一类新型Chua's电路的Lagrange稳定性分析
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引用本文:施洋, 周国鹏, 廖晓昕.一类新型Chua's电路的Lagrange稳定性分析[J].计算技术与自动化,2012,(4):26-31
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作者单位
施洋, 周国鹏, 廖晓昕 (1.湖北科技学院 电子与信息工程学院湖北 咸宁4371002. 华中科技大学 控制科学与工程系湖北 武汉430074) 
中文摘要: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。
中文关键词:Chua's电路  吸引集  正向不变集  指数稳定
 
Lagrange Stability Analysis of a Class of New Chua's Circuit
Abstract: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.
keywords:chua's circuit  attractive set  positive invariant set  exponential stability
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