Class-K Function Bounds for Positive Definite Functions on Compact Sets

被引：0

作者：

Lee, Seungjoon ^{[1
]}

Lee, Jin Gyu ^{[1
]}

Kim, Hongkeun ^{[2
]}

机构：

[1] Seoul Natl Univ, Dept Elect & Comp Engn, ASRI, Seoul 08826, South Korea

[2] Korea Univ Technol & Educ, Sch Mechatron Engn, Cheonan 31253, South Korea

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2019年 / 17卷 / 10期

基金：

新加坡国家研究基金会;

关键词：

Comparison functions; nonlinear systems; positive definite functions; stability analysis; INPUT;

D O I：

10.1007/s12555-018-0782-6

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 technical note focuses on positive definite functions defined on compact sets which contain the origin in their interior. It provides a class-K function bounding inequality for the given positive definite function which is satisfied for its entire domain of definition. An application of the result is also given to analyze the stability of perturbed nonlinear systems whose nominal parts contain an asymptotically stable equilibrium point at the origin.

引用

页码：2550 / 2555

页数：6

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