General Decay Synchronization of Competitive Fuzzy Neural Networks Involving Time Delays and Right-Hand Discontinuous Activation  

作　　者：Mairemunisa Abudusaimaiti Abuduwali Abudukeremu Mairemunisa Abudusaimaiti;Abuduwali Abudukeremu(Modern Mathematics and Its Application Research Center, School of Mathematics and Statistics, Kashi University, Kashgar, China)

机构地区：[1]Modern Mathematics and Its Application Research Center, School of Mathematics and Statistics, Kashi University, Kashgar, China

出　　处：《Open Journal of Applied Sciences》2024年第11期3243-3260,共18页应用科学（英文）

摘　　要：This paper discusses the general decay synchronization problem for a class of fuzzy competitive neural networks with time-varying delays and discontinuous activation functions. Firstly, based on the concept of Filippov solutions for right-hand discontinuous systems, some sufficient conditions for general decay synchronization of the considered system are obtained via designing a nonlinear feedback controller and applying discontinuous differential equation theory, Lyapunov functional methods and some inequality techniques. Finally, one numerical example is given to verify the effectiveness of the proposed theoretical results. The general decay synchronization considered in this article can better estimate the convergence rate of the system, and the exponential synchronization and polynomial synchronization can be seen as its special cases.This paper discusses the general decay synchronization problem for a class of fuzzy competitive neural networks with time-varying delays and discontinuous activation functions. Firstly, based on the concept of Filippov solutions for right-hand discontinuous systems, some sufficient conditions for general decay synchronization of the considered system are obtained via designing a nonlinear feedback controller and applying discontinuous differential equation theory, Lyapunov functional methods and some inequality techniques. Finally, one numerical example is given to verify the effectiveness of the proposed theoretical results. The general decay synchronization considered in this article can better estimate the convergence rate of the system, and the exponential synchronization and polynomial synchronization can be seen as its special cases.

关 键 词：Competitive Neural Network FUZZY General Decay Synchronization Discontinuous Activation Function 

分 类 号：O17[理学—数学]