×

Synchronization of multi-link and multi-delayed inertial neural networks with Markov jump via aperiodically intermittent adaptive control. (English) Zbl 1540.93113

MSC:

93E15 Stochastic stability in control theory
93C40 Adaptive control/observation systems
92B20 Neural networks for/in biological studies, artificial life and related topics
Full Text: DOI

References:

[1] An, X.; Zhang, L.; Li, Y., Synchronization analysis of complex networks with multi-weights and its applications in public traffic networks, Physica A, 412, 149-156 (2014) · Zbl 1395.90068
[2] Angelaki, D.; Correia, M., Models of membrane resonance in pigeon semicircular canal type II hair cells, Biol. Cybernet., 65, 1-10 (1991)
[3] Babcock, K.; Westervelt, R., Dynamics of simple electronic neural networks, Physica D, 28, 305-316 (1987)
[4] Chen, H.; Shi, P.; Lim, C., Cluster synchronization for neutral stochastic delay networks via intermittent adaptive control, IEEE Trans. Neural Netw. Learn. Syst., 30, 3246-3259 (2019)
[5] Coleman, B. D.; Renninger, G. H., Periodic solutions of certain nonlinear integral equations with a time la, SIAM J. Appl. Math., 31, 111-120 (1976) · Zbl 0328.45008
[6] Feng, Y.; Xiong, X.; Tang, R.; Yang, X., Exponential synchronization of inertial neural networks with mixed delays via quantized pinning control, Neurocomputing, 310, 165-171 (2018)
[7] Gong, S.; Yang, S.; Guo, Z.; Huang, T., Global exponential synchronization of inertial memristive neural networks with time-varying delay via nonlinear controller, Neural Netw., 102, 138-148 (2018) · Zbl 1441.93242
[8] Guo, Z.; Gong, S.; Huang, T., Finite-time synchronization of inertial memristive neural networks with time delay via delay-dependent control, Neurocomputing, 293, 100-107 (2018)
[9] Guo, B.; Wu, Y.; Xiao, Y.; Zhang, C., Graph-theoretic approach to synchronizing stochastic coupled systems with time-varying delays on networks via periodically intermittent control, Appl. Math. Comput., 331, 341-357 (2018) · Zbl 1427.93015
[10] Guo, B.; Xiao, Y.; Zhang, C., Synchronization analysis of stochastic coupled systems with time delay on networks by periodically intermittent control and graph-theoretic method, Nonlinear Anal. Hybrid Syst., 30, 118-133 (2018) · Zbl 1408.93009
[11] Hu, C.; Yu, J.; Jiang, H.; Teng, Z., Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control, Chaos, 20, Article 023108 pp. (2010) · Zbl 1311.92017
[12] Hu, C.; Yu, J.; Jiang, H.; Teng, Z., Exponential synchronization for reaction-diffusion networks with mixed delays in terms of p-norm via intermittent driving, Neural Netw., 31, 1-11 (2012) · Zbl 1245.93122
[13] Huang, D.; Jiang, M.; Jian, J., Finite-time synchronization of inertial memristive neural networks with time-varying delays via sampled-date control, Neurocomputing, 266, 527-539 (2017)
[14] Koch, C., Cable theory in neurons with active, linearized membrane, Biol. Cybernet., 50, 15-33 (1984)
[15] Krishnasamy, R.; George, R. K., Mean-square asymptotic stability of stochastic inertial neural networks with time-delay and Markovian jump parameters, Int. J. Dyn. Syst. Differ. Equ., 11, 527-541 (2021) · Zbl 1482.93674
[16] Lakshmanan, S.; Prakash, M.; Lim, C. P.; Rakkiyappan, R.; Balasubramaniam, P.; Nahavandi, S., Synchronization of an inertial neural network with time-varying delays and its application to secure communication, IEEE Trans. Neural Netw. Learn. Syst., 29, 195-207 (2018)
[17] Li, M. Y.; Shuai, Z., Global-stability problem for coupled systems of differential equations on networks, J. Differ. Equ., 248, 1-20 (2010) · Zbl 1190.34063
[18] liu, X.; Chen, T., Synchronization of complex networks via aperiodically intermittent pinning control, IEEE. Trans. Autom. Control, 60, 3316-3321 (2015) · Zbl 1360.93359
[19] Liu, X.; chen, T., Synchronization of linearly coupled networks with delays viaaperiodically intermittent pinning control, IEEE Trans. Neural Netw. Learn. Syst., 26, 2396-2407 (2015)
