Fixed‐time synchronization of stochastic complex networks with Markov jump and mixed delays via adaptive non‐chattering control

2021 ◽  
Author(s):  
Yu Liu ◽  
Ming Liu ◽  
Xiaofeng Xu
Keyword(s):  
Complex Networks ◽  
Time Synchronization ◽  
Fixed Time ◽  
Mixed Delays ◽  
Markov Jump ◽  
Stochastic Complex Networks

scholarly journals Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Lina Yu ◽  
Jingchao Zhang ◽  
Yunfei Ma ◽  
Xinhua Tan ◽  
Chunwei Wang
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Fixed Time ◽  
Functional Method ◽  
Markovian Switching ◽  
Complex Dynamical Networks ◽  
Linear Matrix ◽  
Mixed Delays ◽  
Dynamical Networks ◽  
Analysis Technique

This paper is concerned with the global finite-time and fixed-time synchronization for a class of discontinuous complex dynamical networks with semi-Markovian switching and mixed time-varying delays. The novel state-feedback controllers, which include integral terms and discontinuous facts, are designed to realize the global synchronization between the drive system and response system. By applying the Lyapunov functional method and matrix inequality analysis technique, the global finite-time and 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.

scholarly journals Fast fixed-time synchronization of T–S fuzzy complex networks

2021 ◽  
Vol 26 (4) ◽  
pp. 597-609
Author(s):  
Shuai Liu ◽  
Lingli Zhao ◽  
Wanli Zhang ◽  
Xinsong Yang ◽  
Fuad E. Alsaadi
Keyword(s):  
Complex Networks ◽  
Time Synchronization ◽  
Fuzzy Controller ◽  
Sufficient Conditions ◽  
Analytical Techniques ◽  
Fixed Time ◽  
Comparison System ◽  
Numerical Examples ◽  
Control Schemes ◽  
The Given

In this paper, fast fixed-time (FDT) synchronization of T–S fuzzy (TSF) complex networks (CNs) is considered. The given control schemes can make the CNs synchronize with the given isolated system more fleetly than the most of existing results. By constructing comparison system and applying new analytical techniques, sufficient conditions are established to derive fast FDT synchronization speedily. In order to give some comparisons, FDT synchronization of the considered CNs is also presented by designing FDT fuzzy controller. Numerical examples are given to illustrate our new results.

scholarly journals Fixed-Time Synchronization Control of Delayed Dynamical Complex Networks

Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1610
Author(s):  
Mei Liu ◽  
Binglong Lu ◽  
Zhanfeng Li ◽  
Haijun Jiang ◽  
Cheng Hu
Keyword(s):  
Complex Networks ◽  
Control Parameter ◽  
Time Synchronization ◽  
Adaptive Controller ◽  
Fixed Time ◽  
Synchronization Control ◽  
Delayed Neural Networks ◽  
Synchronization Problem ◽  
Delayed Dynamical Networks ◽  
Dynamical Complex Networks

Fixed-time synchronization problem for delayed dynamical complex networks is explored in this paper. Compared with some correspondingly existed results, a few new results are obtained to guarantee fixed-time synchronization of delayed dynamical networks model. Moreover, by designing adaptive controller and discontinuous feedback controller, fixed-time synchronization can be realized through regulating the main control parameter. Additionally, a new theorem for fixed-time synchronization is used to reduce the conservatism of the existing work in terms of conditions and the estimate of synchronization time. In particular, we obtain some fixed-time synchronization criteria for a type of coupled delayed neural networks. Finally, the analysis and comparison of the proposed controllers are given to demonstrate the validness of the derived results from one numerical example.

Fixed-time synchronization criteria for complex networks via quantized pinning control

2019 ◽  
Vol 91 ◽  
pp. 151-156 ◽  
Author(s):  
Wanli Zhang ◽  
Hongfei Li ◽  
Chuandong Li ◽  
Zunbin Li ◽  
Xinsong Yang
Keyword(s):  
Complex Networks ◽  
Time Synchronization ◽  
Pinning Control ◽  
Fixed Time

Finite-Time and Fixed-Time Synchronization of Complex Networks with Discontinuous Nodes via Quantized Control

2019 ◽  
Vol 50 (3) ◽  
pp. 2073-2086 ◽  
Author(s):  
Wanli Zhang ◽  
Shiju Yang ◽  
Chuandong Li ◽  
Zunbin Li
Keyword(s):  
Complex Networks ◽  
Finite Time ◽  
Time Synchronization ◽  
Fixed Time ◽  
Quantized Control
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