On robustness of impulsive stabilization

被引：39

作者：

Feketa, Petro ^{[1
]}

Bajcinca, Naim ^{[2
]}

机构：

[1] Christian Albrechts Univ Kiel, Chair Automat Control, Kaiserstr 2, D-24143 Kiel, Germany

[2] Univ Kaiserslautern, Dept Mech & Proc Engn, Gottlieb Daimler Str, D-67663 Kaiserslautern, Germany

来源：

AUTOMATICA | 2019年 / 104卷

关键词：

Impulsive differential equation; Global asymptotic stability; Robustness; TO-STATE STABILITY; SYSTEMS;

D O I：

10.1016/j.automatica.2019.02.056

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper studies global asymptotic stability property of the trivial solution to nonlinear impulsive differential equations. Robustness of the global asymptotic stability with respect to the perturbations of the moments of jumps is investigated. Less conservative estimates on the admissible magnitude of perturbations preserving stability compared to the existing ones in the literature are proposed. A relation between stability properties of the perturbed and unperturbed systems is studied. Finally, utilizing Wintner-Conti theorem, we present two new Lyapunov-like theorems ensuring the global asymptotic stability of the impulsive system with unstable continuous dynamics that is being stabilized by impulsive jumps and discuss their relation to the previously known results. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：48 / 56

页数：9

共 34 条

[1]

[Anonymous], 1987, Differential Equations with Impulse Effect

[2]

[Anonymous], 1967, Matematicheskii Sbornik

[3]

[Anonymous], 2003, DIFF EQUAT+

[4] Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints [J].