×

Event-triggered synchronization for stochastic delayed neural networks: passivity and passification case. (English) Zbl 07889184

Summary: This article investigates the event-triggered synchronization problem of stochastic neural networks under passivity and passification cases. For saving communication resources, an event-triggered approach is engaged in the design of synchronization for the delayed stochastic neural networks. To decrease network trouble, an event-triggered scheme is suggested between the sampler and communication network. A nonfragile event-triggered controller is intended to guarantee the finite-time stability of the subsequent closed-loop system. By applying the Lyapunov-Krasovkii functional (LKF) and the novel integral inequalities, a stability criteria for an interval-time varying delay error system ensure the designed controller can fulfill the necessities of passivity and passification performance. The desired control gain and event-triggered parameters are then found based on the linear matrix inequalities (LMIs). Finally, illustrative examples are given to show the benefits and validity of the desired control law.
© 2022 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd.

MSC:

93-XX Systems theory; control
Full Text: DOI

References:

[1] K.Shi, H.Zhu, S.Zhong, Y.Zeng, and Y.Zhang, Less conservative stability criteria for neural networks with discrete and distributed delays using a delay‐partitioning approach, Neurocomputing140 (2014), 273-282.
[2] H.Huang and G.Feng, Delay‐dependent stability for uncertain stochastic neural networks with time‐varying delay, Phys. A: Stat. Mech. Appl.381 (2007), 93-103.
[3] G.Nagamani, S.Ramasamy, and P.Balasubramaniam, Robust dissipativity and passivity analysis for discrete‐time stochastic neural networks with time‐varying delay, Complexity21 (2016), no. 3, 47-58.
[4] M. S.Ali and P.Balasubramaniam, Exponential stability of uncertain stochastic fuzzy BAM neural networks with time‐varying delays, Neurocomputing72 (2009), no. 4‐6, 1347-1354.
[5] O. M.Kwon, S. M.Lee, and J. H.Park, Improved delay‐dependent exponential stability for uncertain stochastic neural networks with time‐varying delays, Phys. Lett. A374 (2010), no. 10, 1232-1241. · Zbl 1236.92006
[6] R.Vadivel, M. S.Ali, and F.Alzahrani, Robust
[( {H}_{\infty } \]\) synchronization of Markov jump stochastic uncertain neural networks with decentralized event‐triggered mechanism, Chinese J. Phys.60 (2019), 68-87. · Zbl 07823572
[7] Y.Xu, J.Yu, W.Li, and J.Feng, Global asymptotic stability of fractional‐order competitive neural networks with multiple time‐varying‐delay links, Appl. Math. Comput.389 (2021), 125498. · Zbl 1508.93328
[8] G.Zhang and Z.Zeng, Exponential stability for a class of memristive neural networks with mixed time‐varying delays, Appl. Math. Comput.321 (2018), 544-554. · Zbl 1426.93253
[9] D.Ouyang, J.Shao, H.Jiang, S.Wen, and S. K.Nguang, Finite‐time stability of coupled impulsive neural networks with time‐varying delays and saturating actuators, Neurocomputing453 (2020), 590-598.
[10] C.Long, G.Zhang, Z.Zeng, and J.Hu, Finite‐time lag synchronization of inertial neural networks with mixed infinite time‐varying delays and state‐dependent switching, Neurocomputing433 (2021), 50-58.
[11] P.Wan, D.Sun, and M.Zhao, Finite‐time and fixed‐time anti‐synchronization of Markovian neural networks with stochastic disturbances via switching control, Neural Netw.123 (2020), 1-11. · Zbl 1443.93122
[12] L.Wang, Z.Wang, G.Wei, and F. E.Alsaadi, Finite‐time state estimation for recurrent delayed neural networks with component‐based event‐triggering protocol, IEEE Trans. Neural Netw. Learn. Syst.29 (2017), no. 4, 1046-1057.
[13] Y.Zhou, X.Wan, C.Huang, and X.Yang, Finite‐time stochastic synchronization of dynamic networks with nonlinear coupling strength via quantized intermittent control, Appl. Math. Comput.376 (2020), 125157. · Zbl 1475.93115
[14] X.Lv and X.Li, Finite time stability and controller design for nonlinear impulsive sampled‐data systems with applications, ISA Trans.70 (2017), 30-36.
[15] L.Wang and Y.Shen, Finite‐time stabilizability and instabilizability of delayed memristive neural networks with nonlinear discontinuous controller, IEEE Trans. Neural Netw. Learn. Syst.26 (2015), no. 11, 2914-2924.
[16] Z.Zhang and J.Cao, Novel finite‐time synchronization criteria for inertial neural networks with time delays via integral inequality method, IEEE Trans. Neural Netw. Learn. Syst.30 (2018), no. 5, 1476-1485.
[17] J.Ren, X.Liu, H.Zhu, and S.Zhong, Passivity‐based non‐fragile control for Markovian jump delayed systems via stochastic sampling, Int. J. Control92 (2019), no. 4, 755-777. · Zbl 1416.93188
