Cluster stochastic synchronization of complex dynamical networks via fixed-time control scheme

2020 ◽  
Vol 124 ◽  
pp. 12-19 ◽  
Author(s):  
Wanli Zhang ◽  
Chuandong Li ◽  
Hongfei Li ◽  
Xinsong Yang
Keyword(s):  
Fixed Time ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Stochastic Synchronization ◽  
Time Control ◽  
Control Scheme

scholarly journals Adaptive Fixed-Time Sliding Mode Control for Uncertain Twin-Rotor System with Experimental Validation

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Linwu Shen ◽  
Qiang Chen ◽  
Meiling Tao ◽  
Xiongxiong He
Keyword(s):  
Sliding Mode ◽  
Setting Time ◽  
Tracking Error ◽  
Fixed Time ◽  
External Disturbances ◽  
Rotor Systems ◽  
Time Control ◽  
Control Scheme ◽  
Comparative Results ◽  
Twin Rotor

This paper proposes an adaptive fixed-time control scheme for twin-rotor systems subject to the inertia uncertainties and external disturbances. First of all, a fixed-time sliding mode surface is constructed and the corresponding controller is developed such that the fixed-time uniform ultimate boundedness of the sliding variable and tracking error could be guaranteed simultaneously, and the setting time is independent of the initial values. The adaptive update laws are developed to estimate the upper bounds of the lumped uncertainties and external disturbances such that no prior knowledge on the system uncertainties and disturbances is required. Finally, a twin-rotor platform is constructed to verify the effectiveness of proposed scheme. Comparative results show better position tracking performance of the proposed control scheme.

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.

Function Projective Synchronization in Complex Dynamical Networks

2014 ◽  
Vol 926-930 ◽  
pp. 1939-1942 ◽  
Author(s):  
Feng Ling Jia
Keyword(s):  
Numerical Simulations ◽  
Stability Theory ◽  
Complex Dynamical Networks ◽  
Projective Synchronization ◽  
Effective Control ◽  
Dynamical Networks ◽  
Function Projective Synchronization ◽  
Fractional Order Differential Equations ◽  
Control Scheme ◽  
The Stability

In this paper, the function projective synchronization of complex dynamical networks is investigated. Based on the stability theory for fractional-order differential equations, an effective control scheme is proposed to achieve function projective synchronization for complex dynamical networks. Corresponding numerical simulations are presented to show the effectiveness of the proposed synchronization criteria.

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