythe, Steve; Mao, Xuerong; Liao, Xiaoxin |
|
2001
|
Adapted solutions of backward stochastic differential equations with non- Lipschitz coefficients. Zbl 0835.60049
Mao, Xuerong |
|
1995
|
Population dynamical behavior of Lotka-Volterra system under regime switching. Zbl 1173.60020
Li, Xiaoyue; Jiang, Daqing; Mao, Xuerong |
|
2009
|
Stability of stochastic differential equations with respect to semimartingales. Zbl 0724.60059
Mao, Xuerong |
|
1991
|
Stationary distribution of stochastic population systems. Zbl 1387.60107
Mao, Xuerong |
|
2011
|
Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083
Mao, Xuerong |
|
2013
|
Razumikhin-type theorems on exponential stability of stochastic functional differential equations. Zbl 0889.60062
Mao, X. |
|
1996
|
Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations. Zbl 1144.65005
Higham, Desmond J.; Mao, Xuerong; Yuan, Chenggui |
|
2007
|
Numerical solutions of stochastic differential delay equations under local Lipschitz condition. Zbl 1015.65002
Mao, Xuerong; Sabanis, Sotirios |
|
2003
|
Stochastic versions of the LaSalle theorem. Zbl 0921.34057
Mao, Xuerong |
|
1999
|
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 0876.60047
Mao, Xuerong |
|
1997
|
Stochastic differential delay equations with Markovian switching. Zbl 0956.60060
Mao, Xuerong; Matasov, Alexander; Piunovskiy, Aleksey B. |
|
2000
|
Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65012
Mao, Xuerong; Szpruch, Lukasz |
|
2013
|
Stabilization of hybrid systems by feedback control based on discrete-time state observations. Zbl 1337.60133
You, Surong; Liu, Wei; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei |
|
2015
|
The SIS epidemic model with Markovian switching. Zbl 1271.92030
Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng |
|
2012
|
Asymptotic stability in distribution of stochastic differential equations with Markovian switching. Zbl 1075.60541
Yuan, Chenggui; Mao, Xuerong |
|
2003
|
Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching. Zbl 1143.60041
Mao, Xuerong; Shen, Yi; Yuan, Chenggui |
|
2008
|
Stochastic stabilization and destabilization. Zbl 0820.93071
Mao, Xuerong |
|
1994
|
Almost sure exponential stability of numerical solutions for stochastic delay differential equations. Zbl 1193.65009
Wu, Fuke; Mao, Xuerong; Szpruch, Lukas |
|
2010
|
Stochastic differential delay equations of population dynamics. Zbl 1062.92055
Mao, Xuerong; Yuan, Chenggui; Zou, Jiezhong |
|
2005
|
Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036
Mao, Xuerong |
|
2016
|
Exponential mean-square stability of numerical solutions to stochastic differential equations. Zbl 1055.65009
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. |
|
2003
|
Stabilisation of hybrid stochastic differential equations by delay feedback control. Zbl 1149.93027
Mao, Xuerong; Lam, James; Huang, Lirong |
|
2008
|
Stochastic population dynamics under regime switching. II. Zbl 1162.92032
Luo, Qi; Mao, Xuerong |
|
2009
|
Stochastic delay population dynamics. Zbl 1043.92028
Bahar, Arifah; Mao, Xuerong |
|
2004
|
Neutral stochastic differential delay equations with Markovian switching. Zbl 1025.60028
Kolmanovskii, V.; Koroleva, N.; Maizenberg, T.; Mao, X.; Matasov, A. |
|
2003
|
Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra |
|
2008
|
Exponential stability and instability of stochastic neural networks. Zbl 0848.60058
Liao, X. X.; Mao, X. |
|
1996
|
Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054
Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra |
|
1998
|
Khasminskii-type theorems for stochastic differential delay equations. Zbl 1082.60055
Mao, Xuerong; Rassias, Matina John |
|
2005
|
Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042
Yang, Qingshan; Mao, Xuerong |
|
2013
|
New criteria on exponential stability of neutral stochastic differential delay equations. Zbl 1100.93048
Luo, Qi; Mao, Xuerong; Shen, Yi |
|
2006
|
Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407
Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong |
|
2018
|
Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients. Zbl 1304.65009
Mao, Xuerong; Szpruch, Lukasz |
|
2013
|
Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127
Hu, Liangjian; Mao, Xuerong; Shen, Yi |
|
2013
|
Exponential stability in mean square of neutral stochastic differential functional equations. Zbl 0877.93133
