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
收藏
页码：361 / 367
页数：7
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