ASYMPTOTIC STABILITY AND STABILIZATION FOR A CLASS OF NONLINEAR DESCRIPTOR SYSTEMS WITH DELAY

被引：6

作者：

Wu, Jiancheng ^{[1
]}

Wo, Songlin ^{[2
]}

Lu, Guoping ^{[3
]}

机构：

[1] Changzhou Univ, Sch Informat Sci & Engn, Changzhou 213164, Jiangsu, Peoples R China

[2] Jiangsu Teachers Univ Technol, Sch Elect & Informat Engn, Changzhou 213001, Jiangsu, Peoples R China

[3] Nantong Univ, Sch Elect & Informat Engn, Nantong 226007, Jiangsu, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2011年 / 13卷 / 02期

关键词：

Nonlinear descriptor system; delay; asymptotic stability and stabilization; linear matrix inequality; state feedback; TIME SINGULAR SYSTEMS;

D O I：

10.1002/asjc.309

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 discusses asymptotic stability and stabilization for a class of nonlinear descriptor systems with delay. The nonlinearity of the system is a continuous function of the time and system state, and the Jacobi matrix of the function is norm-bounded. A sufficient condition for the existence and uniqueness of the solution to the descriptor system is proposed by a linear matrix inequality (LMI) approach. Under the condition, using nonlinear methods, the asymptotic stability for the system is obtained. In addition, to stabilize the descriptor system, a parameterized representation of the state feedback controller is given in terms of a solution to an LMI. Finally, the effectiveness of the approach is illustrated by numerical examples.

引用

页码：361 / 367

页数：7

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