Mao, Xuerong |
|
1995
|
Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Zbl 1297.93176
Mao, Xuerong; Liu, Wei; Hu, Liangjian; Luo, Qi; Lu, Jianqiu |
|
2014
|
Stochastic stabilization of hybrid differential equations. Zbl 1257.93103
Deng, Feiqi; Luo, Qi; Mao, Xuerong |
|
2012
|
Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011
Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu |
|
2011
|
Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693
Hu, Liangjian; Mao, Xuerong; Zhang, Liguo |
|
2013
|
On input-to-state stability of stochastic retarded systems with Markovian switching. Zbl 1367.93597
Huang, Lirong; Mao, Xuerong |
|
2009
|
Numerical solutions of neutral stochastic functional differential equations. Zbl 1173.65004
Wu, Fuke; Mao, Xuerong |
|
2008
|
Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control. Zbl 1430.93166
Li, Xiaoyue; Mao, Xuerong |
|
2020
|
Convergence of the Euler–Maruyama method for stochastic differential equations with Markovian switching. Zbl 1044.65007
Yuan, Chenggui; Mao, Xuerong |
|
2004
|
Numerical solutions of stochastic functional differential equations. Zbl 1055.65011
Mao, Xuerong |
|
2003
|
Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations. Zbl 1114.65005
Mao, Xuerong |
|
2007
|
Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517
Mao, Xuerong |
|
2016
|
Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan |
|
2017
|
Delay-dependent exponential stability of neutral stochastic delay systems. Zbl 1367.93511
Huang, Lirong; Mao, Xuerong |
|
2009
|
The improved LaSalle-type theorems for stochastic functional differential equations. Zbl 1090.60059
Shen, Yi; Luo, Qi; Mao, Xuerong |
|
2006
|
Stochastic stabilisation of functional differential equations. Zbl 1129.34330
Appleby, John A. D.; Mao, Xuerong |
|
2005
|
Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in \(p\)th moment and stability. Zbl 1461.65007
Li, Xiaoyue; Mao, Xuerong; Yin, George |
|
2019
|
LaSalle-type theorems for stochastic differential delay equations. Zbl 0958.60057
Mao, Xuerong |
|
1999
|
Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions. Zbl 1215.65015
Mao, Xuerong |
|
2011
|
Exponential stability of stochastic delay interval systems. Zbl 0949.60068
Liao, X. X.; Mao, X. |
|
2000
|
Almost sure exponential stabilisation of stochastic systems by state-feedback control. Zbl 1283.93303
Hu, Liangjian; Mao, Xuerong |
|
2008
|
Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068
Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz |
|
2013
|
Stability in distribution of stochastic differential delay equations with Markovian switching. Zbl 1157.60330
Yuan, Chenggui; Zou, Jiezhong; Mao, Xuerong |
|
2003
|
Noise suppresses or expresses exponential growth. Zbl 1157.93515
Deng, Feiqi; Luo, Qi; Mao, Xuerong; Pang, Sulin |
|
2008
|
Stability of singular stochastic systems with Markovian switching. Zbl 1368.93767
Huang, Lirong; Mao, Xuerong |
|
2011
|
Almost sure exponential stability of stochastic differential delay equations. Zbl 1343.60072
Guo, Qian; Mao, Xuerong; Yue, Rongxian |
|
2016
|
Stochastic functional differential equations with Markovian switching. Zbl 1034.60063
Mao, X. |
|
1999
|
Asymptotic properties of neutral stochastic differential delay equations. Zbl 0964.60066
Mao, Xuerong |
|
2000
|
Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018
Liu, Wei; Mao, Xuerong |
|
2013
|
Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756
Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong |
|
2014
|
Delay population dynamics and environmental noise. Zbl 1093.60033
Mao, Xuerong |
|
2005
|
Razumikhin method and exponential stability of hybrid stochastic delay interval systems. Zbl 1127.60072
Mao, Xuerong; Lam, James; Xu, Shengyuan; Gao, Huijun |
|
2006
|
Asymptotic properties of stochastic population dynamics. Zbl 1171.34038
Pang, Sulin; Deng, Feiqi; Mao, Xuerong |
|
2008
|
Stability of highly nonlinear neutral stochastic differential delay equations. Zbl 1390.93843
Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Liang, Yong |
|
2018
|
A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching. Zbl 1257.93106
Li, Xiaoyue; Mao, Xuerong |
|
2012
|
Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1141.65006
Pang, Sulin; Deng, Feiqi; Mao, Xuerong |
|
2008
