Finite-time Stability of Fractional-order Complex-valued Neural Networks with Time Delays

Abstract

The analysis of finite-time stability for a class of fractional-order complex valued neural networks with delays is considered in this paper. Utilizing Gronwall inequality, Cauchy-Schiwartz inequality and inequality scaling techniques, some sufficient conditions for guaranteeing the finite-time stability of the system are derived respectively under two cases with order $$1/2\le \alpha < 1$$ and $$0<\alpha <1/2$$ , in which different inequality scaling strategies are employed. Two numerical examples are also proposed to demonstrate the validity and feasibility of the obtained results.