Frequency distributed model of Caputo derivatives and robust stability of a class of multi-variable fractional-order neural networks with uncertainties

This paper addresses the problems of the robust stability of a class of multi-variable fractional order neural networks with linear fractional uncertainties. Firstly, a continuous frequency distributed model of Caputo derivatives which extend the continuous frequency distributed model of the fractional integrator to Caputo derivatives is given. Then, a sufficient condition of robust stability for a class of multi-variable fractional order neural networks with linear fractional uncertainties is presented via the Lyapunov direct method and linear matrix inequality approach. Finally, two numerical examples are provided to demonstrate the effectiveness of the result.