|
The partially truncated Euler-Maruyama method and its stability and boundedness. Zbl 1358.65008
Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian |
|
2017
|
SMC design for robust \(H^{\infty}\) control of uncertain stochastic delay systems. Zbl 1205.93041
Huang, Lirong; Mao, Xuerong |
|
2010
|
Stabilization of highly nonlinear hybrid systems by feedback control based on discrete-time state observations. Zbl 1533.93595
Fei, Chen; Fei, Weiyin; Mao, Xuerong; Xia, Dengfeng; Yan, Litan |
|
2020
|
Exponential stability of non-linear stochastic evolution equations. Zbl 0933.60072
Liu, Kai; Mao, Xuerong |
|
1998
|
An advanced numerical scheme for multi-dimensional stochastic Kolmogorov equations with superlinear coefficients. Zbl 1523.60097
Cai, Yongmei; Mao, Xuerong; Wei, Fengying |
|
2024
|
Generalized invariance principles for stochastic dynamical systems and their applications. Zbl 07884161
Zhou, Shijie; Lin, Wei; Mao, Xuerong; Wu, Jianhong |
|
2024
|
The truncated EM method for jump-diffusion SDDEs with super-linearly growing diffusion and jump coefficients. Zbl 07803027
Deng, Shounian; Fei, Chen; Fei, Weiyin; Mao, Xuerong |
|
2024
|
Invariance principles for \(G\)-Brownian-motion-driven stochastic differential equations and their applications to \(G\)-stochastic control. Zbl 07865495
Peng, Xiaoxiao; Zhou, Shijie; Lin, Wei; Mao, Xuerong |
|
2024
|
Advances in nonlinear hybrid stochastic differential delay equations: existence, boundedness and stability. Zbl 1505.93111
Hu, Junhao; Mao, Wei; Mao, Xuerong |
|
2023
|
Strong convergence of Euler-Maruyama schemes for McKean-Vlasov stochastic differential equations under local Lipschitz conditions of state variables. Zbl 1527.65005
Li, Yun; Mao, Xuerong; Song, Qingshuo; Wu, Fuke; Yin, George |
|
2023
|
Stochastic stabilization of hybrid neural networks by periodically intermittent control based on discrete-time state observations. Zbl 1511.93134
Mao, Wei; You, Surong; Jiang, Yanan; Mao, Xuerong |
|
2023
|
A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with \(G\)-Brownian motion. Zbl 1499.60186
Fei, Chen; Fei, Weiyin; Mao, Xuerong |
|
2023
|
The backward Euler-Maruyama method for invariant measures of stochastic differential equations with super-linear coefficients. Zbl 07630327
Liu, Wei; Mao, Xuerong; Wu, Yue |
|
2023
|
A stabilization analysis for highly nonlinear neutral stochastic delay hybrid systems with superlinearly growing jump coefficients by variable-delay feedback control. Zbl 1525.93320
Li, Wenrui; Fei, Chen; Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong |
|
2023
|
Asymptotic stability in distribution of highly nonlinear stochastic differential equations with \(G\)-Brownian motion. Zbl 1515.60186
Fei, Chen; Fei, Weiyin; Deng, Shounian; Mao, Xuerong |
|
2023
|
Positivity preserving truncated scheme for the stochastic Lotka-Volterra model with small moment convergence. Zbl 1518.65011
Cai, Yongmei; Guo, Qian; Mao, Xuerong |
|
2023
|
Discrete-time feedback control for highly nonlinear hybrid stochastic systems with non-differentiable delays. Zbl 1527.93461
Li, Yuyuan; Dong, Ran; Mao, Xuerong |
|
2023
|
Stabilisation with general decay rate by delay feedback control for nonlinear neutral stochastic functional differential equations with infinite delay. Zbl 1519.93174
Shi, Banban; Mao, Xuerong; Wu, Fuke |
|
2023
|
On the existence and asymptotic stability of hybrid stochastic systems with neutral term and non-differentiable time delay. Zbl 1520.93420
Mao, Wei; Chen, Bo; Wu, Fuke; Mao, Xuerong |
|
2023
|
Advances in discrete-state-feedback stabilization of highly nonlinear hybrid systems by Razumikhin technique. Zbl 07794454
Xu, Henglei; Mao, Xuerong |
|
2023
|
Stabilization in distribution of hybrid systems by intermittent noise. Zbl 07746640
Mao, Wei; Hu, Junhao; Mao, Xuerong |
|
2023
|
Stabilization in distribution of hybrid stochastic systems by intermittent feedback controls. Zbl 1520.93594
Jiang, Yanan; Hu, Liangjian; Mao, Wei; Lu, Jianqiu; Mao, Xuerong |
|
2023
|
Hybrid stochastic functional differential equations with infinite delay: approximations and numerics. Zbl 1540.60117
Li, Guozhen; Li, Xiaoyue; Mao, Xuerong; Song, Guoting |
|
2023
|
Delay-dependent asymptotic stability of highly nonlinear stochastic differential delay equations driven by \(G\)-Brownian motion. Zbl 1491.93100
