NEW ALGEBRAIC CRITERIA FOR ABSOLUTE STABILITY OF NONLINEAR-SYSTEMS

被引：1

作者：

HSIAO, FH ^{[1
]}

HSIEH, JG ^{[1
]}

CHANG, JS ^{[1
]}

机构：

[1] NATL SUN YAT SEN UNIV,INST ELECT ENGN,KAOHSIUNG 80424,TAIWAN

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 1995年 / 5卷 / 06期

关键词：

ALGEBRAIC CRITERIA; ABSOLUTE STABILITY; STURM THEOREM;

D O I：

10.1002/rnc.4590050605

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, new and simple algebraic criteria are derived via elementary proofs to provide easy sufficient conditions for the standard absolute stability problems of nonlinear systems, i.e. Lur'e problems. These criteria are equivalent to the famous graphical circle criteria and Popov criterion. By means of the Sturm theorem and the Euclidean division algorithm, a Routh-Hurwitz-like Sturm criterion is obtained. No graphical technique is needed. Only basic numerical manipulations are involved in the new criteria.

引用

页码：591 / 607

页数：17

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