西南石油大学学报(自然科学版) ›› 1984, Vol. 6 ›› Issue (2): 65-74.DOI: 10.3863/j.issn.1000-2634.1984.02.06

• 论文 • 上一篇    

一类三阶非线性系统李雅普诺夫函数的构造

江茂泽 黄森楠 雷永声

  

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1984-04-20 发布日期:1984-04-20

ON THE CONSTRUCTION OF GLOBALLY ASYMPTO TICALLY STABLE LYAPUNOV' S FUNGTIONS OF A TYPE OF NONL (NEAR THI R卜ORDER SYSTEMS

Jiang Mao-ze Huang sen-nan Lei yong-sheng   

  • Received:1900-01-01 Revised:1900-01-01 Online:1984-04-20 Published:1984-04-20

摘要:

在本文中,构造出了一类三阶非线性系统李雅普诺夫函数,并给出这些系统全局渐近稳定的充分条件。显然,本文扩大了参考文献(3〕、(4)中所得的结果.

Abstract:

Lyapunov’s functions of a type of nonlinear third—order systems are constituted in this paper, and sufficient conditions assuring the global asymptotic stability of the trivial solutions are given. It is obvious that the results obtained in the literature references and [4]are extended.