一类非线性时滞混沌系统的自适应脉冲同步  

Adaptive Impulsive Synchronization for a Class of Nonlinear Time-Delay Chaotic Systems

作　　者：张丽萍[1] 姜海波[1] 毕勤胜[2] 

机构地区：[1]盐城师范学院数学科学学院,江苏盐城224002 [2]江苏大学理学院,江苏镇江212013

出　　处：《数学的实践与认识》2012年第1期170-177,共8页Mathematics in Practice and Theory

基　　金：江苏省高校自然科学研究项目(10KJB510026);盐城师范学院自然科学研究项目(09YCKL015)

摘　　要：针对一类非线性时滞混沌系统,提出了一种新的自适应脉冲同步方案.首先基于Lyapunov稳定性理论、自适应控制理论及脉冲控制理论设计了自适应控制器、脉冲控制器及参数自适应律,然后利用推广的Barbalat引理,理论证明响应系统与驱动系统全局渐近同步,并给出了相应的充分条件.方案利用参数逼近Lipschitz常数,从而取消了Lipschitz常数已知的假设.两个数值仿真例子表明本方法的有效性.A new scheme of adaptive impulsive synchronization for a class of nonlinear timedelay chaotic systems is proposed in this paper. Firstly based on the Lyapunov stability theory, adaptive control theory and impulsive control theory, the adaptive controller, the impulsive controller and the parametric update laws are designed respectively. Then by the generalized Barbalat＇s lemma, global asymptotic synchronization between the driving system and the responding system are proved and some corresponding sufficient conditionS are also obtained. Some parameters are：used to approximate the Lipschitz constants, so that the assumptions that Lipschitz constants are known prior are not needed. Two numerical examples are given to show the effectiveness of the proposed method.

关 键 词：混沌系统 时滞系统 脉冲同步 自适应同步 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]