Method of vector Lyapunov functions for impulsive fuzzy systems

被引：0

作者：

Devi, JV ^{[1
]}

Vatsala, AS

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Univ Louisiana, Dept Math, Lafayette, LA 70504 USA

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2004年 / 13卷 / 3-4期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that a single Lyapunov function will not always suffice to obtain sufficient conditions for stability results of dynamic systems. In this paper, we use the method of vector Lyapunov functions to obtain Lyapunov stability results of impulsive fuzzy dynamic systems. This has been achieved by a comparison theorem of impulsive fuzzy dynamic system in terms of ordinary impulsive dynamic systems.

引用

页码：521 / 531

页数：11

共 50 条

[1] Vector Lyapunov functions for impulsive differential systems with variable times
Kaul, SK
Liu, XZ
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS, 1999, 6 (01): : 25 - 38
[2] Method of vector Lyapunov-like functions and hybrid fuzzy differential systems
Sambandham, M
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2004, 13 (3-4): : 573 - 582
[3] Vector Lyapunov functions in impulsive variable-time differential systems
Dept. of Mathematics and Statistics, University of Regina, Regina, Sask. S4S 0A2, Canada
[J]. Nonlinear Anal Theory Methods Appl, 5 (2695-2698):
[4] Vector Lyapunov functions in impulsive variable-time differential systems
Kaul, SK
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (05) : 2695 - 2698
[5] Control vector Lyapunov functions for large-scale impulsive dynamical systems
Nersesov, Sergey G.
Haddad, Wassim M.
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2007, 1 (02) : 223 - 243
[6] A Class of Vector Lyapunov Functions for Stability Analysis of Nonlinear Impulsive Differential Systems
Zhang Qunli
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[7] Control vector lyapunov functions for large-scale impulsive dynamical systems
Nersesov, Sergey G.
Haddad, Wassim M.
[J]. PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 4815 - +
[8] METHOD OF LYAPUNOV VECTOR-FUNCTIONS FOR SYSTEMS WITH A LAG
GROMOVA, PS
PENYA, ML
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1981, (08): : 21 - 26
[9] Vector Lyapunov functions and conditional stability for systems of impulsive differential-difference equations
Bainov, DD
Stamova, IM
[J]. ANZIAM JOURNAL, 2001, 42 : 341 - 353
[10] Exponential Stability of Stochastic Impulsive Switched Delayed Systems Based on Vector Lyapunov Functions
Ren, Wei
Xiong, Junlin
[J]. 2017 11TH ASIAN CONTROL CONFERENCE (ASCC), 2017, : 1888 - 1893

← 1 2 3 4 5 →