Quasi-uniform Synchronization And Projective Synchronization Of Fractional-order Neural Networks

In this paper,the fractional order neural network model based on sliding mod-e control and the fractional order neural network model with mixed delays are dis-cussed.Firstly,the quasi-uniform synchronization between the driving system and the response system of the fractional order neural network based on sliding mode control is considered.In order to ensure the quasi-uniform synchronization of the fractional-order neural network synchronization error system,some sufficient criteria for quasi-uniform synchronization of the fractional-order neural network based on s-liding mode control is derived by using integral equation,sliding mode control strategy and inequality techniques.A simulation example is given to testify the effectiveness of the results.Then the finite-time projective synchronization of fractional-order neural networks with mixed delays is discussed.In order to ensure the finite-time projec-tive synchronization of fractional order neural networks with mixed delays,two suf-ficient criteria under the conditions of (?) are obtained by using Volterra-integral equation,H(?)lder inequality,Gronwall inequality and Cachey-Schwartz inequality.Finally,numerical examples are given to illustrate the feasibility of the results.