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非线性控制和优化系统中的浑沌运动
引用本文:田玉楚 席裕庚. 非线性控制和优化系统中的浑沌运动[J]. 控制与决策, 1995, 10(1): 1-7
作者姓名:田玉楚 席裕庚
作者单位:浙江大学工业控制技术研究所,上海交通大学
摘    要:从非线性动态系统的定理理论出发,研究非线性控制和优化系统中的浑沌运动。首先从拓扑的观点严格定义了浑沌,研究了一类特殊的圆周映射,讨论了Lyapunov指数及其在浑沌诊断中的应用,然后分别研究了离散采样、反馈延迟及系统优化诱发浑沌的可能性及机理,并据此导出一些有意义的结论。

关 键 词:非线性系统 反馈控制 优化系统 浑沌运动

Chaotic Motion in Nonlinear Control and Parameter-optimized Systems
Tian Yuchu, Fu Xuetong, Lu Yongzai, Xi Yugeng, Zhang Zhongjun. Chaotic Motion in Nonlinear Control and Parameter-optimized Systems[J]. Control and Decision, 1995, 10(1): 1-7
Authors:Tian Yuchu   Fu Xuetong   Lu Yongzai   Xi Yugeng   Zhang Zhongjun
Affiliation:Tian Yuchu; Fu Xuetong; Lu Yongzai; Xi Yugeng; Zhang Zhongjun (Zhejiang University) (Shanghai Jiaotong University)
Abstract:Chaotic behaviours in nonlinear control and parameter-optimized systems are studied in this paper from the viewpoint of qualitative theory of nonlinear dynamical systems. Chaos is strictly defined from topological view. Then, a special kihd of maps, circular map 9 is studied. Lyapunov exponent and its applications to chaos detection are discussed. Moreover, possibility and mechanism of feedback sampling, delay and parameter optimization inducing chaos are studied respectively. Some important results are then derived.
Keywords:nonlinear systems   dynamics   chaos   feedback control   sampling   delay   optimization  
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