Criteria on boundedness in terms of two measures for discrete systems

被引：3

作者：

Wang, Peiguang ^{[1
]}

Wu, Haixia ^{[2
]}

Wu, Yonghong ^{[3
]}

机构：

[1] Hebei Univ, Coll Elect & Informat Engn, Baoding 071002, Peoples R China

[2] Hebei Univ, Coll Math & Comp Sci, Baoding 071002, Peoples R China

[3] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

APPLIED MATHEMATICS LETTERS | 2008年 / 21卷 / 12期

关键词：

Discrete systems; Boundedness in terms of two measures; Vector Lyapunov functions; Comparison principle; Upper quasi-monotone;

D O I：

10.1016/j.aml.2007.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new concept of boundedness, which unifies various boundedness notions and leads to other notions connecting them, is defined in terms of two measures. An attempt for discrete systems tries to offer sufficient conditions for obtaining boundedness criteria for such concepts. The employing of vector Lyapunov functions and a new comparison principle covers several known results in usual boundedness theory and, therefore, the present framework provides an additional unification. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1221 / 1228

页数：8

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