Finite-time synchronization of a class of nonlinear complex-valued networks with time-varying delays

Chuan Zhang, Xingyuan Wang, Salahuddin Unar and Yu Wang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 528, issue C

Abstract: This paper focuses on the problem of finite-time synchronization for a class of nonlinear complex-valued networks with time-varying delays. A novel model is proposed to generalize the previous works. The nonlinear couplings, time-varying node delay and multiple time-varying coupling delays are considered; all the variables and parameters in this model are considered as complex values. By decomposing the network model to real and imaginary parts, an equivalent real-valued system is built. Then, by utilizing the linear feedback controllers, synchronization is achieved in a given finite time rather than merely asymptotically synchronize. Based on the finite-time stability theory, Lyapunov functional method and some mathematical analysis techniques, sufficient conditions are strictly established to ensure the finite-time synchronization, the main results can be also extended to the networks without node delay or coupling delays. At last, examples are provided in details to demonstrate our results.

Keywords: Complex-valued network; Nonlinear coupling; Time-varying delay; Finite-time synchronization (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:528:y:2019:i:c:s037843711930593x

DOI: 10.1016/j.physa.2019.04.221

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