INPUT-TO-STATE STABILITY OF NON-AUTONOMOUS INFINITE-DIMENSIONAL CONTROL SYSTEMS

被引：0

作者：

Damak, Hanen ^{[1
]}

机构：

[1] Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2023年 / 13卷 / 03期

关键词：

Non-autonomous infinite-dimensional systems; input-to-state stability; integral input-to-state stability; Lyapunov methods; SMALL-GAIN THEOREM; LYAPUNOV FUNCTIONS; ASYMPTOTIC STABILITY; NONLINEAR-SYSTEMS; ISS;

D O I：

10.3934/merf.2022035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses input-to-state stability (ISS) and integral input-to-state stability (iISS) for non-autonomous infinite-dimensional control systems. With the notion of uniformly exponential stability scalar function, ISS and iISS are considered based on indefinite Lyapunov functions. In addition, we obtain several necessary and sufficient characterizations of the iISS property, expressed in terms of dissipation inequalities. As a result, the iISS criteria of non-autonomous bilinear systems is also established. Furthermore, an illustrative example is given to show the applicability of the results.

引用

页码：1212 / 1225

页数：14

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