Title :
Positive fractional nonlinear systems and their stability
Author :
Tadeusz Kaczorek
Author_Institution :
Faculty of Electrical Engineering, Bialystok University of Technology, Bialystok, Poland
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"
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on
DOI :
10.1109/MMAR.2015.7283892
