Finite-Time Stability Analysis of Fractional Order Delayed Memristive Neural Networks

In this paper, the finite-time stability analysis of non-autonomous and autonomous fractional order memristive systems with a pure time delay and commensurate order between 0 and 1 is proposed. First, two appropriate concepts of the finite-time stability for the mentioned system with and without external input are introduced. Then, a sufficient condition for finite-time stability of the underlying system is derived in the frame of some useful inequalities and appropriate properties of the norm. In particular, the results are presented in form of algebraic inequality, which turn out to be more efficient from the computational point of view. Finally, simulation results are given to testify the merits of the derived conditions.