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四维线性微分系统的混沌反控制理论及应用
引用本文:张丽丽,张晓丹.四维线性微分系统的混沌反控制理论及应用[J].北京科技大学学报,2004,26(6):673-677.
作者姓名:张丽丽  张晓丹
作者单位:北京科技大学应用科学学院,北京,100083
摘    要:提出了基于不连续的状态反馈方法,构造一类四维混沌系统的基本定理,实现了一类四维简单线性系统的混沌反控制.数值模拟验证了所提出理论的正确性.该理论为混沌系统的构造及其应用提供了理论基础.

关 键 词:线性微分系统  混沌反控制  不连续状态反馈  数值模拟  线性微分系统  四维混沌系统  控制理论  应用  Applications  Differential  System  Linear  Kind  Chaotification  提出理论  模拟验证  数值  混沌反控制  线性系统  基本定理  构造  方法  状态反馈  连续
修稿时间:2004年3月2日

Theorem of Chaotification for a Kind of 4-Dimensional Linear Differential System and its Applications
ZHANG Lili,ZHANG XiaodanApplied Sciences School,University of Science and Technology Beijing,Beijing ,China.Theorem of Chaotification for a Kind of 4-Dimensional Linear Differential System and its Applications[J].Journal of University of Science and Technology Beijing,2004,26(6):673-677.
Authors:ZHANG Lili  ZHANG XiaodanApplied Sciences School  University of Science and Technology Beijing  Beijing  China
Institution:ZHANG Lili,ZHANG XiaodanApplied Sciences School,University of Science and Technology Beijing,Beijing 100083,China
Abstract:The basic theorem for constructing a kind of 4-dimensional chaotic system is presented based on the feedback control method under discontinuous state. Chaotification of a kind of simple 4-dimensional linear differential system is achieved. Numeric simulations verify the correctness of the theorem.
Keywords:linear differential system  chaotification  discontinuous state feedback  numeric simulation
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