数学
控制理论(社会学)
功能分析
理论(学习稳定性)
控制(管理)
计算机科学
化学
生物化学
基因
机器学习
人工智能
作者
Fanchao Kong,Quanxin Zhu,Tingwen Huang
标识
DOI:10.1109/tcyb.2021.3128142
摘要
This article discusses the fixed-time stability (FTS) of a kind of delayed discontinuous system (DS) in Filippov sense. Based on the set-valued map, the FTS analysis of the general solution is first transformed into the zero solution of the differential inclusion. Second, the new criteria of the Lyapunov–Krasovskii functional (LKF) are given and LKF is proved to possess the indefinite derivatives by using the simple integral inequalities. In addition, the FTS of the considered delayed DS is achieved and the new settling time is estimated. Third, to demonstrate the applicability of the new FTS theorems, the FTS control of a class of discontinuous inertial neural networks (DINNs) with time-varying delays is solved. Finally, two numerical examples are given to examine the theoretical results and simulations are also provided to make some illustrations.
科研通智能强力驱动
Strongly Powered by AbleSci AI