Dwell-time stability conditions for infinite dimensional impulsive systems

被引：19
|
作者：
Dashkovskiy, Sergey [1 ]
Slynko, Vitalii [1 ]
机构：
[1] Univ Wurzburg, Inst Math, Emil-F Str 40, D-97074 Wurzburg, Germany
来源：
AUTOMATICA | 2023年 / 147卷
关键词：
Nonlinear systems; Impulsive systems; Input-to-state stability; Lyapunov methods; TO-STATE STABILITY;
D O I：
10.1016/j.automatica.2022.110695
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider nonlinear impulsive systems on Banach spaces subjected to disturbances and look for dwell-time conditions guaranteeing the ISS property. In contrary to many existing results our conditions cover the case where both continuous and discrete dynamics can be unstable simultaneously. Lyapunov type methods are used for this purpose. The effectiveness of our approach is illustrated on a rather nontrivial example, which is feedback connection of an ODE and a PDE system.(c) 2022 Elsevier Ltd. All rights reserved.
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页数：12
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