Passivity-based synchronization via sampled-data control scheme

This work presents the passive synchronization control problem for time-varying delayed chaotic neural networks. With the help of a novel integral inequality, a time-dependent Lyapunov functional is applied to optimize the factual sampling pattern. A reciprocally convex approach is also applied to present delay dependent results. Finally, we present an demonstrated example to show the usability of the method.

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

[2]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[3]  Ju H. Park,et al.  Robust mixed H∞ and passive filtering for networked Markov jump systems with impulses , 2014, Signal Process..

[4]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[5]  Ju H. Park,et al.  Reliable mixed passive and ℋ∞ filtering for semi‐Markov jump systems with randomly occurring uncertainties and sensor failures , 2015 .

[6]  Shengyuan Xu,et al.  Passivity-based control for uncertain stochastic jumping systems with mode-dependent round-trip time delays , 2012, J. Frankl. Inst..

[7]  Alberto Isidori,et al.  A note on almost disturbance decoupling for nonlinear minimum phase systems , 1996 .

[8]  Lihua Xie,et al.  Robust control of nonlinear feedback passive systems , 1996 .

[9]  Emilia Fridman,et al.  Robust sampled-data stabilization of linear systems: an input delay approach , 2004, Autom..

[10]  Wen Yu.  Passive equivalence of chaos in Lorenz system , 1999 .

[11]  Wei Zhang,et al.  Chaotic synchronization and secure communication based on descriptor observer , 2009 .

[12]  Peng Shi,et al.  Sampled-Data Fuzzy Control of Chaotic Systems Based on a T–S Fuzzy Model , 2014, IEEE Transactions on Fuzzy Systems.

[13]  Alexandre Seuret,et al.  Jensen's and Wirtinger's Inequalities for Time-Delay Systems , 2013, TDS.