An alternative approach for stability analysis of discrete time nonlinear dynamical systems

被引：2

作者：

Bouyekhf, R. ^{[1
]}

Gruyitch, L. T. ^{[2
,3
]}

机构：

[1] Univ Bourgogne Franche Comte, UTBM, Nanomed Lab, Belfort, France

[2] John Kennedy 31-15, Belgrade 11070, Serbia

[3] UTBM, Belfort, France

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2018年 / 24卷 / 01期

关键词：

Discrete-time nonlinear systems; asymptotic stability; stability domain; G-functions; LYAPUNOV FUNCTIONS;

D O I：

10.1080/10236198.2017.1391239

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper endeavours to solve the problem of the necessary and sufficient conditions for testing asymptotic stability of the equilibrium state without using a positive definite or semi-definite Lyapunov function for time-invariant nonlinear discrete-time dynamical systems. The solution is based on the concept of the G-functions introduced in this paper. As a result, new necessary and sufficient conditions for asymptotic stability of such systems and an estimation or the exact determination of the asymptotic stability domain of the state x = 0 are established. Examples are worked out to illustrate the results.

引用

页码：68 / 81

页数：14