Constructing Lyapunov-Krasovskii functionals for linear positive continuous time difference systems

被引：0
|
作者：
Aleksandrov, Alexander [1 ]
机构：
[1] St Petersburg State Univ, Fac Appl Math & Control Proc, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2024年 / 41卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
linear functional difference system; delay; positive system; stability; Lyapunov-Krasovskii functional; switching; EXPONENTIAL STABILITY; EQUATIONS;
D O I：
10.1093/imamci/dnae029
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a linear positive functional difference system with discrete and distributed delays is studied. It is proved that if the considered system is exponentially stable, then it admits both linear and diagonal quadratic Lyapunov-Krasovskii functionals. In addition, new exponential stability conditions for switched linear positive functional difference systems are obtained on the basis of a constructive approach to the design of common Lyapunov-Krasovskii functionals for the associated families of subsystems.
引用
收藏
页码：634 / 646
页数：13
相关论文
共 50 条
12345