Adaptive Impulsive Outer Synchronization Between Drive-Response Dynamical Networks

WU Zhao-Yan

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Communications in Theoretical Physics ›› 2014, Vol. 61 ›› Issue (05) : 590-594.

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Adaptive Impulsive Outer Synchronization Between Drive-Response Dynamical Networks

WU Zhao-Yan

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Abstract

In this paper, outer synchronization between drive-response dynamical networks is investigated. Impulsive control combining with adaptive strategy is adopted to design controllers for achieving the goal. Based on the Lyapunov function method and mathematical analysis technique, a synchronization criterion with respect to the impulsive gains and intervals is analytically derived. From the criterion, the impulsive gains can adjust themselves to proper values when the impulsive intervals and some constants are fixed, and vice versa. Finally, two numerical examples are provided to verify the effectiveness of the derived result.

Key words

outer synchronization / dynamical network / impulsive control

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WU Zhao-Yan. Adaptive Impulsive Outer Synchronization Between Drive-Response Dynamical Networks[J]. Communications in Theoretical Physics, 2014, 61(05): 590-594

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Funding

Supported by the Tianyuan Special Funds of the NSFC under Grant No. 11226242, and the Natural Science Foundation of Jiangxi Province of China under Grant Nos. 20122BAB211006 and 20132BAB201016