一类新型Chua's电路的Lagrange稳定性分析

摘要

构造一类新型Chua's电路,研究该系统的Lagrange稳定性.对于给定参数,首先计算得到该系统具有正的Lyapunov指数,说明该系统具有混沌特性,然后证明该系统具有全局指数吸引集和正向不变集.对于该系统的三个不稳定平衡点,设计线性控制器,实现平衡点的全局指数稳定控制.数值仿真验证了结论的正确性.%A smooth Chua's Circuit is constructed and Lagrange stability is studied in this paper. For the given parameters, the chaotic characteristics of the system is confirmed as it exists positive Lyapunov exponent. Then, it is proved that the system has a global exponential attractive set and positive invariant set. For the three unstable equilibrium points of the system, a linear controller is designed to achieve global exponential stability of the equilibrium point. The numerical simulations verify the correctness of the conclusions.