摘要
通过构造一个广义正定径向无界的Lyapunov函数和最优化理论,研究了一个在实际中描述血浆运动的PRT混沌系统的最终有界集和正向不变集,得到了三维椭球估计。将得到的变量xyz的界应用到混沌同步中,设计一个尽可能简单的线性控制器研究了该系统的完全同步。数值仿真验证了同步理论的有效性。
The ultimate bound and positively invariant set of PRT chaotic system that describes the plasma dymamies is in- vestigated via constructing a positively definite and radically unbounded Lyapunov function and optimization theory.For this system,a three-dimensional ellipsoidal ultimate bound and positively invariant set is derived.The upper bound about x,y,z is applied to the chaos synchronization.A simple linear controller is designed.Numerical simulations are presented to show the effectiveness of the proposed scheme.
出处
《计算机工程与应用》
CSCD
北大核心
2011年第29期242-245,共4页
Computer Engineering and Applications
基金
重庆市自然科学基金(No.2009BB3185)
关键词
最终有界集
正向不变集
混沌同步
数值仿真
ultimate bound
positively invariant set
chaotic synchronization
numerical simulations