Event-triggered passivity of multi-weighted coupled delayed reaction-diffusion memristive neural networks with fixed and switching topologies. (English) Zbl 1451.93237
Summary: This paper solves the event-triggered passivity problem for multiple-weighted coupled delayed reaction-diffusion memristive neural networks (MWCDRDMNNs) with fixed and switching topologies. On the one side, by designing appropriate event-triggered controllers, several passivity criteria for MWCDRDMNNs with fixed topology are derived based on the Lyapunov functional method and some inequality techniques. Moreover, some adequate conditions for ensuring asymptotical stability of the event-triggered passive network are presented. On the other side, we take the switching topology in network model into consideration, and investigate the event-triggered passivity and passivity-based synchronization for MWCDRDMNNs with switching topology. Finally, two examples with numerical simulation results are provided to illustrate the effectiveness of the obtained theoretical results.
MSC:
| 93C65 | Discrete event control/observation systems |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93C20 | Control/observation systems governed by partial differential equations |
| 93C43 | Delay control/observation systems |
Keywords:
event-triggered control; synchronization; switching topology; multi-weights; reaction-diffusion terms; passivityReferences:
| [1] | Huberman, B. A.; Adamic, L. A., Internet: growth dynamics of the world wide web, Nature, 401, 16, 23-25 (1999) |
| [2] | Strogatz, S. H.; Stewart, I., Coupled oscillators and biological synchronization, Sci Am, 269, 6, 102-109 (1993) |
| [3] | Yang, X.; Cao, J.; Lu, J., Synchronization of randomly coupled neural networks with Markovian jumping and time-delay, IEEE Trans Circuit Syst I, 60, 2, 363-376 (2013) · Zbl 1468.93189 |
| [4] | Wang, J.; Zhang, H.; Wang, Z.; Shan, Q., Local synchronization criteria of Markovian nonlinearly coupled neural networks with uncertain and partially unknown transition rates, IEEE Trans Syst Man Cybern, 47, 8, 1953-1964 (2017) |
| [5] | Zhang, J.; Gao, Y. B., Synchronization of coupled neural networks with time-varying delay, Neurocomputing, 219, 5, 154-162 (2017) |
| [6] | Wu, W.; Chen, T. P., Global synchronization criteria of linearly coupled neural network systems with time-varying coupling, IEEE Trans Neural Netw, 19, 2, 319-332 (2008) |
| [7] | Hu, C.; Yu, J.; Chen, Z.; Jiang, H.; Huang, T., Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks, Neural Netw, 89, 74-83 (2017) · Zbl 1441.93279 |
| [8] | Wu, Z. G.; Shi, P.; Su, H.; Chu, J., Network-based robust passive control for fuzzy systems with randomly occurring uncertainties, IEEE Trans Fuzzy Syst, 21, 5, 966-971 (2013) |
| [9] | Li, N.; Cao, J., Passivity and robust synchronisation of switched interval coupled neural networks with time delay, Int J Syst Sci, 47, 12, 2827-2836 (2016) · Zbl 1347.93039 |
| [10] | Wang, J. L.; Yang, Z. C.; Wu, H. N., Passivity analysis of complex dynamical networks with multiple time-varying delays, J Eng Math, 74, 175-188 (2012) · Zbl 1254.70046 |
| [11] | Yao, J.; Guan, Z. H.; Hill, D. J., Passivity-based control and synchronization of general complex dynamical networks, Automatica, 45, 2107-2113 (2009) · Zbl 1175.93208 |
| [12] | Dong, T.; Xu, W.; Liao, X. F., Hopf bifurcation analysis of reaction-diffusion neural oscillator system with excitatory-to-inhibitory connection and time delay, Nonlinear Dyn, 89, 2329-2345 (2017) · Zbl 1377.34051 |
| [13] | Selivanov, A.; Fridman, E., Boundary observers for a reaction-diffusion system under time-delayed and sampled-data measurements, IEEE Trans Autom Control, 64, 8, 3385-3390 (2019) · Zbl 1482.93274 |
