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
收藏
页码：1033 / 1039
页数：7
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