Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with both leakage and time-varying delays

摘要

Finite-time stability of a class of fractional-order complex-valued memristor-based neural networks with both leakage and time-varying delays is investigated in this paper. By employing the set-valued map and differential inclusions, the solutions of memristor-based systems are intended in Filippov's sense. Via using Holder inequality, Gronwall-Bellman inequality and inequality scaling skills, sufficient conditions to guarantee the stability of the system are derived when 0 < alpha < 1/2 and 1/2 <= alpha <= 1, respectively. Finally, two numerical examples are designed to illustrate the validity and feasibility of the obtained results. (C) 2017 Elsevier B.V. All rights reserved.