Stabilization and synchronization of chaotic systems via intermittent control

Abstract In this paper, we consider the stabilization and synchronization of chaotic systems via intermittent control with time varying control period and control width. Compared to existing results, some less conservative conditions are derived to guarantee the stabilization of nonlinear system. An effective adaptive-intermittent control law is also presented. Two examples are given to verify our proposed results.

[1]  Murat Akgül,et al.  A switching synchronization scheme for a class of chaotic systems , 2002 .

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

[3]  Guanrong Chen,et al.  Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback , 2009 .

[4]  Zidong Wang,et al.  Global Synchronization Control of General Delayed Discrete-Time Networks With Stochastic Coupling and Disturbances , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[5]  Debin Huang,et al.  A Simple Adaptive-feedback Controller for Identical Chaos Synchronization , 2022 .

[6]  J. Daafouz,et al.  An observer-based approach for input-independent global chaos synchronization of discrete-time switched systems , 2003 .

[7]  S. Boccaletti,et al.  Synchronization of chaotic systems , 2001 .

[8]  Gang Hu,et al.  Synchronization of a one-dimensional array of Chua's circuits by feedback control and noise , 1995 .

[9]  Leon O. Chua,et al.  Transmission of Digital signals by Chaotic Synchronization , 1992, Chua's Circuit.

[10]  Chi-Chuan Hwang,et al.  Exponential synchronization of a class of neural networks with time-varying delays , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[11]  Parlitz,et al.  Driving and synchronizing by chaotic impulses. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Chuandong Li,et al.  Stabilization of Nonlinear Systems via Periodically Intermittent Control , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[13]  Chuandong Li,et al.  Synchronization of chaotic systems with delay using intermittent linear state feedback. , 2008, Chaos.

[14]  Tao Yang,et al.  Impulsive control , 1999, IEEE Trans. Autom. Control..

[15]  Moez Feki,et al.  Synchronization of chaotic systems by using occasional coupling , 1997 .

[16]  Guo-Ping Jiang,et al.  A New Criterion for Chaos Synchronization Using Linear State Feedback Control , 2003, Int. J. Bifurc. Chaos.

[17]  Chai Wah Wu,et al.  A Simple Way to Synchronize Chaotic Systems with Applications to , 1993 .

[18]  R. E. Amritkar,et al.  Synchronization of chaotic orbits: The effect of a finite time step. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  Y. Soh,et al.  The stabilization and synchronization of Chua's oscillators via impulsive control , 2001 .

[20]  M. Zochowski.  Intermittent dynamical control , 2000 .

[21]  M. Noorani,et al.  Anti-synchronization of two hyperchaotic systems via nonlinear control , 2009 .

[22]  Antonio Loría,et al.  Adaptive Tracking Control of Chaotic Systems With Applications to Synchronization , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[23]  Leon O. Chua,et al.  Spread Spectrum Communication Through Modulation of Chaos , 1993 .

[24]  Rui-hong Li,et al.  Exponential generalized synchronization of uncertain coupled chaotic systems by adaptive control , 2009 .

[25]  U. Vincent,et al.  A simple adaptive control for full and reduced-order synchronization of uncertain time-varying chaotic systems , 2009 .

[26]  Leon O. Chua,et al.  Cryptography based on chaotic systems , 1997 .

[27]  Yang Tao,et al.  Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication , 1997 .