DocumentCode
3663756
Title
Positive fractional nonlinear systems and their stability
Author
Tadeusz Kaczorek
Author_Institution
Faculty of Electrical Engineering, Bialystok University of Technology, Bialystok, Poland
fYear
2015
Firstpage
306
Lastpage
308
Abstract
The conditions for positivity and stability of a class of fractional nonlinear continuous-time systems are established. It is assumed that the nonlinear vector function is continuous, satisfies the Lipschitz condition and the linear part is described by a Metzler matrix. Using an extension of the Lyapunov method sufficient conditions for the stability are derived.
Keywords
"Linear systems","Nonlinear systems","Asymptotic stability","Stability analysis","Sufficient conditions","Numerical stability","Approximation methods"
Publisher
ieee
Conference_Titel
Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on
Type
conf
DOI
10.1109/MMAR.2015.7283892
Filename
7283892
Link To Document