Finite-time inner-outer synchronization of two dynamical networks via distributed pinning impulsive control

2020 ◽  
Author(s):  
Xinyi Chen ◽  
Xiaodong Lu ◽  
Haitao Li
Keyword(s):  
Finite Time ◽  
Impulsive Control ◽  
Dynamical Networks ◽  
Outer Synchronization ◽  
Pinning Impulsive Control

Pinning Impulsive Synchronization of Fractional Complex Dynamical Networks

2015 ◽  
Author(s):  
Weiyuan Ma ◽  
Changpin Li ◽  
Yujiang Wu
Keyword(s):  
Differential Equations ◽  
Comparison Principle ◽  
Impulsive Control ◽  
Impulsive Differential Equations ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Impulsive Synchronization ◽  
Pinning Impulsive Control

In this paper, a class of fractional complex dynamical networks is synchronized via pinning impulsive control. At first, a comparison principle is established for fractional impulsive differential equations. Then the synchronization criterion is obtained by using the derived comparison principle. Examples are given to illustrate the results.

scholarly journals Pinning-controlled synchronization of partially coupled dynamical networks via impulsive control

2022 ◽  
Vol 7 (1) ◽  
pp. 143-155
Author(s):  
Jin Cheng ◽  
Keyword(s):  
Nonlinear Systems ◽  
Communication Channel ◽  
Impulsive Control ◽  
Interval Method ◽  
Channel Matrix ◽  
Outer Synchronization ◽  
Response Systems ◽  
Average Impulsive Interval ◽  
Pinning Impulsive Control ◽  
Theoretical Results

<abstract><p>In this paper, global exponential outer synchronization of coupled nonlinear systems with general coupling matrices are investigated via pinning impulsive control. More realistic and more general partially coupled drive-response systems are established, where the completely communication channel matrix between coupled nodes may not be a permutation matrix. By using pinning impulsive strategy involving pinning ratio and our generalised lower average impulsive interval method, a number of novel and less restrictive synchronization criteria are proposed. In the end, a numerical example is constructed to indicate the effectiveness of our theoretical results.</p></abstract>

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