何志龙1,2, 陈小昆1
何志龙, 陈小昆. 具有饱和脉冲输入神经网络的局部指数同步[J]. 系统科学与数学, 2022, 42(3): 542-554.
HE Zhilong, CHEN Xiaokun. Local Exponential Synchronization of Neural Network with Saturated Impulsive Inputs[J]. Journal of Systems Science and Mathematical Sciences, 2022, 42(3): 542-554.
HE Zhilong1,2, CHEN Xiaokun1
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[1] Hopfield J J. Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences of the United States of America, 1982, 79:2554-2558. [2] Chua L O, Yang L. Cellular neural networks:Applications. IEEE Transactions on Circuits and Systems, 1988, 35(10):1273-1290. [3] Cohen M A. Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Transactions on Systems, Man, and Cybernetics SMC, 1983, 13(5):815-826. [4] He Z L, Li C D, Chen L, et al. Dynamic behaviors of the FitzHugh-Nagumo neuron model with state-dependent impulsive effects. Neural Networks, 2020, 121:497-511. [5] He Z L, Li C D, Li H F, et al. Global exponential stability of high-order Hopfield neural networks with state-dependent impulses. Physica A:Statistical Mechanics and Its Applications, 2020, 542:123434-1-21. [6] Zhang H G, Yang F S, Liu X D, et al. Stability analysis for neural networks with time-varying delay based on quadratic convex combination. IEEE Transactions on Neural Networks and Learning Systems, 2013, 24(4):513-521. [7] He Z L, Li C D, Cao Z R, et al. Periodicity and global exponential periodic synchronization of delayed neural networks with discontinuous activations and impulsive perturbations. Neurocomputing, 2021, 431:111-127. [8] Pecora L M, Carroll T L. Synchronization in chaotic systems. Physical Review Letters, 1990, 64(8):821-824. [9] Lu H. Chaotic attractors in delayed neural networks. Physics Letters A, 2002, 298(2):109-116. [10] Li C D, Liao X F, Wong K W. Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Physica D:Nonlinear Phenomena, 2004, 194(3-4):187-202. [11] Zou F, Nossek J A. A chaotic attractor with cellular neural networks. IEEE Transactions on Circuits and Systems, 1991, 38(7):811-812. [12] Chen G R, Zhou J, Liu Z R. Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. International Journal of Bifurcation and Chaos, 2004, 14(7):2229-2240. [13] Yang T, Chua L O. Impulsive stabilization for control and synchronization of chaotic systems:Theory and application to secure communication. IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications, 1997, 44(10):976-988. [14] Heagy J F, Carroll T L, Pecora L M. Experimental and numerical evidence for riddled basins in coupled chaotic systems. Physical Review Letters, 1994, 73(26):3528. [15] Cao J D, Li H, Ho D W. Synchronization criteria of Lur'e systems with time-delay feedback control. Chaos Solitons & Fractals, 2005, 23(4):1285-1298. [16] Huang D B. Simple adaptive-feedback controller for identical chaos synchronization. Physical Review E, 2005, 71(3):037203. [17] Yang Y Q, Cao J D. Exponential lag synchronization of a class of chaotic delayed neural networks with impulsive effects. Physica A:Statistical Mechanics and Its Applications, 2007, 386(1):492-502. [18] Li X D, Fu X L. Lag synchronization of chaotic delayed neural networks via impulsive control. IMA Journal of Mathematical Control and Information, 2012, 29(1):133-145. [19] Li X D, Rakkiyappan R. Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Communications in Nonlinear Science and Numerical Simulation, 2013, 18(6):1515-1523. [20] He Z L, Li C D, Cao Z R, et al. Stability of nonlinear variable-time impulsive differential systems with delayed impulses. Nonlinear Analysis:Hybrid Systems, 2021, 39:100970. [21] Lu J G, Chen G R. Global asymptotical synchronization of chaotic neural networks by output feedback impulsive control:An LMI approach. Chaos Solitons & Fractals, 2009, 41(5):2293-2300. [22] Li P, Cao J D, Wang Z D. Robust impulsive synchronization of coupled delayed neural networks with uncertainties. Physica A:Statistical Mechanics and Its Applications, 2007, 373:261-272. [23] Zhang Y P, Sun J T. Robust synchronization of coupled delayed neural networks under general impulsive control. Chaos Solitons & Fractals, 2009, 41(3):1476-1480. [24] Guan K Z. Global power-rate synchronization of chaotic neural networks with proportional delay via impulsive control. Neurocomputing, 2018, 283(29):256-265. [25] Xu Z L, Peng D X, Li X D. Synchronization of chaotic neural networks with time delay via distributed delayed impulsive control. Neural Networks, 2019, 118:332-337. [26] Hu T S, Lin Z L. Control Systems with Actuator Saturation:Analysis and Design. Boston, MA:Birkhäuser:Springer Science & Business Media, 2001. [27] Tarbouriech S, Garcia G, da Silva J M G, et al. Stability and Stabilization of Linear Systems With Saturating Actuators. London, U.K.:Springer, 2011. [28] Wu Z G, Shi P, Su H Y, et al. Local synchronization of chaotic neural networks with sampled-data and saturating actuators. IEEE Transactions on Cybernetics, 2014, 44(12):2635-2645. [29] Li H F, Li C D, Ouyang D Q, et al. Impulsive synchronization of unbounded delayed inertial neural networks with actuator saturation and sampled-data control and its application to image encryption. IEEE Transactions on Neural Networks and Learning Systems, 2021, 32(4):1460-1473. [30] He Z L, Li C D, Cao Z R, et al. Exponential stability of discrete-time delayed neural networks with saturated impulsive control, IET Control Theory and Applications, 2021, 15(12):1628-1645. [31] Wang H O, Tanaka K, Griffin M F. An approach to fuzzy control of nonlinear systems:stability and design issues. IEEE Transactions on Fuzzy Systems, 1996, 4(1):14-23. |
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