Exponential and global stability of nonlinear dynamical systems relative to initial time difference

被引：5

作者：

Li, An ^{[1
]}

Lv, Wei ^{[2
]}

Ye, Jianxiong ^{[3
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[3] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 12期

关键词：

Exponential stability; Global stability; Comparison principle; Vector Lyapunov function; INTEGRODIFFERENTIAL-INEQUALITIES; HORIZONTAL WELLS; CRITERIA;

D O I：

10.1016/j.amc.2010.12.097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The exponential and global stability of nonlinear differential dynamical systems with different initial times are investigated. Several criteria for the stability of nonlinear dynamical systems relative to initial time difference are obtained by means of vector Lyapunov functions. The obtained criteria have been applied to a proposed differential dynamic system. The numerical simulation validates our conclusions. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：5923 / 5929

页数：7

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