Fei, Chen; Fei, Weiyin; Mao, Xuerong; Yan, Litan |
|
2022
|
Stabilisation in distribution of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Zbl 1485.93611
Li, Xiaoyue; Liu, Wei; Luo, Qi; Mao, Xuerong |
|
2022
|
Advances in stabilization of highly nonlinear hybrid delay systems. Zbl 1480.93433
Dong, Hailing; Mao, Xuerong |
|
2022
|
Stabilization in distribution by delay feedback control for hybrid stochastic differential equations. Zbl 1537.93569
You, Surong; Hu, Liangjian; Lu, Jianqiu; Mao, Xuerong |
|
2022
|
Discrete feedback control for highly nonlinear neutral stochastic delay differential equations with Markovian switching. Zbl 1533.93600
Mei, Chunhui; Fei, Chen; Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong |
|
2022
|
Positivity and boundedness preserving numerical scheme for the stochastic epidemic model with square-root diffusion term. Zbl 1512.60034
Cai, Yongmei; Hu, Junhao; Mao, Xuerong |
|
2022
|
Stabilisation of hybrid system with different structures by feedback control based on discrete-time state observations. Zbl 1497.93179
Shi, Banban; Mao, Xuerong; Wu, Fuke |
|
2022
|
Stabilization by intermittent control for hybrid stochastic differential delay equations. Zbl 1485.93613
Mao, Wei; Jiang, Yanan; Hu, Liangjian; Mao, Xuerong |
|
2022
|
Stabilization of highly nonlinear hybrid stochastic differential delay equations with Lévy noise by delay feedback control. Zbl 1511.60115
Dong, Hailing; Tang, Juan; Mao, Xuerong |
|
2022
|
Stabilization of nonlinear hybrid stochastic delay systems by feedback control based on discrete-time state and mode observations. Zbl 1485.93612
Lu, Jianqiu; Li, Yuyuan; Mao, Xuerong; Pan, Jiafeng |
|
2022
|
Delay-dependent stability of highly nonlinear neutral stochastic functional differential equations. Zbl 1529.93091
Shen, Mingxuan; Fei, Chen; Fei, Weiyin; Mao, Xuerong; Mei, Chunhui |
|
2022
|
Stationary distribution and density function of a stochastic SVIR epidemic model. Zbl 1501.92170
Li, Dan; Wei, Fengying; Mao, Xuerong |
|
2022
|
Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model. Zbl 1465.65008
Mao, Xuerong; Wei, Fengying; Wiriyakraikul, Teerapot |
|
2021
|
On exponential stability of hybrid neutral stochastic differential delay equations with different structures. Zbl 1478.93563
Wu, Aiqing; You, Surong; Mao, Wei; Mao, Xuerong; Hu, Liangjian |
|
2021
|
Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay. Zbl 1483.93527
Mei, Chunhui; Fei, Chen; Fei, Weiyin; Mao, Xuerong |
|
2021
|
Stabilization and destabilization of hybrid systems by periodic stochastic controls. Zbl 1478.93716
Li, Xiaoyue; Liu, Wei; Mao, Xuerong; Zhao, Junsheng |
|
2021
|
A stochastic differential equation SIS epidemic model with regime switching. Zbl 1464.92241
Cai, Siyang; Cai, Yongmei; Mao, Xuerong |
|
2021
|
Truncated EM numerical method for generalised Ait-Sahalia-type interest rate model with delay. Zbl 1448.62146
Emmanuel, Coffie; Mao, Xuerong |
|
2021
|
Tamed EM schemes for neutral stochastic differential delay equations with superlinear diffusion coefficients. Zbl 1460.34101
Deng, Shounian; Fei, Chen; Fei, Weiyin; Mao, Xuerong |
|
2021
|
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations. Zbl 1481.65022
Li, Xiaoyue; Mao, Xuerong; Yang, Hongfu |
|
2021
|
Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control. Zbl 1430.93166
Li, Xiaoyue; Mao, Xuerong |
|
2020
|
Stabilization of highly nonlinear hybrid systems by feedback control based on discrete-time state observations. Zbl 1533.93595
Fei, Chen; Fei, Weiyin; Mao, Xuerong; Xia, Dengfeng; Yan, Litan |
|
2020
|
Stabilisation by delay feedback control for highly nonlinear neutral stochastic differential equations. Zbl 1441.93221
Shen, Mingxuan; Fei, Chen; Fei, Weiyin; Mao, Xuerong |
|
2020
|
Advances in stabilization of hybrid stochastic differential equations by delay feedback control. Zbl 1456.60148
Hu, Junhao; Liu, Wei; Deng, Feiqi; Mao, Xuerong |
|
2020
|
Exponential stability of highly nonlinear neutral pantograph stochastic differential equations. Zbl 07872593
Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Deng, Shounian |
|
2020
|
Truncated Euler-Maruyama method for classical and time-changed non-autonomous stochastic differential equations. Zbl 1456.65007
Liu, Wei; Mao, Xuerong; Tang, Jingwen; Wu, Yue |
|
2020
|
Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay. Zbl 1443.60064
Mao, Wei; Hu, Liangjian; Mao, Xuerong |
|
2020
|
The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. Zbl 1490.65010
Yang, Hao; Wu, Fuke; Kloeden, Peter E.; Mao, Xuerong |
|
2020
|
Stochastic delay foraging arena predator-prey system with Markov switching. Zbl 1437.37115
Cai, Yongmei; Cai, Siyang; Mao, Xuerong |
|
2020
|
Delay feedback control for switching diffusion systems based on discrete-time observations. Zbl 1511.93104
Li, Xiaoyue; Mao, Xuerong; Mukama, Denis S.; Yuan, Chenggui |
|
2020
|
Stabilisation of highly non-linear continuous-time hybrid stochastic differential delay equations by discrete-time feedback control. Zbl 07907059
Mei, Chunhui; Fei, Chen; Fei, Weiyin; Mao, Xuerong |
|
2020
|
The asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Lévy noise. Zbl 1429.93407
Mao, Wei; Hu, Liangjian; Mao, Xuerong |
|
2020
|
Analysis of a stochastic predator-prey system with foraging arena scheme. Zbl 1490.60145
Cai, Yongmei; Cai, Siyang; Mao, Xuerong |
|
2020
|
Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1462.60073
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng |
|
2020
|
Exponential stabilisation of continuous-time periodic stochastic systems by feedback control based on periodic discrete-time observations. Zbl 07907162
Dong, Ran; Mao, Xuerong; Birrell, Stewart A. |
|
2020
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Advances in the LaSalle-type theorems for stochastic functional differential equations with infinite delay. Zbl 1431.34087
Wang, Ya; Wu, Fuke; Mao, Xuerong; Zhu, Enwen |
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2020
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Asymptotic stabilization of continuous-time periodic stochastic systems by feedback control based on periodic discrete-time observations. Zbl 1467.93323
Dong, Ran; Mao, Xuerong |
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2020
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Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in \(p\)th moment and stability. Zbl 1461.65007
Li, Xiaoyue; Mao, Xuerong; Yin, George |
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2019
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A stochastic differential equation SIS epidemic model with two independent Brownian motions. Zbl 1415.92173
Cai, Siyang; Cai, Yongmei; Mao, Xuerong |
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2019
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The truncated EM method for stochastic differential equations with Poisson jumps. Zbl 1426.60070
Deng, Shounian; Fei, Weiyin; Liu, Wei; Mao, Xuerong |
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2019
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Stability of highly nonlinear hybrid stochastic integro-differential delay equations. Zbl 1409.45007
Fei, Chen; Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Yan, Litan |
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2019
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Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations. Zbl 1420.60073
Lu, Zhenyu; Hu, Junhao; Mao, Xuerong |
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2019
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Stability in distribution of stochastic functional differential equations. Zbl 1425.93299
Wang, Ya; Wu, Fuke; Mao, Xuerong |
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2019
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Stability equivalence between the stochastic differential delay equations driven by \(G\)-Brownian motion and the Euler-Maruyama method. Zbl 1425.34090
Deng, Shounian; Fei, Chen; Fei, Weiyin; Mao, Xuerong |
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2019
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Generalized criteria on delay-dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1410.93135
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan |
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2019
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Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function. Zbl 1464.34105
Liu, Lei; Mao, Xuerong; Cao, Jinde |
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2019
