Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays

被引：54
作者：
Zhao, Wei [1 ]
Wu, Huaiqin [1 ]
机构：
[1] Yanshan Univ, Sch Sci, Qinhuangdao, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
关键词：
Fixed-time synchronization; Semi-Markovian jumping; Neural networks; Time-varying delay; SLIDING MODE CONTROL; FINITE-TIME; STATE ESTIMATION; SYSTEMS; STABILITY; DESIGN;
D O I：
10.1186/s13662-018-1666-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the global fixed-time synchronization issue for semi-Markovian jumping neural networks with time-varying delays. A novel state-feedback controller, which includes integral terms and time-varying delay terms, is designed to realize the fixed-time synchronization goal between the drive system and the response system. By applying the Lyapunov functional approach and matrix inequality analysis technique, the fixed-time synchronization conditions are addressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results.
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页数：21
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