Fixed-Time Control and Estimation of Discontinuous Fuzzy Neural Networks: Novel Lyapunov Method of Fixed-Time Stability

被引：2
作者：
Cai, Zuowei [1 ]
Huang, Lihong [2 ]
Wang, Zengyun [3 ]
机构：
[1] Hunan Womens Univ, Sch Informat, Changsha 410004, Peoples R China
[2] Changsha Univ, Coll Math, Changsha 410022, Peoples R China
[3] Hunan First Normal Univ, Coll Math, Changsha 410205, Peoples R China
来源：
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2024年 / 35卷 / 11期
关键词：
Synchronization; Fuzzy neural networks; Estimation; Lyapunov methods; Fuzzy control; Time-varying systems; Stability criteria; Discontinuous system; fixed-time (FXT) synchronization; fixed-time stability (FXTS); fuzzy neural networks (FNNs); settling time (SET); TO-STATE STABILITY; FINITE-TIME; SYNCHRONIZATION CONTROL; DIFFERENTIAL-EQUATIONS; DYNAMICAL-SYSTEMS; STABILIZATION; CONVERGENCE;
D O I：
10.1109/TNNLS.2023.3296881
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This article considers the fixed-time stability (FXTS) issue for discontinuous system described by differential equation (DE) with time-varying parameters. Using the tool of differential inclusion (DI), several improved FXTS criteria and estimation formulas of settling time (SET) are derived by employing a relaxed Lyapunov method. The special novelty of the developed Lyapunov method is that the derivative of Lyapunov function possesses indefiniteness. As an important application, the established FXTS theorems are utilized to deal with fixed-time (FXT) synchronization issue for fuzzy neural networks (FNNs) possessing state discontinuity, where the fuzzy operation is used in the synaptic law computing, and one typical time-varying switching control protocol is designed. Moreover, a series of estimations of SET for FXT synchronization are given out. Finally, the simulation examples are present to substantiate the validity of the obtained results.
引用
收藏
页码：16616 / 16629
页数：14
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