Weak input-to-state stability: characterizations and counterexamples

被引：16

作者：

Schmid, Jochen ^{[1
,2
]}

机构：

[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany

[2] Fraunhofer Inst Ind Math ITWM, D-67663 Kaiserslautern, Germany

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2019年 / 31卷 / 04期

关键词：

Input-to-state stability (weak; strong; uniform); Robust stability; Infinite-dimensional dynamical systems with inputs; CONTROL-SYSTEMS; PARABOLIC PDES; ADMISSIBILITY; ISS;

D O I：

10.1007/s00498-019-00248-5

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 establish characterizations of weak input-to-state stability for abstract dynamical systems with inputs, which are similar to characterizations of uniform and of strong input-to-state stability established in a recent paper by A. Mironchenko and F. Wirth. We also investigate the relation of weak input-to-state stability to other common stability concepts, thus contributing to a better theoretical understanding of input-to-state stability theory.

引用

页码：433 / 454

页数：22

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