New delay-dependent stability and stabilization of linear system with state and input delays

Author

Wang, Yijing ; Yan, Xianbo ; Zuo, Zhiqiang ; Zhao, Huimin ; Zhang, Guoshan

Author_Institution

Sch. of Electr. Eng.&Autom., Tianjin Univ., Tianjin

fYear

2008

fDate

2-4 July 2008

Firstpage

4732

Lastpage

4737

Abstract

This note deals with the delay-dependent stability and stabilization of linear system with state and input delays. Firstly, for the nominal system, by introducing the augmented Lyapunov functional and some free-weighting matrices, new delay-dependent stability and stabilization criteria of the system are presented. Then, these new conditions are extended to handle norm-bounded uncertain systems with state and input delays, which show less conservativeness. Numerical examples are given to illustrate the effectiveness of the proposed results.

Keywords

Lyapunov methods; delay systems; linear systems; matrix algebra; stability; uncertain systems; Lyapunov functional; delay-dependent stability; free-weighting matrix; input delay; linear system stabilization; norm-bounded uncertain system; Automatic control; Automation; Delay effects; Electric variables measurement; Linear systems; Process control; Stability analysis; Stability criteria; Symmetric matrices; Uncertainty; Augmented Lyapunov functional; Delay-dependent; Integral inequality; Linear matrix inequality (LMI); Stabilization; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4598228

Filename

4598228