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
收藏
页码：68 / 81
页数：14
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