Impulsive synchronization of chaotic systems.

The issue of impulsive synchronization of a class of chaotic systems is investigated. Based on the impulsive theory and linear matrix inequality technique, some less conservative and easily verified criteria for impulsive synchronization of chaotic systems are derived. The proposed method is applied to the original Chua oscillators, and the corresponding synchronization conditions are obtained. Moreover, the boundary of the stable region is also estimated in terms of the equidistant impulse interval. The effectiveness of our method is shown by computer simulation.

[1]  L. Shilnikov Chua's circuit: rigorous results and future problems , 1993 .

[2]  Leon O. Chua,et al.  Secure communication via chaotic parameter modulation , 1996 .

[3]  Qidi Wu,et al.  Less conservative conditions for asymptotic stability of impulsive control systems , 2003, IEEE Trans. Autom. Control..

[4]  Changyun Wen,et al.  Impulsive control for the stabilization and synchronization of Lorenz systems , 2000 .

[5]  Zhengguo Li,et al.  Analysis and design of impulsive control systems , 2001, IEEE Trans. Autom. Control..

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

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

[8]  Qidi Wu,et al.  Some impulsive synchronization criterions for coupled chaotic systems via unidirectional linear error feedback approach , 2004 .

[9]  Grebogi,et al.  Communicating with chaos. , 1993, Physical review letters.

[10]  Tambe,et al.  Driving systems with chaotic signals. , 1992, Physical review. A, Atomic, molecular, and optical physics.

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

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

[13]  L. Shilnikov CHUA’S CIRCUIT: RIGOROUS RESULTS AND FUTURE PROBLEMS , 1994 .

[14]  Parlitz,et al.  General approach for chaotic synchronization with applications to communication. , 1995, Physical Review Letters.

[15]  Ned J. Corron,et al.  A new approach to communications using chaotic signals , 1997 .

[16]  Alan V. Oppenheim,et al.  Synchronization of Lorenz-based chaotic circuits with applications to communications , 1993 .