Behavior Analysis Of Uncertain Switched Neural Networks With Mixed Time-Varying Delays

As the neural network involves many disciplines,and its further research promote the development of other disciplines to a certain extent and then plays a catalytic role in the study of science and technology.Regardless of which type of dynamic system is being studied,Stability is one of the most basic questions people must consider.Because stability analysis is the necessary basis for designing a robust neural network system,the study of stability problems is more important for neural networks.Corresponding to several uncertain switched neural networks with mixed time-varying delay,we studied the stability problem and the lag synchronization problem respectively in this paper.The performance of several neural networks is discussed by using functional and neural network theory.The main work is as follows:Firstly,the correlation performance of uncertain non-switched neural networks with mixed time-varying delay is studied.By discussing the properties of general neural network as well as neutral neural network respectively,we provides a method of distinguishing between a stable subsystem and an unstable subsystem.This part is mainly prepared for the corresponding global exponential stability analysis.Secondly,we studied the stability of uncertain switched neural networks with mixed time-varying delay.Similarly,we analyze the general neural network and the neutral neural network stability problem.By construct the Lyapunov function properly and use the inequality of the scaling technique neatly,it is proved that the function we construct is positive definite,and then we can obtain the condition of the global exponential stability of the system.Finally,the inverse synchronization delay problem of uncertain switched systems with mixed time-varying delay is analyzed.By constructing the appropriate control system,the error equation of the master-slave system under the control system is obtained.The synchronization problem can be realized by analyzing the stability of the error system,and the prerequisite of the inverse-delay of the master-slave system is obtained.