Modified function projective synchronization between two different complex networks with delayed couplings and delayed nodes of different dimensions

Min Han, Yamei Zhang () and Meng Zhang ()
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Min Han: Department of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning Province 116023, P. R. China
Yamei Zhang: Department of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning Province 116023, P. R. China
Meng Zhang: 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), 2016, vol. 27, issue 11, 1-17

Abstract: In this paper, to deal with the problem of modified function projective synchronization (MFPS) between two different networks with delayed couplings and delayed nodes of different dimensions, a hybrid control scheme combining adaptive control and nonlinear control is proposed. First, a more realistic drive-response complex network model is constructed by introducing double delays. Then, we design hybrid feedback controllers to synchronize up the drive and response networks of different dimensions to a scaling function matrix. Based on Lyapunov stability theory and the linear matrix inequality (LMI), we rigorously prove that the MFPS between the proposed drive-response networks can be achieved and meanwhile some sufficient conditions are derived by adopting an appropriate Lyapunov–Krasovskii energy function. Noteably, many existing synchronization settings can be regarded as special cases of the present synchronization framework. Numerical simulation experiments are employed to verify the correctness and the effectiveness of the proposed method.

Keywords: Modified function projective synchronization; different complex networks; delays (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183116501266

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