Title :
On the Central Exponent of Discrete Time-varying Linear Systems
Author :
Czornik, Adam ; Nawrat, Aleksander
Author_Institution :
Dept. of Autom. Control, Silesian Tech. Univ., Gliwice, Poland
Abstract :
In this paper we introduce concept of central exponent of linear time varying discrete system. It is shown that this exponent describe the possible changes in the greatest Lyapunov exponent under small parametric perturbations. Finally we present a formula for the central exponent in terms of transition matrix of the system.
Keywords :
Lyapunov methods; discrete time systems; linear systems; matrix algebra; time-varying systems; Lyapunov exponent; central exponent concept; discrete time-varying linear systems; parametric perturbations; transition matrix; Difference equations; Educational institutions; Finite element methods; Linear matrix inequalities; Linear systems; Robustness; Time varying systems; Lyapunov exponents; characteristic exponents; perturbation theory; time varying discrete linear systems;
Conference_Titel :
Systems Engineering (ICSEng), 2011 21st International Conference on
Conference_Location :
Las Vegas, NV
Print_ISBN :
978-1-4577-1078-0
DOI :
10.1109/ICSEng.2011.12
