Settling Time And Energy Consumption Estimation Of Finite/Fixed Time Synchronization Of Complex Valued Memristive Neural Networks

In theory,memristor was predicted by Professor Chua as the fourth kind of circuit component in 1971,and has achieved technological breakthroughs in recent years,attracting the attention of many scholars.Because the nonlinear characteristics match the response of biological brain neurons,the complex valued memristive neural network based on memristor has obvious advantages in information storage and processing.As an important research topic,the finite/fixed time synchronization settling time and energy consumption estimation of this neural network are worth studying.In this thesis,by constructing appropriate Lyapunov functions or Lyapunov functionals,using set-valued mapping theory,Differential inclusion theory,special matrices and some inequality techniques,combined with the state feedback control method,sufficient conditions are achieved to realize the synchronization of complex valued memristive neural network systems,and the problem of estimating the upper bound of the settling time and energy consumption for finite/fixed time synchronization are studied.In addition,based on the above achievements,further research is conducted on the settling time and energy consumption upper bound estimation of finite/fixed time synchronization of complex valued stochastic memristive neural networks.The specific content of this article is as follows:In the first chapter,firstly,the concept of memristor and its research significance and status are introduced.Secondly,the MNNs model is introduced.Finally,provide some theorems,lemmas,and assumptions that need to be used in this article.In Chapter 2,a new delayed complex valued memristive neural network(CVDMNNs)model is first proposed.Secondly,the settling time required for finite/fixed time synchronization of CVDMNNs under different control input conditions is analyzed.Through some inequality techniques,algebraic conditions for finite/fixed time synchronization of drive response systems are obtained,and the upper bounds of synchronization settling time under feedback control,switching control,and adaptive control inputs are estimated.Finally,give numerical simulations.Chapter 3 explores the energy consumption required for finite/fixed time synchronization of CVDMNNs under the control input situation in Chapter 2.By using some algebraic techniques,the upper bound estimations of energy consumption for finite/fixed time synchronization of the drive response system under feedback control and switching control inputs are obtained.Finally,numerical simulations are conductedIn Chapter 4,based on the previous two chapters’ research,CVDMNNs with random disturbances is considered,and the settling time and energy consumption of finite time synchronization under switching control inputs are studied.Upper bound estimates are provided using some algebraic and matrix techniques.Finally numerical simulations are conducted.Chapter 5 summarizes the entire article and looks forward to future research work.