Impulsive stabilization and synchronization of a class of chaotic delay systems.

The problems of control and synchronization of a class of chaotic systems with time delay via the impulsive control approach are investigated. Based on the Lyapunov-like stability theory for impulsive functional differential equations, several sufficient conditions are derived to guarantee chaos control and synchronization. Furthermore, we address the chaos quasisynchronization in the presence of single-parameter mismatch. Several illustrated examples are also given to show the effectiveness of the proposed methods.

[1]  Xiaofeng Liao,et al.  Complete and lag synchronization of hyperchaotic systems using small impulses , 2004 .

[2]  K A Shore,et al.  Parameter mismatches and perfect anticipating synchronization in bidirectionally coupled external cavity laser diodes. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  C. Leung,et al.  Hopf bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function , 2001 .

[4]  Chuandong Li,et al.  Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication , 2004 .

[5]  Heinz G. Schuster,et al.  Handbook of Chaos Control: Foundations and Applications , 1999 .

[6]  Heinz G. Schuster,et al.  Handbook of Chaos Control: SCHUSTER:HDBK.CHAOS CONTR O-BK , 1999 .

[7]  Jianhua Shen,et al.  Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions , 1999 .

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

[9]  Hongtao Lu Chaotic attractors in delayed neural networks , 2002 .

[10]  Peng Jun Synchronization of a Coupled Time-Delay Chaotic System and Its Application to Secure Communications , 2003 .

[11]  C. Masoller Anticipation in the synchronization of chaotic semiconductor lasers with optical feedback. , 2001, Physical review letters.

[12]  Xiaofeng Liao,et al.  Impulsive synchronization of chaotic systems. , 2005, Chaos.

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

[14]  Chun-Mei Yang,et al.  Impulsive control of Lorenz system , 1997 .

[15]  K. Gopalsamy,et al.  Convergence under dynamical thresholds with delays , 1997, IEEE Trans. Neural Networks.

[16]  Qidi Wu,et al.  Impulsive control for the stabilization and synchronization of Lorenz systems , 2002 .

[17]  Tao Yang,et al.  In: Impulsive control theory , 2001 .

[18]  Xinzhi Liu,et al.  Impulsive stabilization and control of chaotic system , 2001 .