Finite Time Stability Analysis of Fractional-Order Complex-Valued Memristive Neural Networks with Proportional Delays

Abstract

In this paper, finite time stability analysis of fractional-order complex-valued memristive neural networks with proportional delays is investigated. Under the framework of Filippov solution and differential inclusion theory, by using Holder inequality, Gronwall inequality and inequality scaling skills, some sufficient conditions are derived to ensure the finite-time stability of concerned fractional-order complex-valued memristive neural networks with fractional order alpha: 0 < alpha < 1/2 and 1/2 <= alpha < 1. In the end, two numerical examples are provided to illustrate the availability of the obtained results.