Title :
Stability analysis for switched systems with continuous-time and discrete-time subsystems: a Lie algebraic approach
Author :
Zhai, Guisheng ; Liu, Serong ; Imae, Joe ; Kobayashi, Tomoaki
Author_Institution :
Dept. Mech. Eng., Osaka Prefecture Univ., Japan
Abstract :
We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. A numerical example is provided to demonstrate the result.
Keywords :
Lie algebras; Lyapunov matrix equations; asymptotic stability; continuous time systems; discrete time systems; switched networks; Hurwitz/Schur stability; arbitrary switching exponential stability; continuous-time subsystems; discrete-time subsystems; quadratic Lyapunov function; subsystem matrix Lie algebra; switched system stability analysis; Algebra; Application software; Books; Control systems; Linear systems; Lyapunov method; Mechanical engineering; Regulators; Stability analysis; Switched systems;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465304
