摘要
针对参数未知不同阶非自治混沌系统,先采用改进的广义投影同步和降阶方法,将不同阶数混沌系统的广义投影同步问题转化为相同阶数混沌系统间的广义投影同步问题。再利用Lyapunov稳定性理论和自适应控制方法,给出自适应控制器和参数自适应律,进而实现不同阶数混沌系统的广义投影同步,并且可以辨识驱动系统和响应系统的所有参数。数值模拟进一步证明了该方法的有效性。
Aimed at different orders of chaotic systems with unknown parameters, this paper begins with the translation of the problem of generalized projective synchronization of different orders of chaotic systems into the synchronization of systems of identical order by the improved generalized projective synchronization and subtract-order method. The paper proceeds to use Lyapunov stability theory and adaptive control method, adaptive controller and adaptive law of parameters to realize generalized projective synchronization of different orders of chaotic systems and enable the estimation of the parameters of the drive and the response systems. Numerical simulations prove the validity of this method.
出处
《黑龙江科技学院学报》
CAS
2009年第2期136-139,共4页
Journal of Heilongjiang Institute of Science and Technology
基金
甘肃省自然科学基金项目(3ZS051-A25-030
3ZS-042-B25-049)
关键词
广义投影同步
异结构
参数未知
generalized projective synchronization
different structure
unknown parameters
作者简介
刘开明(1983-),男,山东省济宁人,硕士,研究方向:非线性动力学及分岔与混沌控制,E-mail:lkm163@126.com