Finite-time stability of fractional delayed neural networks

In this paper, finite-time stability of a class of fractional delayed neural networks of retarded-type with commensurate order between 0 and 1 is investigated. For such problems in integer-order systems, Lyapunov functions are usually constructed, whereas no specific Lyapunov functions exist in fractional-order cases. By employing inequalities such as Hölder inequality, Gronwall inequalities and inequality scaling skills, some finite-time stability results are derived. For fractional delayed neural models of retarded-type with order 0<α<0.50<α<0.5 and 0.5≤α<10.5≤α<1, sufficient conditions for the finite-time stability are presented. Numerical simulations also verify the theoretical results.