Stability Analysis Of Two-class Of Fractional Delay Neural Networks

This paper is based on two types of fractional-order neural networks model with time delay.The asymptotic stability of the Riemann-Liouville(R-L)fractional-order delayed neural networks is analyzed concretly by constructing Lyapunov functionals.Utilizing H¨older inequality,Cauchy-Schwarz inequality,and some inequality skills to analyse the finite time stability of fractional-order complex neural networks with distributed delays.1.For a type of R-L fractional-order delayed neural networks model,derived the asymptotic stability conditions in the sense of Lyapunov by constructing an appropriate functional,and used a matrix inequality to express the result.2.For fractional-order neural network system with distributed delays in complex valued environments.By Gronwall inequality,H¨older inequality,CauchySchwarz inequality and some inequality skills,analyzed the sufficiency of the finite time stability conditions of the system which is considered,the two cases0 < < 1/2 and 1/2 < 1 are discussed respectively and the proof is given.