Research On Several Synchronization Problems Of Delayed Neural Network Systems

Neural network has wide application prospect in image processing and pattern recognition.In practical engineering application,the delay phenomenon will inevitably occur in the transmission and processing of signals.The existence of time delay will lead to the instability or chaos of the system.Synchronization,as a common problem in neural network research,has attracted the attention of many scholars.Based on the existing research,this paper will make a new exploration of the synchronization problem of time-delayed neural networks,and the specific work is as follows:(1)The issue of_?synchronization for neural networks with time-varying delays is studied.The aim is to design a resilient dynamic output feedback controller to ensure that the drive-response system achieves_?synchronization.By using Lyapunov functional method and some new inequalities,a delay-dependent criterion for_?synchronization is established.Then,with the help of some decoupling techniques,sufficient conditions on the existence of the resilient dynamic output feedback controller are developed for both the time-varying and constant time-delay cases.Finally,a numerical example is used to verify the effectiveness of the control strategy.(2)The problem of finite-time_?synchronization for semi-Markov jump neural network systems with time-varying delay and external disturbance is studied.The purpose of this work is to design a mode-dependent state-feedback controller to ensure that the drive-response system achieves finite-time_?synchronization.A criterion for the finite-time synchronization is proposed by using appropriate Lyapunov functional and two recently developed inequalities.Then,a design method for the required state-feedback controller is presented with the application of several decoupling techniques.Finally,an example is provided to illustrate the applicability of the proposed control method.(3)The issue of robust_?synchronization problem for time-delay neural networks with uncertain parameters is studied.The purpose of this work is to design a state-feedback controller to ensure that the drive-response system achieves robust_?synchronization.Firstly,by introducing a model transformation,the interval uncertainty is transformed into norm-bounded uncertainty.Subsequently,using Lyapunov functional method and some recent inequalities,a robust_?synchronization criterion is obtained.Then,combining Schur's complement lemma and some decoupling techniques,a control strategy is designed.Finally,an example is employed to illustrate the applicability of the proposed control method.