Basic problems in stability and design of switched systems

Author

Liberzon, Daniel ; Morse, A. Stephen

Author_Institution

Dept. of Electr. Eng., Yale Univ., New Haven, CT, USA

Volume

19

Issue

5

fYear

1999

fDate

10/1/1999 12:00:00 AM

Firstpage

59

Lastpage

70

Abstract

By a switched system, we mean a hybrid dynamical system consisting of a family of continuous-time subsystems and a rule that orchestrates the switching between them. The article surveys developments in three basic problems regarding stability and design of switched systems. These problems are: stability for arbitrary switching sequences, stability for certain useful classes of switching sequences, and construction of stabilizing switching sequences. We also provide motivation for studying these problems by discussing how they arise in connection with various questions of interest in control theory and applications

Keywords

asymptotic stability; continuous time systems; control system synthesis; stability; arbitrary switching sequences; continuous-time subsystems; hybrid dynamical system; stabilizing switching sequences; switched systems; Adaptive control; Air traffic control; Control systems; Control theory; Feedback control; Mechanical systems; Programmable control; Stability; Switched systems; Transient response;

fLanguage

English

Journal_Title

Control Systems, IEEE

Publisher

ieee

ISSN

1066-033X

Type

jour

DOI

10.1109/37.793443

Filename

793443