Adaptive-impulsive control for projective synchronization in the drive-response complex network with time-varying coupling

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.

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

Abstract and Applied Analysis ◽

10.1155/2014/581971 ◽

2014 ◽

Vol 2014 ◽

pp. 1-10 ◽

Cited By ~ 3

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.

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Projective synchronization with different scale factors in a driven–response complex network and its application in image encryption

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2009.11.003 ◽

2010 ◽

Vol 11 (4) ◽

pp. 3045-3058 ◽

Cited By ~ 59

Author(s):

Jianrui Chen ◽

Licheng Jiao ◽

Jianshe Wu ◽

Xiaodong Wang

Keyword(s):

Complex Network ◽

Image Encryption ◽

Projective Synchronization ◽

Scale Factors ◽

Response Complex

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Exponential synchronization of time-varying delays and non-delay coupled dynamical complex network via impulsive control

The 27th Chinese Control and Decision Conference (2015 CCDC) ◽

10.1109/ccdc.2015.7162573 ◽

2015 ◽

Author(s):

Fenfen Yu ◽

Jianwen Feng ◽

Yi Zhao

Keyword(s):

Complex Network ◽

Impulsive Control ◽

Exponential Synchronization ◽

Time Varying

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Weak Projective Synchronization in Drive-Response Dynamical Networks with Time-Varying Delay and Parameter Mismatch

Journal of Applied Mathematics ◽

10.1155/2014/356924 ◽

2014 ◽

Vol 2014 ◽

pp. 1-8 ◽

Cited By ~ 1

Author(s):

Jiang Xu ◽

Song Zheng

Keyword(s):

Impulsive Control ◽

Functional Differential Equations ◽

Projective Synchronization ◽

Time Varying ◽

Error Level ◽

Parameter Mismatch ◽

Dynamical Networks ◽

Time Varying Delay ◽

Functional Differential ◽

Varying Delay

This paper investigates the problem of projective synchronization in drive-response dynamical networks (DRDNs) with time-varying delay and parameter mismatch via impulsive control. Owing to projective factor and parameter mismatch, complete projective synchronization cannot be achieved. Therefore, a weak projective synchronization scheme is proposed to ensure that the DRDNs are in a state of synchronization with an error level. Based on the stability analysis of the impulsive functional differential equations, a general method of the weak projective synchronization with the error level is derived in DRDNs. Numerical simulations are provided to verify the correctness and effectiveness of the proposed method and results.

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