Title :
On the stability of Lyapunov exponents of discrete linear systems
Author :
Czornik, Adam ; Nawrat, Aleksander ; Niezabitowski, Michal
Author_Institution :
Fac. of Autom. Control, Electron. & Comput. Sci., Silesian Univ. of Technol., Gliwice, Poland
Abstract :
In this paper we present a sufficient condition for continuity, called in the paper stability, of Lyapunov exponents of discrete time-varying linear system. Basing on the result we show that Lyapunov exponents of time-invariant systems depend continuously on the time-varying perturbations.
Keywords :
Lyapunov methods; discrete time systems; linear systems; perturbation theory; stability; time-varying systems; Lyapunov exponent stability; discrete time-varying linear system; sufficient condition; time-invariant systems; time-varying perturbations; Computational modeling; Control theory; Linear approximation; Linear systems; Stability criteria; Time-varying systems; Lyapunov exponents; characteristic exponents; perturbation theory; time-varying discrete linear systems;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
