A Lyapunov-Krasovskii methodology. for ISS of time-delay systems

被引：0

作者：

Pepe, P. ^{[1
]}

Jiang, Z. -P. ^{[1
]}

机构：

[1] Univ Aquila, Dipartimento Ingn Elettr, I-67040 Laquila, Italy

来源：

2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8 | 2005年

关键词：

input-to-state stability (ISS); functional differential equations; nonlinear time-delay systems; Lyapunov-Krasovskii theorem;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability of non-linear time-delay systems. The methodology is feasible by the use, for instance, of the M-2 norm (that is the norm induced by the inner product in the Hilbert space known in literature as M-2, or Z) in the space of continuous functions, and by the use of functionals which have a suitable (simple) integral term with strictly increasing kernel. The proposed results can be seen as a preliminary step towards extending some existing stability criteria to nonlinear time-delay systems with disturbance inputs.

引用

页码：5782 / 5787

页数：6

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