Title of article :
Stability criterion for a class of nonlinear fractional differential systems
Author/Authors :
Zhou، نويسنده , , Xian-Feng and Hu، نويسنده , , Liang-Gen and Liu، نويسنده , , Song and Jiang، نويسنده , , Wei، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2014
Abstract :
Stability analysis of nonlinear fractional differential systems has been an open problem since the 1990s of the last century. Apparently, Lyapunov’s second method seems to be invalid for nonlinear fractional differential systems (equations). In this paper, we are concerned with this open problem and have solved it partly. Based on Lyapunov’s second method, a novel stability criterion for a class of nonlinear fractional differential system is derived. Our result is simple, global and theoretically rigorous. The conditions to guarantee the stability of the nonlinear fractional differential system are convenient for testing. Compared with the stability criteria in the literature, our criterion is straightforward and suitable for application. Several examples are provided to illustrate the applications of our result.
Keywords :
Fractional , stability , Nonlinear
Journal title :
Applied Mathematics Letters
Journal title :
Applied Mathematics Letters