Title :
Stability of positive switched linear discrete-time systems with delays
Author :
Cimochowski, Robert
Author_Institution :
Fac. of Electr. Eng., Bialystok Univ. of Technol., Bialystok, Poland
Abstract :
The positive switched discrete-time linear systems are addressed. Simple new necessary and sufficient conditions for asymptotic stability of the positive linear discrete-time switched systems with delays in states are established. It is shown that asymptotic stability of the switched system is equivalent to asymptotic stability of the corresponding positive discrete-time switched system without delays. The considerations are illustrated by numerical examples.
Keywords :
asymptotic stability; delay systems; discrete time systems; linear systems; time-varying systems; asymptotic stability; delay; positive switched linear discrete-time system; Asymptotic stability; Delay; Linear systems; Stability analysis; Sufficient conditions; Switched systems; Switches;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2012 17th International Conference on
Conference_Location :
Miedzyzdrojie
Print_ISBN :
978-1-4673-2121-1
DOI :
10.1109/MMAR.2012.6347875