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

摘要

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 H\(\ddot{o}\)lder 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 \(1/2\le \alpha <1\). In the end, two numerical examples are provided to illustrate the availability of the obtained results.