Title :
About the number of the lower Bohl exponents of diagonal discrete linear time-varying systems
Author :
Czornik, Adam ; Klamka, Jerzy ; Niezabitowski, Michal
Author_Institution :
Fac. of Autom. Control, Electron. & Comput. Sci., Silesian Univ. of Technol., Gliwice, Poland
Abstract :
The Bohl exponents, similarly as Lyapunov exponents, are one of the most important numerical characteristics of dynamical systems used in control theory. Properties of the Bohl exponents, by contrast with Lyapunov characteristics, are much less investigated. In this paper we investigate some new properties of the lower Bohl exponents of the diagonal discrete time-varying linear system.
Keywords :
Lyapunov methods; discrete systems; linear systems; time-varying systems; Lyapunov characteristics; Lyapunov exponents; control theory; diagonal discrete linear time-varying systems; dynamical systems; lower Bohl exponents; Asymptotic stability; Discrete-time systems; Indexes; Linear systems; Numerical stability; Stability criteria; Time-varying systems; Lower Bohl exponent; Lyapunov exponent; Stability of linear systems; Time-varying systems;
Conference_Titel :
Control & Automation (ICCA), 11th IEEE International Conference on
Conference_Location :
Taichung
DOI :
10.1109/ICCA.2014.6870964
