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控制与同步连续时间混沌系统的非线性反馈方法
A NONLINEAR STATE FEEDBACK APPROACH TO THE CONTROL AND SYNCHRONIZATION OF CONTINUOUS\|TIME CHAOTIC SYSTEMS
【摘要】 在将连续时间混沌系统的控制与同步问题统一处理的基础上,给出了一种可实现两个相同或不同连续时间混沌系统的控制与同步的非线性状态反馈方法.该方法以著名的 Lyapunov 技术为基础,当目标和被控系统的状态变量都有界时,不论目标系统是处于平衡点、周期、拟周期、混沌或超混沌状态,都可使被控制系统按照目标系统给定的轨道演化,并且是大范围可控和可同步的.
【Abstract】 This paper presents a nonlinear state feedback approach to the control and synchronization of chaotic nonlinear dynamic systems based on a unified frame for both the control and the synchronization.Assuming the boundedness of chaotic attractors and limit cycles,the approach,which is both global and not reliant on complete knowledge of the systems involved,is rigorously proved by means of Lyapunov theory.An application to the synchronization of three chaotic systems is given. PACC: 0545
- 【文献出处】 物理学报 ,ACTA PHYSICA SINICA , 编辑部邮箱 ,1999年09期
- 【分类号】O415.5
- 【被引频次】58
- 【下载频次】255