LaSalle's theorems in impulsive semidynamical systems

被引:24
作者
Bonotto, E. M. [1 ]
机构
[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP, Brazil
基金
巴西圣保罗研究基金会; 瑞典研究理事会;
关键词
Impulsive semidynamical systems; Lyapunov function; Invariance principle; Asymptotic stability;
D O I
10.1016/j.na.2009.01.062
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a semidynamical system subject to variable impulses and we obtain the LaSalle invariance principle and the asymptotic stability theorem for this semidynamical system. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2291 / 2297
页数:7
相关论文
共 15 条
  • [11] ON IMPULSIVE SEMIDYNAMICAL SYSTEMS
    KAUL, S
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 150 (01) : 120 - 128
  • [12] Kaul S. K., 1994, J. Appl. Stochast. Anal., V7, P509, DOI [10.1155/S1048953394000390, DOI 10.1155/S1048953394000390]
  • [13] KAUL SK, 1992, SER APPL ANAL, V1, P335
  • [14] Lakshmikantham V., 1989, Theory of Impulsive Differential Equations, DOI [10.1142/0906, DOI 10.1142/0906]
  • [15] LaSalle J., 1976, Regional Conference Series in Applied Mathematics, DOI 10.1137/1.9781611970432