Yang-Chen系统的全局指数吸引集及其在混沌控制中的应用

J4 ›› 2012, Vol. 47 ›› Issue (7): 85-90.

Yang-Chen系统的全局指数吸引集及其在混沌控制中的应用

鞠培军¹,彭岩²,张卫¹,田力¹,刘国彩¹,孔宪明¹

1.泰山学院数学与系统科学学院, 山东泰安 271021;
2. 泰山职业技术学院基础部数学组, 山东泰安 271000

收稿日期:2011-06-28 出版日期:2012-07-20 发布日期:2012-09-01
作者简介:鞠培军（1975- ），男，讲师，主要从事时滞系统理论的研究. Email：jpj615@163.com
基金资助:
山东省自然科学基金资助项目(ZR2011AQ022)；山东省高校科研发展计划项目(J10LA51, J11LA51)

Globally exponentially attractive set of Yang-Chen system and its applications to chaos control

JU Pei-jun¹, PENG Yan², ZHANG Wei¹, TIAN Li¹, LIU Guo-cai¹, KONG Xian-ming¹

1. Department of Mathematics and System Science, Taishan University, Tai′an 271021, Shandong, China;
2. Mathematical Section, Department of Fundamental Courses, Taishan Vocational Technology Institute,
Tai′an 271000, Shandong, China

Received:2011-06-28 Online:2012-07-20 Published:2012-09-01

摘要/Abstract

摘要：

通过线性变换和构造广义Lyapunov函数,得出全局指数吸引集估计的新方法,并给出了最终界的精确估计式。将结果应用到Yang-Chen系统的混沌控制问题,给出了一种使系统指数稳定的具有更少保守性的反馈控制律。

关键词: Yang-Chen系统;全局指数吸引集;广义Lyapunov函数

Abstract:

By constructing a linear transformation and a family of generalized Lyapunov functions, a new method was proposed to obtain globally exponentially attractive sets of YangChen system. And the explicit estimations of the ultimate bounds were derived. In conclusion, this result was applied to the global exponential stability for the chaos control of the Yang-Chen system, and the control was presented by using a less conservative feedback control law.

Key words: Yang-Chen system; global exponentially attractive set;generalized Lypunov function

鞠培军1,彭岩2,张卫1,田力1,刘国彩1,孔宪明1. Yang-Chen系统的全局指数吸引集及其在混沌控制中的应用[J]. J4, 2012, 47(7): 85-90.

JU Pei-jun1, PENG Yan2, ZHANG Wei1, TIAN Li1, LIU Guo-cai1, KONG Xian-ming1. Globally exponentially attractive set of Yang-Chen system and its applications to chaos control[J]. J4, 2012, 47(7): 85-90.

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