Robust stabilization of linear differential inclusion system with time delay

被引：14

作者：

Liu, Leipo ^{[1
]}

Han, Zhengzhi ^{[1
]}

Cai, Xiushan ^{[2
]}

Huang, Jun ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Elect & Informat Engn, Shanghai 200240, Peoples R China

[2] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2010年 / 80卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Robust stabilization; Linear differential inclusion; Time delay; Convex hull quadratic Lyapunov functions;

D O I：

10.1016/j.matcom.2009.10.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper is concerned with robust stabilization of linear differential inclusion systems with time delay. A nonlinear feedback law is established by using convex hull quadratic Lyapunov functions to make the state exponentially stable. An example is given to illustrate the effectiveness of the proposed method. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：951 / 958

页数：8

共 17 条

[1] [Anonymous], INTRO THEORY DIFFERE
[2] Aubin J.P., 1990, SET VALUED ANAL, DOI 10.1007/978-0-8176-4848-0
[3] Aubin J.P., 1984, DIFFERENTIAL INCLUSI
[4] Robust state feedback control of LTV systems: Nonlinear is better than linear
Blanchini, F
Megretski, A
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) : 802 - 807
[5] Boyd S., 1994, LINEAR MATRIX INEQUA
[6] Saturated control design for linear differential inclusions subject to disturbance
Cai, Xiushan
Liu, Leipo
Zhang, Wei
[J]. NONLINEAR DYNAMICS, 2009, 58 (03) : 487 - 496
[7] Halany A., 1966, DIFFERENTIAL EQUATIO
[8] Nonlinear control design for linear differential inclusions via convex hull of quadratics
Hu, Tingshu
[J]. AUTOMATICA, 2007, 43 (04) : 685 - 692
[9] Hu TS, 2005, IEEE DECIS CONTR P, P8100
[10] Composite quadratic Lyapunov functions for constrained control systems
Hu, TS
Lin, ZL
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (03) : 440 - 450

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