微分包含
李雅普诺夫函数
控制理论(社会学)
数学
固定点
同步(交流)
间断(语言学)
人工神经网络
计算机科学
数学优化
控制(管理)
拓扑(电路)
非线性系统
人工智能
数学分析
物理
组合数学
量子力学
作者
Zhiping Cai,Lihong Huang,Zengyun Wang
出处
期刊:IEEE transactions on neural networks and learning systems
[Institute of Electrical and Electronics Engineers]
日期:2023-01-01
卷期号:: 1-14
标识
DOI:10.1109/tnnls.2023.3296881
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.
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