Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative

By Fengrong Zhang, Changpin Li, YangQuan Chen. 2011

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This paper deals with the stability of nonlinear fractional differential systems equipped with the Caputo derivative. At first, a sufficient condition on asymptotical stability is established by using a Lyapunov-like function. Then, the fractional differential inequalities and comparison method are applied to the analysis of the stability of fractional differential systems. In addition, some other sufficient conditions on stability are also presented.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/87295ce25fa93f718ef20b7134065c6b398afe49