Lag synchronization for Cohen–Grossberg neural networks with mixed time-delays via periodically intermittent control

ABSTRACT In this paper, the exponential lag synchronization for a class of Cohen–Grossberg neural networks with discrete time-delays and distributed delays is investigated via periodically intermittent control. Some simple and useful criteria are derived by using mathematical induction method and the analysis technique which are different from the methods employed in correspondingly previous works. Finally, two examples and their numerical simulations are given to demonstrate the effectiveness of the proposed control schemes.

[1]  Guodong Zhang,et al.  Exponential lag synchronization for delayed memristive recurrent neural networks , 2015, Neurocomputing.

[2]  H. Yau,et al.  Chaos synchronization using fuzzy logic controller , 2008 .

[3]  Z. Guan,et al.  Stabilization of complex network with hybrid impulsive and switching control , 2008 .

[4]  Benedetta Lisena.  Dynamical behavior of impulsive and periodic CohenGrossberg neural networks , 2011 .

[5]  S. Arik,et al.  Global stability analysis of Cohen–Grossberg neural networks with time varying delays , 2005 .

[6]  E. M. Shahverdiev,et al.  Lag synchronization in time-delayed systems , 2002 .

[7]  Yunquan Ke,et al.  Stability analysis of fractional-order Cohen–Grossberg neural networks with time delay , 2015, Int. J. Comput. Math..

[8]  Kazuo Tanaka,et al.  A unified approach to controlling chaos via an LMI-based fuzzy control system design , 1998 .

[9]  Huaguang Zhang,et al.  Novel Weighting-Delay-Based Stability Criteria for Recurrent Neural Networks With Time-Varying Delay , 2010, IEEE Transactions on Neural Networks.

[10]  Louis M. Pecora,et al.  Synchronizing chaotic circuits , 1991 .

[11]  Zhidong Teng,et al.  Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control. , 2010, Chaos.

[12]  Shihua Zhang,et al.  Adaptive lag synchronization of chaotic Cohen-Grossberg neural networks with discrete delays. , 2012, Chaos.

[13]  Z. Zuo,et al.  A new method for exponential synchronization of chaotic delayed systems via intermittent control , 2010 .

[14]  Huaguang Zhang,et al.  Robust Global Exponential Synchronization of Uncertain Chaotic Delayed Neural Networks via Dual-Stage Impulsive Control , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[15]  Xinzhi Liu,et al.  Stability of impulsive control systems with time delay , 2004 .

[16]  Rathinasamy Sakthivel,et al.  Non-fragile synchronization of memristive BAM networks with random feedback gain fluctuations , 2015, Commun. Nonlinear Sci. Numer. Simul..

[17]  Stephen Grossberg,et al.  Absolute stability of global pattern formation and parallel memory storage by competitive neural networks , 1983, IEEE Transactions on Systems, Man, and Cybernetics.

[18]  Chen-Sheng Ting,et al.  Observer-based backstepping control of linear stepping motor , 2013 .

[19]  Yong He,et al.  Exponential synchronization of neural networks with time-varying mixed delays and sampled-data , 2010, Neurocomputing.

[20]  Yonghui Sun,et al.  Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation , 2007 .

[21]  Maoan Han,et al.  Exponential lag synchronization of delayed fuzzy cellular neural networks with impulses , 2009 .

[22]  Louis M Pecora,et al.  Synchronization of chaotic systems. , 2015, Chaos.

[23]  Guodong Zhang,et al.  Exponential synchronization of delayed memristor-based chaotic neural networks via periodically intermittent control , 2014, Neural Networks.

[24]  Jinde Cao,et al.  Adaptive synchronization of chaotic Cohen–Crossberg neural networks with mixed time delays , 2010 .

[25]  Tao Li,et al.  Synchronization control of chaotic neural networks with time-varying and distributed delays , 2009 .

[26]  Bo Li,et al.  Chaotic Lag Synchronization of Coupled Time-delayed Neural Networks with Two Neurons Using LMI Approach , 2007 .

[27]  Xuyang Lou,et al.  Synchronization of chaotic recurrent neural networks with time-varying delays using nonlinear feedback control , 2009 .

[28]  Zhidong Teng,et al.  Exponential synchronization of Cohen-Grossberg neural networks via periodically intermittent control , 2011, Neurocomputing.

[29]  Chuandong Li,et al.  Exponential stabilization of chaotic systems with delay by periodically intermittent control. , 2007, Chaos.

[30]  Jinde Cao,et al.  Stochastic synchronization of coupled neural networks with intermittent control , 2009 .

[31]  Y. Wang,et al.  Stability Analysis of Markovian Jumping Stochastic Cohen–Grossberg Neural Networks With Mixed Time Delays , 2008, IEEE Transactions on Neural Networks.

[32]  Jinde Cao,et al.  Boundedness and stability for Cohen–Grossberg neural network with time-varying delays☆ , 2004 .

[33]  Zhidong Teng,et al.  Exponential lag synchronization for delayed fuzzy cellular neural networks via periodically intermittent control , 2012, Math. Comput. Simul..

[34]  Huaguang Zhang,et al.  Global Asymptotic Stability of Recurrent Neural Networks With Multiple Time-Varying Delays , 2008, IEEE Transactions on Neural Networks.

[35]  Zengrong Liu,et al.  Periodically intermittent controlling complex dynamical networks with time-varying delays to a desired orbit , 2009 .

[36]  Kanjian Zhang,et al.  Synchronization control of recurrent neural networks with distributed delays , 2008 .

[37]  Zhidong Teng,et al.  Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control , 2010 .

[38]  Jinde Cao,et al.  Stability in Cohen–Grossberg-type bidirectional associative memory neural networks with time-varying delays , 2006 .

[39]  Chuandong Li,et al.  Stabilization of Delayed Chaotic Neural Networks by Periodically Intermittent Control , 2009, Circuits Syst. Signal Process..

[40]  Jinde Cao,et al.  Adaptive synchronization of neural networks with or without time-varying delay. , 2006, Chaos.

[41]  Jigen Peng,et al.  Exponential lag synchronization of fuzzy cellular neural networks with time-varying delays , 2012, J. Frankl. Inst..

[42]  Jinde Cao,et al.  Exponential lag synchronization of a class of chaotic delayed neural networks with impulsive effects , 2007 .