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 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.