Title :
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
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 ¿constrained¿ 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;
Conference_Titel :
System Theory (SSST), 2010 42nd Southeastern Symposium on
Conference_Location :
Tyler, TX
Print_ISBN :
978-1-4244-5690-1
DOI :
10.1109/SSST.2010.5442855
