Stability of switched linear systems on non-uniform time domains

Author

Davis, John M. ; Gravagne, Ian A. ; Marks, Robert J. ; Miller, John E. ; Ramos, Alice A.

Author_Institution

Dept. of Math., Baylor Univ., Waco, TX, USA

fYear

2010

fDate

7-9 March 2010

Firstpage

127

Lastpage

132

Abstract

A recent development in Lyapunov stability theory allows for analysis of switched linear systems evolving on nonuniform, discrete time domains. The analysis makes use of an emerging mathematical framework termed dynamic equations on time scales. We will present stability conditions for a general, arbitrarily switched system and then for system with a Â¿constrainedÂ¿ switching signal. The results take the form of a compute-able inequality, which imposes conditions on the time domain itself.

Keywords

Lyapunov methods; differential algebraic equations; discrete time systems; linear systems; Lyapunov stability theory; arbitrarily switched system; compute-able inequality; constrained switching signal system; discrete time domains; dynamic equations; nonuniform time domains; stability conditions; switched linear systems; time scales; Difference equations; Differential equations; Educational institutions; Linear systems; Lyapunov method; Mathematics; Stability; Switched systems; Systems engineering and theory; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory (SSST), 2010 42nd Southeastern Symposium on

Conference_Location

Tyler, TX

ISSN

0094-2898

Print_ISBN

978-1-4244-5690-1

Type

conf

DOI

10.1109/SSST.2010.5442855

Filename

5442855