Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem

被引：342

作者：

Teel, AR ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1998年 / 43卷 / 07期

关键词：

delay systems; functional differential equations; input-to-state stability; Razumikhin theorem;

D O I：

10.1109/9.701099

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A Razumikhin-type theorem that guarantees input-to-state Stability for functional differential equations viith disturbances is established using the nonlinear small-gain theorem. The result is used to show that input-to-state stabilizability for nonlinear finite-dimensional control systems is robust, in an appropriate sense, to small time delays at the input. Also, relaxed Razumikhin-type conditions guaranteeing global asymptotic stability for differential difference equations are given.

引用

页码：960 / 964

页数：5

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