Pinning synchronization of delayed dynamical networks via periodically intermittent control

2009 ◽  
Vol 19 (1) ◽  
pp. 013120 ◽  
Author(s):  
Weiguo Xia ◽  
Jinde Cao
Keyword(s):  
Intermittent Control ◽  
Dynamical Networks ◽  
Periodically Intermittent Control ◽  
Delayed Dynamical Networks

scholarly journals Pinning Adaptive Synchronization of Delayed Coupled Dynamical Networks via Periodically Intermittent Control

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Xueliang Liu ◽  
Shengbing Xu
Keyword(s):  
Lyapunov Method ◽  
Sufficient Conditions ◽  
Exponential Synchronization ◽  
Adaptive Synchronization ◽  
Intermittent Control ◽  
Dynamical Networks ◽  
Adaptive Feedback ◽  
Periodically Intermittent Control ◽  
Synchronization Problem ◽  
Theoretical Results

This paper investigates the exponential synchronization problem of delayed coupled dynamical networks by using adaptive pinning periodically intermittent control. Based on the Lyapunov method, by designing adaptive feedback controller, some sufficient conditions are presented to ensure the exponential synchronization of coupled dynamical networks with delayed coupling. Furthermore, a numerical example is given to demonstrate the validity of the theoretical results.

scholarly journals Semiglobal Finite-Time Synchronization of Complex Dynamical Networks via Periodically Intermittent Control

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Yihan Fan ◽  
Hongmei Liu ◽  
Jun Mei
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Complex Dynamical Networks ◽  
Linear Matrix ◽  
Intermittent Control ◽  
Dynamical Networks ◽  
Periodically Intermittent Control ◽  
Finite Time Stability ◽  
Synchronization Problem ◽  
Theoretical Results

This paper studies the finite-time synchronization problem for a class of complex dynamical networks by means of periodically intermittent control. Based on some analysis techniques and finite-time stability theory, some novel and effective finite-time synchronization criteria are given in terms of a set of linear matrix inequalities. Particularly, the previous synchronization problem by using periodically intermittent control has been extended in this paper. Finally, numerical simulations are presented to verify the theoretical results.

scholarly journals Pinning Controllability Scheme of Directed Complex Delayed Dynamical Networks via Periodically Intermittent Control

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Shaolin Li ◽  
Jinde Cao ◽  
Yinghui He
Keyword(s):  
Theoretical Analysis ◽  
Coupling Strength ◽  
Pinning Control ◽  
Directed Network ◽  
Intermittent Control ◽  
Constraint Condition ◽  
Dynamical Networks ◽  
Control Scheme ◽  
Low Dimensional ◽  
Delayed Dynamical Networks

This paper studies the pinning controllability of directed complex delayed dynamical networks by using periodic intermittent control scheme. The general and low-dimensional pinning synchronization criteria are derived to illustrate the design of periodic intermittent control scheme. According to our low-dimensional pinning criterion, especially, the constraint condition of coupling strength is obtained when the network structure and amounts of pinned nodes are fixed. An algorithm is presented to determine the amounts of periodically intermittent controllers and locate these intermittent controllers in a directed network, in which the significance of nodes out- (in-) degree in pinning control of complex network is also illustrated. Finally, a directed network consisting of 12 coupled delayed Chua oscillators is designed as numerical example to verify the effectiveness of the theoretical analysis.

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