Title :
Stability of positive fractional 2D linear systems with delays
Author :
Kaczorek, Tadeusz
Author_Institution :
Fac. of Electr. Eng., Bialystok Tech. Univ., Bialystok, Poland
fDate :
June 29 2009-July 1 2009
Abstract :
A new concept of the practical stability of the positive fractional 2D linear systems is proposed. Necessary and sufficient conditions for the practical stability and the asymptotic stability of the positive fractional 2D systems are established. It is shown that the checking of the practical stability and the asymptotic stability of positive fractional 2D linear systems can be reduced to testing the stability of corresponding 1D positive linear systems.
Keywords :
asymptotic stability; delays; linear systems; multidimensional systems; 1D positive linear system; asymptotic stability; delay; positive fractional 2D linear system; practical stability; Asymptotic stability; Atmospheric modeling; Biological system modeling; Delay lines; Delay systems; Linear systems; Robust stability; Sufficient conditions; Thermal pollution; Water storage;
Conference_Titel :
Multidimensional (nD) Systems, 2009. nDS 2009. International Workshop on
Conference_Location :
Thessaloniki
Print_ISBN :
978-1-4244-2797-0
Electronic_ISBN :
978-1-4244-2798-7
DOI :
10.1109/NDS.2009.5196162