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Generalized Ait-Sahalia-type interest rate model with Poisson jumps and convergence of the numerical approximation. Zbl 07570049
Deng, Shounian; Fei, Chen; Fei, Weiyin; Mao, Xuerong |
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2019
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Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching. Zbl 1438.60077
Mao, Wei; Hu, Liangjian; Mao, Xuerong |
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2019
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The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients. Zbl 1420.60074
Mao, Wei; Hu, Liangjian; You, Surong; Mao, Xuerong |
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2019
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A stochastic differential equation SIS epidemic model with two correlated Brownian motions. Zbl 1430.37109
Cai, Siyang; Cai, Yongmei; Mao, Xuerong |
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2019
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Robust quantised control of hybrid stochastic systems based on discrete-time state and mode observations. Zbl 1421.93045
Song, Gongfei; Mao, Xuerong; Li, Tao |
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2019
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Convergence of the split-step \(\theta\)-method for stochastic age-dependent population equations with Markovian switching and variable delay. Zbl 1415.92147
Deng, Shounian; Fei, Weiyin; Liang, Yong; Mao, Xuerong |
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2019
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Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations. Zbl 1459.60122
Fei, Chen; Fei, Weiyin; Mao, Xuerong; Shen, Mingxuan; Yan, Litan |
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2019
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Asymptotic boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the Euler-Maruyama approximation. Zbl 1404.60086
Mao, Wei; Hu, Liangjian; Mao, Xuerong |
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2019
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Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407
Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong |
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2018
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Stability of highly nonlinear neutral stochastic differential delay equations. Zbl 1390.93843
Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Liang, Yong |
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2018
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The truncated Milstein method for stochastic differential equations with commutative noise. Zbl 1503.65014
Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian |
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2018
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Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1458.65008
Hu, Liangjian; Li, Xiaoyue; Mao, Xuerong |
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2018
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The truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1414.60043
Guo, Qian; Mao, Xuerong; Yue, Rongxian |
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2018
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Structured robust stability and boundedness of nonlinear hybrid delay systems. Zbl 1394.93343
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan |
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2018
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Almost sure exponential stability of hybrid stochastic functional differential equations. Zbl 1380.34121
Song, Minghui; Mao, Xuerong |
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2018
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Stochastic prey-predator system with foraging arena scheme. Zbl 1480.92166
Cai, Yongmei; Mao, Xuerong |
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2018
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Approximate solutions for a class of doubly perturbed stochastic differential equations. Zbl 1445.60042
Mao, Wei; Hu, Liangjian; Mao, Xuerong |
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2018
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A note on the partially truncated Euler-Maruyama method. Zbl 1397.65017
