Title :
Kinematic Similarity of the Discrete Linear Time-Varying Systems
Author :
Niezabitowski, Michal
Author_Institution :
Fac. of Autom. Control, Electron. & Comput. Sci., Silesian Univ. of Technol., Gliwice, Poland
Abstract :
For the discrete linear time-varying systems the necessary and sufficient conditions to being kinematically similar to a system with block-triangular or constant coefficients are presented. In particular, conditions for the system to be kinematically similar to a system with identity matrices coefficients are provided.
Keywords :
discrete systems; linear systems; matrix algebra; time-varying systems; block-triangular coefficients; constant coefficients; discrete linear time-varying systems; kinematic similarity; matrix coefficient; necessary conditions; sufficient conditions; Control theory; Kinematics; Linear matrix inequalities; Numerical stability; Stability; Time-varying systems; Upper bound; Lyapunov exponents; Lyapunov sequences; Perron exponents; discrete linear time-varying systems; kinematic similarity; reducibility;
Conference_Titel :
Control Systems and Computer Science (CSCS), 2015 20th International Conference on
Conference_Location :
Bucharest
Print_ISBN :
978-1-4799-1779-2
DOI :
10.1109/CSCS.2015.70