Title :
Positivity and stability of a class of fractional descriptor continuous-time nonlinear systems
Author :
Tadeusz Kaczorek
Author_Institution :
Bialystok University of Technology, Poland
Abstract :
The positivity and stability of a class of fractional descriptor continuous-time nonlinear systems is addressed by the use of the Weierstrass-Kronecker decomposition of the pencil of linear part of the nonlinear systems. Sufficient conditions for the positivity and stability are established. The considerations are illustrated by examples of fractional continuous-time descriptor nonlinear systems.
Keywords :
"Nonlinear systems","Stability analysis","Linear systems","Asymptotic stability","Sufficient conditions","Atmospheric modeling","Biological system modeling"
Conference_Titel :
Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
DOI :
10.1109/CDC.2015.7402685
