Fixed/Preassigned-Time Synchronization of Complex Networks via Improving Fixed-Time Stability

被引：275
作者：
Hu, Cheng [1 ]
He, Haibo [2 ]
Jiang, Haijun [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Univ Rhode Isl, Dept Elect Comp & Biomed Engn, South Kingstown, RI 02881 USA
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2021年 / 51卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Synchronization; Stability criteria; Power system stability; Numerical stability; Asymptotic stability; Complex networks; Complex network; fixed-time (FXT) stability; FXT synchronization; preassigned-time (PAT) synchronization; NEURAL-NETWORKS; FINITE-TIME; STABILIZATION; CONVERGENCE; SYSTEMS; NODES;
D O I：
10.1109/TCYB.2020.2977934
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article is concerned with the problem of fixed-time (FXT) and preassigned-time (PAT) synchronization for discontinuous dynamic networks by improving FXT stability and developing simple control schemes. First, some more relaxed conditions for FXT stability are established and several more accurate estimates for the settling time (ST) are obtained by means of some special functions. Based on the improved FXT stability, FXT synchronization for discontinuous networks is discussed by designing a simple controller without a linear feedback term. Besides, the PAT synchronization is also explored by developing several nontrivial control protocols with finite control gains, where the synchronized time can be prespecified according to actual needs and is irrelevant with any initial value and any parameter. Finally, the improved FXT stability and the synchronization for complex networks are confirmed by two numerical examples.
引用
收藏
页码：2882 / 2892
页数：11
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