[20] Lu, Z.; Ge, Q.; Li, Y.; Hu, J., Finite-time synchronization of memristor-based recurrent neural networks with inertial items and mixed delays, IEEE Trans. Syst. Man Cybern. Syst., 1-11 (2019)
[21] Lu, L.; Li, C.; Li, G., Adaptive synchronization of uncertain time-delayed and multi-link network with arbitrary topology, Physica A, 503, 355-365 (2018) · Zbl 1514.93014
[22] Mao, X., Stability of stochastic differential equations with Markovian switching, Stochastic Process. Appl., 79, 45-67 (1999) · Zbl 0962.60043
[23] Song, X.; Man, J.; Ahn, C. K.; Song, S., Finite-time dissipative synchronization for Markovian jump generalized inertial neural networks with reaction-diffusion terms, IEEE Trans. Syst. Man Cybern., 51, 3650-3661 (2021)
[24] Tang, Q.; Jian, J., Exponential synchronization of inertial neural networks with mixed time-varying delays via periodically intermittent control, Neurocomputing, 338, 181-190 (2019)
[25] Tu, Z.; Cao, J.; Hayat, T., Matrix measure based dissipativity analysis for inertial delayed uncertain neural networks, Neural Netw., 75, 47-55 (2016) · Zbl 1415.92025
[26] Wan, P.; Sun, D.; Chen, D.; Zhao, M.; Zheng, L., Exponential synchronization of inertial reaction-diffusion coupled neural networks with proportional delay via periodically intermittent control, Neurocomputing, 356, 195-205 (2019)
[27] Wang, J.; Ji, Z.; Zhang, H.; Wang, Z.; Meng, Q., Synchronization of generally uncertain Markovian inertial neural networks with random connection weight strengths and image encryption application, IEEE Trans. Neural Netw. Learn. Syst., 34, 5911-5925 (2021)
[28] Wang, P.; Jin, W.; Su, H., Synchronization of coupled stochastic complex-valued dynamical networks with time-varying delays via aperiodically intermittent adaptive control, Chaos, 28, Article 043114 pp. (2018) · Zbl 1387.93149
[29] Wheeler, D. W.; Schieve, W., Stability and chaos in an inertial two-neuron system, Physica D, 105, 267-284 (1997) · Zbl 1029.92500
[30] Wu, Y.; Zhu, J.; Li, W., Intermittent discrete observation control for synchronization of stochastic neural networks, IEEE Trans. Cybern., 50, 2414-2424 (2020)
[31] Xiao, Q.; Huang, T.; Zeng, Z., Global exponential stability and synchronization for discrete-time inertial neural networks with time delays: a timescale approach, IEEE Trans. Neural Netw. Learn. Syst., 30, 1854-1866 (2019)
[32] Xu, Y.; Gao, S.; Li, W., Exponential stability of fractional-order complex multi-links networks with aperiodically intermittent control, IEEE Trans. Neural Netw. Learn. Syst., Article 3016672 pp. (2020)
[33] Zhang, W.; Li, C.; Huang, T.; Tan, J., Exponential stability of inertial bam neural networks with time-varying delay via periodically intermittent control, Neural Comput. Appl., 26, 1781-1787 (2015)
[34] Zhang, W.; li, C.; Huang, T.; Xiao, M., Synchronization of neutral networks with stochastic perturbation via aperiodically intermittent control, Neural Netw., 71, 105-111 (2015) · Zbl 1396.93138
[35] Zhang, C.; Li, W.; Wang, K., Graph-theoretic method on exponential synchronization of stochastic coupled networks with Markovian switching, Nonlinear Anal. Hybrid Syst., 15, 37-51 (2015) · Zbl 1301.93152
[36] Zhang, C.; Shi, L., Exponential synchronization of stochastic complex networks with multi-weights: a graph-theoretic approach, J. Franklin Inst., 356, 4106-4123 (2019) · Zbl 1412.93094
[37] Zhang, R.; Zeng, D.; Park, J. H.; Liu, Y.; Zhong, S., Quantized sampled-data control for synchronization of inertial neural networks with heterogeneous time-varying delays, IEEE Trans. Neural Netw. Learn. Syst., 29, 6385-6395 (2018)
[38] Zhao, H.; Li, L.; Peng, H.; Xiao, J.; Yang, Y., Mean square modified function projective synchronization of uncertain complex network with multi-links and stochastic perturbations, Eur. Phys. J. B., 88, 1-8 (2015) · Zbl 1515.34056
[39] Zhao, H.; Liu, A.; Wang, Q., Predefined-time stability/synchronization of coupled memristive neural networks with multi-links and application in secure communication, Front. Neurorobot., 15, Article 783809 pp. (2021)
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.