Dynamic Analysis Of Neutral-Type Inertial Neural Networks

Based on Lyapunov functional method,fuzzy theory and inequality,the neutral type inertial neural networks(NTINNs)with mixed time-varying delays,the neutral type BAM inertial neural networks(NT-BAMINNs)with mixed time-varying delays and fuzzy neutral type inertial neural networks(FNTINNs)with time-varying coefficients and proportional time delay are studied by means of Lyapunov functional method,fuzzy theory and inequality.For these three models,we mainly discuss the Lagrange global exponential stability,dissipation and finite time synchronization problems of these systems.The full text is divided into five chapters.The main contents are as follows:The Chapter 1 is the introduction part,which mainly summarizes the research status of inertial neural networks(INNs)and neutral type neural networks(NTNNs),and gives some unified marks for the well-knit and readability of the article.In the Chapter 2,the Lagrange global exponential stability problem for a class of NTINNs with mixed time-varying delays is analyzed.By appropriate variable substitution and application of inequality techniques,analytical methods and Lyapunov functional methods,we obtain several sufficient criteria for global Lagrange exponent stability of the system and derive the global exponential attracting sets of the system.The Chapter 3 gives a new definition of global dissipation.At the same time,based on the previous research,a new integral inequality is established.By selecting appropriate variables substitution and constructing the appropriate Lyapunov functional,the global dissipative of a class of NT-BAMINNs with mixed time-varying delays are studied under the condition that the activation functions satisfy two assumptions respectively.At the same time,the algebra and linear matrix inequalities condition of system dissipation are given.The Chapter 4 introduces the fuzzy term in INNs,and establishes a novel FNTINNs with proportional delay.The finite time synchronization problem of the system is discussed by designing two different types of controllers.At the same time,some new time delay-independent algebraic inequality criteria are given,and the minimum time for the drive system and response system to reach synchronization is derived.The Chapter 5 briefly summarizes the main work and innovations of this paper,and makes a prospect and plan for the next research.