Outer synchronization of complex networks with internal delay and coupling delay via aperiodically intermittent pinning control

Chuan Zhang (), Xingyuan Wang, Chunpeng Wang () and Zhiqiu Xia ()
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Chuan Zhang: Department of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning Province 116023, P. R. China
Xingyuan Wang: Department of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning Province 116023, P. R. China
Chunpeng Wang: Department of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning Province 116023, P. R. China
Zhiqiu Xia: Department of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning Province 116023, P. R. China

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 08, 1-18

Abstract: This paper concerns the outer synchronization problem between two complex delayed networks via the method of aperiodically intermittent pinning control. Apart from previous works, internal delay and coupling delay are both involved in this model, and the designed intermittent controllers can be aperiodic. The main work in this paper can be summarized as follows: First, two cases of aperiodically intermittent control with constant gain and adaptive gain are implemented, respectively. The intermittent control and pinning control are combined to reduce consumptions further. Then, based on the Lyapunov stability theory, synchronization protocols are given by strict derivation. Especially, the designed controllers are indeed simple and valid in application of theory to practice. Finally, numerical examples put the proposed control methods to the test.

Keywords: Synchronization; complex networks; internal delay; coupling delay; aperiodically intermittent control; pinning control (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S012918311750108X

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