An approach to analyze the stability of a class of hybrid systems with delay

Author

Zheng, Gang ; Tan, Min ; Song, Yonghua

Author_Institution

Lab. of Complex Syst. & Intelligence Sci., Chinese Acad. of Sci., Beijing, China

Volume

2

fYear

2004

fDate

15-19 June 2004

Firstpage

1079

Abstract

This paper proposes an approach to analyze the stability of a class of hybrid systems with delay, where there only exists a bounded delay in continuous evolution but discrete transition occurs instantly. First, the class of hybrid systems is modeled as a hybrid automaton with delay (HAD). Based on the HAD model, the sufficient conditions of the stability for an equilibrium are presented. Furthermore, for the case where the continuous subsystems of the hybrid system are all linear time invariant systems with time delay, the linear matrix inequality (LMI) technique is employed to analyze the stability. Finally, a numerical example is presented to illustrate the developed results.

Keywords

continuous time systems; delays; linear matrix inequalities; linear systems; stability; bounded delay; continuous subsystems; hybrid automaton; hybrid systems; linear matrix inequality; linear time invariant systems; stability analysis; Asymptotic stability; Automata; Delay effects; Delay systems; Differential equations; Linear matrix inequalities; Mathematical model; Stability analysis; Sufficient conditions; Time invariant systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on

Print_ISBN

0-7803-8273-0

Type

conf

DOI

10.1109/WCICA.2004.1340777

Filename

1340777