scholarly journals Adaptive-Impulsive Control of the Projective Synchronization in Drive-Response Complex Dynamical Networks with Time-Varying Coupling

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Song Zheng
Keyword(s):  
Impulsive Control ◽  
Sufficient Conditions ◽  
Complex Dynamical Networks ◽  
Projective Synchronization ◽  
Time Varying ◽  
Dynamical Networks ◽  
Adaptive Feedback ◽  
Hybrid Controller ◽  
The Stability ◽  
Response Complex

This paper investigates the projective synchronization (PS) of drive-response time-varying coupling complex dynamical networks with time delay via an adaptive-impulsive controlling method, in which the weights of links are time varying. Based on the stability analysis of impulsive control system, sufficient conditions for the PS are derived, and a hybrid controller, that is, an adaptive feedback controller with impulsive control effects, is designed. Numerical simulations are performed to verify the correctness and effectiveness of theoretical result.

scholarly journals Projective Synchronization Analysis of Drive-Response Coupled Dynamical Network with Multiple Time-Varying Delays via Impulsive Control

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Song Zheng
Keyword(s):  
Impulsive Control ◽  
Sufficient Conditions ◽  
Projective Synchronization ◽  
Multiple Time ◽  
Time Varying ◽  
Comparison Theory ◽  
Dynamical Network ◽  
Functional Differential ◽  
The Stability ◽  
System Nodes

The problem of projective synchronization of drive-response coupled dynamical network with delayed system nodes and multiple coupling time-varying delays is investigated. Some sufficient conditions are derived to ensure projective synchronization of drive-response coupled network under the impulsive controller by utilizing the stability analysis of the impulsive functional differential equation and comparison theory. Numerical simulations on coupled time delay Lorenz chaotic systems are exploited finally to illustrate the effectiveness of the obtained results.

The Projective Synchronization of Drive-Reponse Complex Dynamical Networks

2014 ◽  
Vol 687-691 ◽  
pp. 2458-2461
Author(s):  
Feng Ling Jia
Keyword(s):  
Differential Equations ◽  
Numerical Simulations ◽  
Fractional Order ◽  
Stability Theory ◽  
Complex Dynamical Networks ◽  
Projective Synchronization ◽  
Dynamical Networks ◽  
Fractional Order Differential Equations ◽  
The Stability ◽  
Response Complex

This paper investigates the projective synchronization of drive-response complex dynamical networks. Based on the stability theory for fractional-order differential equations, controllers are designed torealize the projective synchronization for complex dynamical networks. Morover, some simple synchronization conditions are proposed. Numerical simulations are presented to show the effectiveness of the proposed method.

scholarly journals Mean-Square Exponential Synchronization of Stochastic Complex Dynamical Networks with Switching Topology by Impulsive Control

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Xuefei Wu ◽  
Chen Xu
Keyword(s):  
Impulsive Control ◽  
Sufficient Conditions ◽  
Exponential Synchronization ◽  
Complex Dynamical Networks ◽  
Switching Topology ◽  
Linear Matrix ◽  
Mean Square ◽  
Dynamical Networks ◽  
The Mean ◽  
Networks With Switching Topology

This paper investigates the mean-square exponential synchronization issues of delayed stochastic complex dynamical networks with switching topology and impulsive control. By using the Lyapunov functional method, impulsive control theory, and linear matrix inequality (LMI) approaches, some sufficient conditions are derived to guarantee the mean-square exponential synchronization of delay complex dynamical network with switch topology, which are independent of the network size and switch topology. Numerical simulations are given to illustrate the effectiveness of the obtained results in the end.

scholarly journals Control of Synchronization and Stability for Nonlinear Complex Dynamical Networks with Different Dimensional Similar Nodes and Coupling Time-Varying Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Luo Yi-ping ◽  
Luo Xin ◽  
Deng Fei ◽  
Hu Jun-qiang
Keyword(s):  
Complex Dynamical Networks ◽  
Time Varying ◽  
Lyapunov Stability Theorem ◽  
Dynamical Networks ◽  
Time Varying Delay ◽  
Decentralized Controllers ◽  
Coupling Time ◽  
The Stability ◽  
Definition Of ◽  
Varying Delay

This paper discusses the stability and synchronization for the nonlinear coupled complex networks with different dimensional nodes, and the external coupling satisfies the condition of dissipation. The definition of synchronization of the complex dynamical networks is proposed as the manifold. By Lyapunov stability theorem, the decentralized controllers with similar parameters are designed to synchronize such dynamical networks asymptotically in which the characteristics are variable delayed. Finally, a numerical example is given to illustrate the effectiveness of the designed method.

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.

scholarly journals Generalized Outer Synchronization of Stochastic Neural Networks With Time-Varying Delays

2015 ◽  
Vol 0 (0) ◽  
Author(s):  
Ping He
Keyword(s):  
Neural Networks ◽  
Brownian Motion ◽  
Sufficient Conditions ◽  
Complex Dynamical Networks ◽  
Stochastic Neural Networks ◽  
Time Varying ◽  
Dynamical Networks ◽  
Outer Synchronization ◽  
Stochastic Disturbance ◽  
Stochastic Invariance

Abstract In this paper, generalized outer synchronization between two different stochastic coupled complex dynamical networks with time-varying delays has been investigated. A novel controller is given and the stochastic invariance principle is applied. A stochastic disturbance which is described in term of a Brownian motion are considered in complex dynamical networks. Moreover, some sufficient conditions are derived to ensure generalized outer synchronization of stochastic neural networks. Surprisingly, it is found that complex networks with different structure can be synchronized.

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