Distributed Pinning Impulsive Control for Inner–Outer Synchronization of Dynamical Networks on Time Scales

2020 ◽  
Vol 51 (3) ◽  
pp. 2481-2495
Author(s):  
Xiaodong Lu ◽  
Haitao Li
Keyword(s):  
Time Scales ◽  
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>

scholarly journals PINNING IMPULSIVE STABILIZATION OF NONLINEAR DYNAMICAL NETWORKS WITH TIME-VARYING DELAY

2012 ◽  
Vol 22 (07) ◽  
pp. 1250176 ◽  
Author(s):  
JIANQUAN LU ◽  
ZIDONG WANG ◽  
JINDE CAO ◽  
DANIEL W.C. HO ◽  
JÜRGEN KURTHS
Keyword(s):  
Lyapunov Method ◽  
Impulsive Control ◽  
Time Varying ◽  
Impulsive Systems ◽  
Dynamical Networks ◽  
Nonlinear Dynamical ◽  
Time Varying Delay ◽  
Impulsive Control Strategy ◽  
Pinning Impulsive Control ◽  
Varying Delay

In this paper, a new impulsive control strategy, namely pinning impulsive control, is proposed for the stabilization problem of nonlinear dynamical networks with time-varying delay. In this strategy, only a small fraction of nodes is impulsively controlled to globally exponentially stabilize the whole dynamical network. By employing the Lyapunov method combined with the mathematical analysis approach as well as the comparison principle for impulsive systems, some criteria are obtained to guarantee the success of the global exponential stabilization process. The obtained criteria are closely related to the proportion of the controlled nodes, the impulsive strength, the impulsive interval and the time-delay. Numerical examples are given to demonstrate the effectiveness of the designed pinning impulsive controllers.

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