Title :
About the properties of the upper Bohl exponents of diagonal discrete linear time-varying systems
Author :
Niezabitowski, Michał
Author_Institution :
Inst. of Autom. Control, Silesian Univ. of Technol., Gliwice, Poland
Abstract :
One of the most important numerical characteristics of dynamical systems used in control theory are the Bohl exponents. By contrast with the Lyapunov characteristics, the properties of the Bohl exponents are much less investigated in the literature. In this paper, we show the example of two-dimensional discrete time-varying linear system with bounded coefficients for which the number of upper Bohl exponents of solutions may be greater than dimension of the system.
Keywords :
discrete systems; exponential distribution; time-varying systems; Bohl exponents; discrete linear time-varying systems; dynamical systems; numerical characteristics; Asymptotic stability; Control systems; Differential equations; Linear systems; Stability criteria; Time-varying systems; Lyapunov exponent; stability of linear systems; time-varying systems; upper Bohl exponents;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4799-5082-9
DOI :
10.1109/MMAR.2014.6957473
