Uniform asymptotic stability in nonlinear Volterra discrete systems

被引：10

作者：

Eloe, PW ^{[1
]}

Islam, MN ^{[1
]}

Raffoul, YN ^{[1
]}

机构：

[1] Univ Dayton, Dept Math, Dayton, OH 45469 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 45卷 / 6-9期

关键词：

total and asymptotic stability; resolvent; discrete systems; Liapunov functional;

D O I：

10.1016/S0898-1221(03)00081-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We employ the notion of total stability to obtain new criteria for uniform asymptotic stability of the zero solution of a nonlinear Volterra discrete system. Resolvent equation methods are employed, and a summability criterion on the resolvent kernel is obtained. Also, we obtain a new difference equation that the resolvent R(n, s) satisfies. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：1033 / 1039

页数：7

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