[18] R.Vadivel and Y. H.Joo, Finite‐time sampled‐data fuzzy control for a non‐linear system using passivity and passification approaches and its application, IET Control Theory Appl.14 (2020), no. 8, 1033-1045. · Zbl 07907176
[19] W.Qi, X.Gao, and J.Wang, Finite‐time passivity and passification for stochastic time‐delayed Markovian switching systems with partly known transition rates, Circ. Syst. Signal Process.35 (2016), no. 11, 3913-3934. · Zbl 1345.93144
[20] P.Muthukumar, P.Balasubramaniam, and K.Ratnavelu, A novel cascade encryption algorithm for digital images based on anti‐synchronized fractional order dynamical systems, Multimed. Tools Appl.76 (2017), no. 22, 23517-23538.
[21] A. M.Alimi, C.Aouiti, and E. A.Assali, Finite‐time and fixed‐time synchronization of a class of inertial neural networks with multi‐proportional delays and its application to secure communication, Neurocomputing332 (2019), 29-43.
[22] N.Gunasekaran, G.Zhai, and Q.Yu, Sampled‐data synchronization of delayed multi‐agent networks and its application to coupled circuit, Neurocomputing413 (2020), 499-511.
[23] K.Ding, Q.Zhu, and L.Liu, Extended dissipativity stabilization and synchronization of uncertain stochastic reaction‐diffusion neural networks via intermittent non‐fragile control, J. Franklin Inst.356 (2019), no. 18, 11690-11715. · Zbl 1427.93257
[24] L.Pan, Q.Song, J.Cao, and M.Ragulskis, Pinning impulsive synchronization of stochastic delayed neural networks via uniformly stable function, IEEE Trans. Neural Netw. Learn. Syst.33 (2021), 4491-4501.
[25] J.Wang, H.Zhang, Z.Wang, and H.Liang, Stochastic synchronization for Markovian coupled neural networks with partial information on transition probabilities, Neurocomputing149 (2015), 983-992.
[26] K.Shi, J.Wang, S.Zhong, Y.Tang, and J.Cheng, Non‐fragile memory filtering of T‐S fuzzy delayed neural networks based on switched fuzzy sampled‐data control, Fuzzy Sets Syst.394 (2020), 40-64. · Zbl 1452.93021
[27] Y.Feng, X.Yang, Q.Song, and J.Cao, Synchronization of memristive neural networks with mixed delays via quantized intermittent control, Appl. Math. Comput.339 (2018), 874-887. · Zbl 1428.93008
[28] T.Zhao and S.Dian, State feedback control for interval type‐2 fuzzy systems with time‐varying delay and unreliable communication links, IEEE Trans. Fuzzy Syst.26 (2017), no. 2, 951-966.
[29] C.Peng and F.Li, A survey on recent advances in event‐triggered communication and control, Inform. Sci.457 (2018), 113-125. · Zbl 1448.93210
[30] R.Vadivel, M. S.Ali, and F.Alzahrani, Robust
[( {H}_{\infty } \]\) synchronization of Markov jump stochastic uncertain neural networks with decentralized event‐triggered mechanism, Chinese J. Phys.60 (2019), 68-87. · Zbl 07823572
[31] D.Cao, Y.Jin, and W.Qi, Synchronization for stochastic semi‐Markov jump neural networks with dynamic event‐triggered scheme, J. Franklin Inst. (2021).
[32] M.Liu, H.Wu, and W.Zhao, Event‐triggered stochastic synchronization in finite time for delayed semi‐Markovian jump neural networks with discontinuous activations, Comput. Appl. Math.39 (2020), no. 2, 1-47. · Zbl 1449.93259
[33] D.Lu, D.Tong, Q.Chen, W.Zhou, J.Zhou, and S.Shen, Exponential synchronization of stochastic neural networks with time‐varying delays and Lévy noises via event‐triggered control, Neural Processing Lett.53 (2021), no. 3, 2175-2196.
[34] X.Xie, Q.Zhou, D.Yue, and H.Li, Relaxed control design of discrete‐time Takagi-Sugeno fuzzy systems: An event‐triggered real‐time scheduling approach, IEEE Trans. Syst. Man Cybern.: Syst.48 (2017), no. 12, 2251-2262.
[35] Y.Luo, Y.Yao, Z.Cheng, X.Xiao, and H.Liu, Event‐triggered control for coupled reaction-diffusion complex network systems with finite‐time synchronization, Phys. A: Stat. Mech. Appl.562 (2021), 125219. · Zbl 07542613
[36] W.Cui, W.Jin, and Z.Wang, Novel finite‐time synchronization criteria for coupled network systems with time‐varying delays via event‐triggered control, Adv. Differ. Equa.2020 (2020), no. 1, 1-13. · Zbl 1485.34139
[37] J.Hu, Y.Yang, H.Liu, D.Chen, and J.Du, Non‐fragile set‐membership estimation for sensor‐saturated memristive neural networks via weighted try‐once‐discard protocol, IET Control Theory Appl.14 (2020), no. 13, 1671-1680.
[38] Y.Liu, A.Arumugam, S.Rathinasamy, and F. E.Alsaadi, Event‐triggered non‐fragile finite‐time guaranteed cost control for uncertain switched nonlinear networked systems, Nonlin. Anal.: Hybrid Syst.36 (2020), 100884. · Zbl 1441.93178
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.