您的位置:山东大学 -> 科技期刊社 -> 《山东大学学报(理学版)》

J4 ›› 2012, Vol. 47 ›› Issue (10): 97-101.

• 论文 • 上一篇    下一篇

广义Lorenz系统全局稳定的充要条件及其在混沌控制中的应用

鞠培军   

  1. 泰山学院数学与系统科学学院, 山东 泰安 271021
  • 收稿日期:2011-06-28 出版日期:2012-11-20 发布日期:2012-10-26
  • 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)

Sufficient and necessary conditions for global stability of generalized Lorenz system and its applications to chaos control

JU Pei-jun   

  1. Department of Mathematics and System Science, Taishan University, Tai’an 271021, Shandong, China
  • Received:2011-06-28 Online:2012-11-20 Published:2012-10-26

摘要:

研究了广义Lorenz系统零平衡点的全局稳定问题,给出了一些全局指数稳定和全局渐近稳定的代数判据。利用所提出的代数判据得到了一些具有更少保守性的反馈律,保证了Chen系统、L系统和Yang-Chen系统的全局指数稳定。

关键词: 广义Lorenz系统;全局稳定;充要条件; 混沌控制

Abstract:

The global stability of zero equilibrium point of the generalized Lorenz system was studied,and some algebraic criteria of globally exponential stability and globally asymptotical stability were obtained. Then,based on these criteria, some less conservative feedback-control laws  that  can guarantee the globally exponential stability of the controlled Chen system, L system and YangChen system were presented.

Key words:  generalized Lorenz system; global stability; sufficient and necessary conditions; chaos control

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!