Guo, Qian; Liu, Wei; Mao, Xuerong |
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2018
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Robust discrete-state-feedback stabilization of hybrid stochastic systems with time-varying delay based on Razumikhin technique. Zbl 1388.93097
Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng |
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2018
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Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan |
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2017
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The partially truncated Euler-Maruyama method and its stability and boundedness. Zbl 1358.65008
Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian |
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2017
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Stabilization of hybrid systems by feedback control based on discrete-time state and mode observations. Zbl 1386.93238
Li, Yuyuan; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei |
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2017
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On \(p\)th moment stabilization of hybrid systems by discrete-time feedback control. Zbl 1373.93362
Dong, Ran; Mao, Xuerong |
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2017
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Almost sure stability of the Euler-Maruyama method with random variable stepsize for stochastic differential equations. Zbl 1371.65010
Liu, Wei; Mao, Xuerong |
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2017
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Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition. Zbl 1422.34238
Mao, Wei; Hu, Liangjian; Mao, Xuerong |
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2017
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Robust stabilization of hybrid uncertain stochastic systems by discrete-time feedback control. Zbl 1373.93366
Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng |
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2017
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Optimal transient growth on a vortex ring and its transition via cascade of ringlets. Zbl 1419.76268
Mao, X.; Hussain, F. |
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2017
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Successive approximation of solutions to doubly perturbed stochastic differential equations with jumps. Zbl 1413.60052
Mao, Wei; Hu, Liangjian; You, Surong; Mao, Xuerong |
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2017
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Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036
Mao, Xuerong |
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2016
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Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517
Mao, Xuerong |
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2016
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Almost sure exponential stability of stochastic differential delay equations. Zbl 1343.60072
Guo, Qian; Mao, Xuerong; Yue, Rongxian |
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2016
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Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching. Zbl 1400.92484
Greenhalgh, D.; Liang, Y.; Mao, X. |
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2016
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SDE SIS epidemic model with demographic stochasticity and varying population size. Zbl 1410.92120
Greenhalgh, D.; Liang, Y.; Mao, X. |
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2016
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Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching. Zbl 1349.93329
Feng, Lichao; Li, Shoumei; Mao, Xuerong |
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2016
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On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps. Zbl 1382.65021
Mao, Wei; You, Surong; Mao, Xuerong |
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2016
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| ...and 227 more Documents |
