Journal
COMPLEXITY
Volume 21, Issue S2, Pages 593-605Publisher
WILEY-HINDAWI
DOI: 10.1002/cplx.21837
Keywords
complex dynamical networks; outer synchronization; time-varying delay; adaptive intermittent control; pinning strategy; aperiodic
Funding
- National Science Foundation of China [11402100, 11331009]
- Tian Yuan Special Foundation [11326193]
- Natural Science Foundation of Jiangsu Province [BK20130535]
- Young Core Teachers Training Project of Jiangsu University
- Undergraduate Research Foundation of Jiangsu University [15A004]
- National Science Foundation of China
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This article is concerned with the problem of pinning outer synchronization between two complex delayed dynamical networks via adaptive intermittent control. At first, a general model of hybrid-coupled dynamical network with time-varying internal delay and time-varying coupling delay is given. Then, an aperiodically adaptive intermittent pinning-control strategy is introduced to drive two such delayed dynamical networks to achieve outer synchronization. Some sufficient conditions to guarantee global outer-synchronization are derived by constructing a novel piecewise Lyapunov function and utilizing stability analytical method. Moreover, a simple pinned-node selection scheme determining what kinds of nodes should be pinned first is provided. It is noted that the adaptive pinning control type is aperiodically intermittent, where both control period and control width are non-fixed. Finally, a numerical example is given to illustrate the validity of the theoretical results. (c) 2016 Wiley Periodicals, Inc. Complexity 21: 593-605, 2016
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