| [14] | Wang, J. L.; Wu, H. N., Synchronization and adaptive control of an array of linearly coupled reaction-diffusion neural networks with hybrid coupling, IEEE Trans Cybern, 44, 8, 1350-1361 (2014) |
| [15] | Wang, J. L.; Wu, H. N.; Guo, L., Novel adaptive strategies for synchronization of linearly coupled neural networks with reaction-diffusion terms, IEEE Trans Neural Netw Learn Syst, 25, 2, 429-440 (2014) |
| [16] | Wang, J. L.; Wu, H. N.; Huang, T.; Ren, S. Y., Pinning control strategies for synchronization of linearly coupled neural networks with reaction-diffusion terms, IEEE Trans Neural Netw Learn Syst, 27, 4, 749-761 (2016) |
| [17] | Xu, M.; Wang, J. L.; Wei, P. C., Synchronization for coupled reaction-diffusion neural networks with and without multiple time-varying delays via pinning control, Neurocomputing, 227, 82-91 (2017) |
| [18] | Lv, Y.; Hu, C.; Yu, J.; Jiang, H.; Huang, T., Edge-based fractional-order adaptive strategies for synchronization of fractional-order coupled networks with reaction-diffusion terms, IEEE Trans Cybern (2018) |
| [19] | Huang, Y. L.; Ren, S. Y.; Wu, J. G.; Xu, B. B., Passivity and synchronization of switched coupled reaction-diffusion neural networks with non-delayed and delayed couplings, Int J Comput Math, 96, 9, 1702-1722 (2019) · Zbl 1499.35593 |
| [20] | Ren, S. Y.; Wu, J. G.; Wei, P. C., Passivity and pinning passivity of coupled delayed reaction-diffusion neural networks with Dirichlet boundary conditions, Neural Proc Lett, 45, 3, 869-885 (2016) |
| [21] | Huang, Y. L.; Xu, B. B.; Ren, S. Y., Analysis and pinning control for passivity of coupled reaction-diffusion neural networks with nonlinear coupling, Neurocomputing, 272, 334-342 (2018) |
| [22] | Huang, Y. L.; Wang, S. X.; Ren, S. Y., Pinning exponential synchronization and passivity of coupled delayed reaction-diffusion neural networks with and without parametric uncertainties, Int J Control, 92, 5, 1167-1182 (2019) · Zbl 1416.93168 |
| [23] | Wang, J. L.; Wu, H. N.; Huang, T.; Ren, S. Y.; Wu, J., Passivity analysis of coupled reaction-diffusion neural networks with Dirichlet boundary conditions, IEEE Trans Syst Man Cybern, 47, 8, 2148-2159 (2017) |
| [24] | Wang, J. L.; Wu, H. N.; Huang, T.; Ren, S. Y.; Wu, J., Passivity of directed and undirected complex dynamical networks with adaptive coupling weights, IEEE Trans Neural Netw Learn Syst, 28, 8, 1827-1839 (2017) |
| [25] | Wang, H. M.; Duan, S. K.; Huang, T. W.; Wang, L. D.; Li, C. D., Exponential stability of complex-valued memristive recurrent neural networks, IEEE Trans Neural Netw Learn Syst, 28, 3, 766-771 (2017) |
| [26] | Wu, A. L.; Zeng, Z. G., Lagrange stability of memristive neural networks with discrete and distributed delays, IEEE Trans Neural Netw Learn Syst, 25, 4, 690-703 (2014) |
| [27] | Xiao, Q.; Zeng, Z. G., Lagrange stability for T-S fuzzy memristive neural networks with time-varying delays on time scales, IEEE Trans. Fuzzy Syst. (2017) |
| [28] | Wu, A. L.; Zeng, Z. G., Exponential stabilization of memristive neural networks with time delays, IEEE Trans Neural Netw Learn Syst, 23, 12, 1919-1929 (2012) |
| [29] | Yang, S. F.; Guo, Z. Y.; Wang, J., Robust synchronization of multiple memristive neural networks with uncertain parameters via nonlinear coupling, IEEE Trans Syst Man Cybern, 45, 7, 1077-1086 (2015) |
| [30] | Wang, G.; Shen, Y., Exponential synchronization of coupled memristive neural networks with time delays, Neural Comput Appl, 24, 6, 1421-1430 (2014) |
| [31] | Wan, Y.; Cao, J., Periodicity and synchronization of coupled memristive neural networks with supremums, Neurocomputing, 159, 137-143 (2015) |
| [32] | An, X.; Zhang, L.; Li, Y.; Zhang, J., Synchronization analysis of complex networks with multi-weights and its application in public traffic network, Phys A, 412, 10, 149-156 (2014) · Zbl 1395.90068 |
