Cyclic linear differential automata: a simple class of hybrid dynamical systems

Author

Savkin, Andrey V. ; Matveev, Alexey S.

Author_Institution

Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia

Volume

3

fYear

1998

fDate

1998

Firstpage

3214

Abstract

We introduce a new class of hybrid dynamical systems, called the hybrid systems cyclic linear differential automata (CLDA). Our main results show that any CLDA can be reduced to a linear discrete-time system with periodic coefficients. Any CLDA has no singular points. Therefore, the simplest attractor in such systems is a periodic trajectory. We call a CLDA globally stable if it has a periodic trajectory which attracts all other trajectories of this system. A necessary and sufficient condition for global stability of CLDA is given. We apply our result to prove global stability of a flexible manufacturing system modelled as a switched server system

Keywords

automata theory; discrete time systems; flexible manufacturing systems; linear systems; production control; stability; cyclic linear differential automata; discrete-time system; flexible manufacturing system; global stability; hybrid dynamical systems; linear system; necessary condition; periodic coefficients; sufficient condition; switched server system; Automata; Control systems; Decision making; Discrete event systems; Flexible manufacturing systems; Physics computing; Stability; Sufficient conditions; Thermostats; Virtual manufacturing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.758193

Filename

758193