Boundedness and stability in nonlinear discrete systems with nonlinear perturbation

被引：5

作者：

Raffoul, YN ^{[1
]}

Dib, YM ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2003年 / 9卷 / 09期

关键词：

nonlinear Volterra discrete systems; Lyapunov functionals; uniform ultimate bounded; exponential and uniform exponential stability;

D O I：

10.1080/1023619021000047699

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonlinear Volterra discrete system with nonlinear peturbation x(n + 1) = A(n)x(n) + Sigma(s=0)(n) B(n, s)f(s, x(s)) + g(n, x(n)). Our goal is to use Lyapunov functionals to obtain conditions that guarantee all solutions of the above Volterra equation are bounded and derive conditions that ensure asymptotic stability and exponential stability, in the case x = 0 is a solution.

引用

页码：853 / 862

页数：10

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