Title :
Generalized spectral radius and Lyapunov exponents of linear time varying systems
Author :
Czornik, Adam ; Nawrat, Aleksander
Author_Institution :
Silesian Tech. Univ., Gliwice
Abstract :
In this paper we consider discrete time varying linear systems with matrix coefficients in fixed set and we describe the set of all possible Lyapunov exponents for the system. We describe this set in terms of generalized spectral sub radius and the generalized spectral radius of the set of possible values of the coefficients.
Keywords :
Lyapunov methods; discrete time systems; linear systems; matrix algebra; time-varying systems; Lyapunov exponents; discrete time varying linear systems; generalized spectral radius; linear time varying systems; matrix coefficients; Automata; Computer applications; Control systems; Control theory; Hysteresis; Linear systems; Markov processes; Stability; Time varying systems;
Conference_Titel :
Control Applications, 2007. CCA 2007. IEEE International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-0442-1
Electronic_ISBN :
978-1-4244-0443-8
DOI :
10.1109/CCA.2007.4389415
