Stability analysis for a kind of multi-variable linear systems with delayed state

Author

Limei, Yan ; Jianjun, Xu ; Yingyu, Ren ; Xiaobin, Liu

Author_Institution

Dept of Autom. & Control Eng., Daqing Pet. Inst., China

Volume

1

fYear

2002

fDate

2002

Firstpage

174

Abstract

Based on Lyapunov´s theory of stability, a equation of sufficient condition for multivariable linear delayed systems with delayed independent stabilization is derived and another forms are also given. Based on this, several simple criterions for judging independent stabilization from linear delayed system are presented. We also discuss the exponential stability for delayed system and also provide the sufficient condition of exponential stability with any appointed convergent rate and its corresponding deductions. Using these conditions, we can choose a set of suitable parameters to reduce the conservation. By calculating and being compared with methods of the literature, the results show that our methods have less conservation.

Keywords

Lyapunov methods; asymptotic stability; control system analysis; convergence; delays; linear systems; multivariable control systems; stability criteria; Lyapunov theory; convergence rate; delayed independent stabilization; delayed state; delayed system; exponential stability condition; independent stabilization criteria; multi-variable linear systems; multivariable linear delayed systems; stability analysis; Automation; Delay effects; Delay lines; Delay systems; Differential equations; Linear systems; Lyapunov method; Stability analysis; Sufficient conditions; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2002. Proceedings of the 4th World Congress on

Print_ISBN

0-7803-7268-9

Type

conf

DOI

10.1109/WCICA.2002.1022092

Filename

1022092