Finite-time and fixed-time stability analysis for time-varying systems: A dual approach

被引：0
|
作者：
Michalak, Anna [1 ]
机构：
[1] Department of Econometrics, Faculty of Economics and Sociology, University of Lodz, Rewolucji 1905 r. No. 41, Lodz,90-214, Poland
来源：
Journal of the Franklin Institute | 2022年 / 359卷 / 18期
关键词：
System stability;
D O I：
暂无
中图分类号：
N94 [系统科学]; C94 [];
学科分类号：
0711 ; 081103 ; 1201 ;
摘要：
In this paper we present a new dual approach to investigating the stability of the system of two nonautonomous ODE with the right-hand side being only Lebesgue measurable with respect to time t. We define a new dual Lapunov function S which depends on three variables, and we give sufficient conditions for finite and fixed-time stability for the system using a dual Hamilton-Jacobi inequality and taking advantage of a class of functions M and MB. This method allows simultaneous investigation of the finite and fixed-time stability of the primary and the dual equation. We give some examples to illustrate the results obtained. As an application of this dual approach, we define the region of attraction and illustrate with an example. © 2022
引用
收藏
页码：10676 / 10687
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