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离散时间系统反控制的推广形式及其混沌存在性证明

发表时间:2014-08-31  浏览量:1553  下载量:448
全部作者: 禹思敏
作者单位: 广东工业大学自动化学院
摘 要: Chen-Lai算法和Wang-Chen算法是连续时间系统反控制的2种典型方法。在Chen-Lai算法和Wang-Chen 算法的基础上,以连续可微正弦函数为典型实例,分别研究这2种算法对应的离散时间系统反控制的2种推广形式。根据回归排斥子定义和Marotto定理,进一步给出这2种推广形式混沌存在性的更为一般的严格数学证明。
关 键 词: 混沌;反控制;正弦函数;推广形式
Title: Extended forms of anti-control of discrete-time systems and their proof of chaos existence
Author: YU Simin
Organization: School of Automation, Guangdong University of Technology
Abstract: Chen-Lai algorithm and Wang-Chen algorithm are two typical methods for anti-control continuous-time systems. Based on Chen-Lai algorithm and Wang-Chen algorithm, taking sine function as a typical example, the corresponding two extended forms of anti-control of discrete-time systems are then studied respectively. According to the definition of snap-back repeller and Marotto theorem, the more general and rigorous mathematical proofs of chaos existence are further given for these two extended forms.
Key words: chaos; ant-control; sine function; extended form
发表期数: 2014年8月第16期
引用格式: 禹思敏. 离散时间系统反控制的推广形式及其混沌存在性证明[J]. 中国科技论文在线精品论文,2014,7(16):1595-1603.
 
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