| [33] | Wang, J. L.; Wei, P. C.; Wu, H. N.; Huang, T.; Xu, M., Pinning synchronization of complex dynamical networks with multiweights, IEEE Trans. Syst. Man Cybern. (2017) |
| [34] | Qiu, S. H.; Huang, Y. L.; Ren, S. Y., Finite-time synchronization of multi-weighted complex dynamical networks with and without coupling delay, Neurocomputing, 275, 1250-1260 (2018) |
| [35] | Wang, Q.; Wang, J. L.; Huang, Y. L.; Ren, S. Y., Generalized lag synchronization of multiple weighted complex networks with and without time delay, J Frankl Inst, 355, 14, 6597-6616 (2018) · Zbl 1398.93036 |
| [36] | Tang, H. A.; Wang, J. L.; Wang, L.; Hu, X.; Zhou, Y.; Duan, S., Impulsive control for passivity and exponential synchronization of coupled neural networks with multiple weights, J. Franklin Inst. (2019) · Zbl 1415.93175 |
| [37] | Wang, J. L.; Xu, M.; Wu, H. N.; Huang, T., Finite-time passivity of coupled neural networks with multiple weights, IEEE Trans Netw Sci Eng, 5, 3, 184-197 (2018) |
| [38] | Hou, J.; Huang, Y. L.; Ren, S. Y., Anti-synchronization analysis and pinning control of multi-weighted coupled neural networks with and without reaction-diffusion terms, Neurocomputing, 330, 78-93 (2019) |
| [39] | Meng, X.; Chen, T., Event based agreement protocols for multi-agent networks, Automatica, 49, 7, 2123-2132 (2013) · Zbl 1364.93476 |
| [40] | Qing, L.; Feng, L.; Guo, C.; Hill, D.; Yang, D.; Wen, H., Event-triggered asynchronous intermittent communication strategy for synchronization in complex dynamical networks, Neural Netw, 66, 1-10 (2015) · Zbl 1396.93091 |
| [41] | Hu, A.; Cao, J.; Hu, M.; Guo, L., Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling, Phys A, 434, 99-110 (2015) · Zbl 1400.93284 |
| [42] | Lu, W.; Han, Y.; Chen, T., Pinning networks of coupled dynamical systems with Markovian switching couplings and event-triggered diffusions, J Frankl Inst, 352, 9, 3526-3545 (2015) · Zbl 1395.93060 |
| [43] | Huang, C.; Wang, W.; Cao, J.; Lu, J., Synchronization-based passivity of partially coupled neural networks with event-triggered communication, Neurocomputing, 319, 30, 134-143 (2018) |
| [44] | Dong, T.; Wang, A. J.; Zhu, H. Y.; Liao, X. F., Event-triggered synchronization for reaction-diffusion complex networks via random sampling, Phys A, 495, 454-462 (2018) · Zbl 1514.93004 |
| [45] | Zhou, B.; Liao, X. F.; Huang, T., Event-based exponential synchronization of complex networks, Cogn Neurodyn, 10, 423-436 (2016) |
| [46] | Lin, S. R.; Huang, Y. L.; Ren, S. Y., Event-triggered passivity and synchronization of delayed multiple-weighted coupled reaction-diffusion neural networks with non-identical nodes, Neural Netw, 121, 259-275 (2020) · Zbl 1443.93080 |
| [47] | Wang, J. L.; Qin, Z.; Wu, H. N.; Huang, T., Passivity and synchronization of coupled uncertain reaction-diffusion neural networks with multiple time delays, IEEE Trans Neural Netw Learn Syst, 30, 8, 2434-2448 (2019) |
| [48] | Lu, J. G., Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions, Chaos Solitons Fractals, 35, 116-125 (2008) · Zbl 1134.35066 |
| [49] | Xu, S.; Lam, J.; Ho, D. W.C.; Zou, Y., Global robust exponential stability analysis for interval recurrent neural networks, Phys Lett A, 325, 2, 124-133 (2004) · Zbl 1161.93335 |
| [50] | Lü, Q.; Liao, X. F.; Li, H. Q.; Huang, T., Achieving acceleration for distributed economic dispatch in smart grids over directed networks, IEEE Trans. Netw. Sci. Eng. (2020) |
| [51] | Lü, Q.; Liao, X. F.; Li, H. Q.; Huang, T., A nesterov-like gradient tracking algorithm for distributed optimization over directed networks, IEEE Trans. Syst. Man Cybern. (2019) |
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