Criteria for Input-to-State Practical Stability

被引：27

作者：

Mironchenko, Andrii ^{[1
]}

机构：

[1] Univ Passau, Fac Comp Sci & Math, D-94030 Passau, Germany

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 01期

关键词：

Infinite-dimensional systems; input-to-state stability (ISS); nonlinear systems; practical stability; SMALL-GAIN THEOREM; LYAPUNOV FUNCTIONS; CIRCLE CRITERION; ISS; SYSTEMS;

D O I：

10.1109/TAC.2018.2824983

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For a broad class of infinite-dimensional systems, we characterize input-to-state practical stability (ISpS) using the uniform limit property and in terms of input-to-state stability. We specialize our results to systems with Lipschitz continuous flows and evolution equations in Banach spaces. The characterization of ISpS in terms of the limit property is novel already in the special case of ordinary differential equations.

引用

页码：298 / 304

页数：7

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