Title :
Positive Continuous-Time Linear Lyapunov Systems
Author :
Kaczorek, Tadeusz ; Przyborowski, Przemysaw
Author_Institution :
Warsaw Univ. of Technol., Warsaw
Abstract :
The notion of positive continuous-time Lyapunov system is introduced. Necessary and sufficient conditions for the positivity and the asymptotic stability of this system are established. Using the Kronecker product of matrices sufficient conditions are given for reachability and the Cayley-Hamilton theorem is extended for Lyapunov systems. The considerations are illustrated by numerical examples.
Keywords :
Lyapunov matrix equations; asymptotic stability; continuous time systems; linear systems; polynomials; Cayley-Hamilton theorem; Kronecker product; asymptotic stability; matrix algebra; polynomials; positive continuous-time linear Lyapunov systems; Asymptotic stability; Atmospheric modeling; Biological system modeling; Control systems; Equations; Industrial electronics; Linear systems; Sufficient conditions; Thermal pollution; Water storage; Cayley-Hamilton theorem; Lyapunov systems; positivity; reachability; stability;
Conference_Titel :
EUROCON, 2007. The International Conference on "Computer as a Tool"
Conference_Location :
Warsaw
Print_ISBN :
978-1-4244-0813-9
Electronic_ISBN :
978-1-4244-0813-9
DOI :
10.1109/EURCON.2007.4400242
