基于一般Lur'e系统的混沌同步研究

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Study for Chaos Synchronization Based on General Lur'e Systems

1.
Department of Control science&Engineering,Huazhong University of Science&Technology,Wuhan;Department of Information&Computation Science,Zhuzhou Institute of Technology,Zhuzhou;Department of Applied mathematics,University of Waterloo,Waterloo Ontario N2L 3G1 Canada

摘要: 许多混沌系统可以转化为一个Lur'e系统.本文采用时滞反馈控制技术研究了一般 Lur'e系统的混沌同步问题,改进了最近有关文献的结果.通过利用Lyapunov-Krasovskii函数法得到了时滞无关的线性矩阵不等式(LMI)判据,而且还通过利用M-矩阵等方法,得到了易于检验的时滞相关与时滞无关的代数判据,利用这些结果给出了这种反馈控制器的设计方法;最后,给出的例子阐明了所得到的结果.
- 一般Lur'e系统 /
- 混沌同步 /
- 时滞 /
- Lyapunov-Krasovskii函数 /
- M-矩阵 /
- 全局稳定
Abstract: Many chaotic systems can be changed into a Lur'e system. This paper studies chaos synchronization problem based on the general Lur'e systems by using a time-delay feedback technique。and the findings have improved some research results in recent literatures. Some delay-independent LMI criterion is derived by means of Lyapunov-Krasovskii function．Moreover, by using the M-matrix method, some fairly simple delay-dependent and delay-independent algebraic criteria are also established to facilitate the design of such feedback: controllers. Finally, some examples are given to illustrate the applications of the theory.
- General Lur'e system /
- chaos synchronization /
- time-delay /
- Lyapunov-Krasovskii function /
- M-Matrix /
- global stability