Synchronization And Synchronous Control Of Delayed Driven-Response Networks

Complex networks are widely used in pattern recognition,image processing,artificial intelligence,signal processing and other fields.There are lots of synchronization problems of the driven-response network for complex networks.Many functions of complex networks cannot be realized without synchronization.Therefore,the synchronization control problem discussed in this paper has some theoretical value and practical significance.In this paper,we discussed several synchronization control analysis of time-delay driven-response networks.(1)Synchronization of complex networks with proportional delays and nonlinear coupling issues is discussed.Based on the time variable substitution,Lyapunov functionals and the method of inequality analysis techniques,we obtain the sufficient condition of network stability,it can be seen as the promotion of literature[17] on proportion delay.(2)Synchronization of static neural networks with proportional delays issue is discussed.By constructing Lyapunov functionals and using the method of inequality analysis techniques,we get the exponential synchronization conditions of the driven-response network.The results of coupling control problem can be viewed as a extension of static neural network the proportion of time-delay circumstances.(3)Lag quasi-synchronization of master-slave systems subject to coupling saturation issue is discussed.Due to lyapunov functionals,matrix measure and inequality analysis techniques,we obtain the conditions of system synchronization.It can be seen as the improvement of lag quasi-synchronization problem of two coupled systems in parameter mismatch cases.By means of designing coupling matrix,we deal with the system synchronization problems and the results will not be too conservative.