A Brief Survey on Finite Time and Fixed Time Synchronization of Complex Dynamical Networks and its applications

2020 ◽  
Vol 66 (4) ◽  
pp. 149-171
Author(s):  
Anand K S ◽  
Padmanabhan S ◽  
Harish Babu G A ◽  
Brinda R
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Fixed Time ◽  
Complex Dynamical Networks ◽  
Dynamical 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 Finite-Time Synchronization of Complex Dynamical Networks with Nondelayed and Delayed Coupling by Continuous Function Controller

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Xie Chengrong ◽  
Xing Yu ◽  
Xia Qing ◽  
Dongbing Tong ◽  
Yuhua Xu
Keyword(s):  
Continuous Function ◽  
Numerical Simulations ◽  
Finite Time ◽  
Time Synchronization ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Delayed Coupling ◽  
Special Case

This paper investigates the finite-time synchronization of complex dynamical networks with nondelayed and delayed coupling. By designing a simple continuous function controller, sufficient criteria for finite-time synchronization of dynamical networks with nondelayed and delayed coupling are obtained. As a special case, the continuous function controller designed in this paper may be the simplest and easy to implement for the finite-time synchronization of dynamical networks without delay. Finally, numerical simulations are given to verify the effectiveness of the conclusions presented in this paper.

Finite-Time Synchronization of General Complex Dynamical Networks

2014 ◽  
Vol 17 (5) ◽  
pp. 1643-1653 ◽  
Author(s):  
Quanjun Wu ◽  
Hua Zhang ◽  
Li Xu ◽  
Qing Yan
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
General Complex
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