期刊
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE
卷 108, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.engappai.2021.104594
关键词
Delay intermittent control; Time-varying multi-weights network; Levy noise; Synchronization
类别
资金
- Natural Science Foundation of Shandong Province [ZR2021MF016, ZR2021MA065]
- Key Project of Science and Technology of Weihai [2014DXGJMS08]
- Innovation Technology Funding Project in Harbin Institute of Technology [HIT.NSRIF.201703]
This paper investigates stochastic Levy noise delayed systems on a time-varying multi-weights network (SLDSTN) for the first time. A novel delay intermittent control strategy is designed to solve the synchronization problem of SLDSTN. Sufficient conditions for exponential synchronization in mean square are proposed using Lyapunov method, graph theory, and inequalities techniques. Numerical simulations on a class of single-link robot arms demonstrate the effectiveness of the theoretical results.
In previous papers, either the time-varying coupling structure or multi-weights have been considered into networks. However, few scholars have paid attention to networks with both time-varying coupling structure and multi-weights. In this paper, we formulate and probe stochastic Levy noise delayed systems on a time-varying multi-weights network (SLDSTN) for the first time. In order to solve the synchronization problem of SLDSTN, we design a novel class of delay intermittent control. Different from previous intermittent control based on current state, delay intermittent control is based on past state. Then, by means of Lyapunov method, graph theory and some techniques of inequalities, sufficient conditions for exponential synchronization in mean square of SLDSTN are proposed. Therein, we relax the condition of processing the time-varying coupling term successfully. Furthermore, for presenting the superiorities of delay intermittent control, delay feedback control and aperiodically intermittent control also are applied to solve the synchronization problem of SLDSTN. To demonstrate the effectiveness of the theoretical results, a class of single-link robot arms is considered as a practical application. Finally, some numerical simulations are provided.
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