Robust outer synchronization between two nonlinear complex networks with parametric disturbances and mixed time-varying delays

Chuan Zhang, Xingyuan Wang, Chao Luo, Junqiu Li and Chunpeng Wang

Physica A: Statistical Mechanics and its Applications, 2018, vol. 494, issue C, 251-264

Abstract: In this paper, we focus on the robust outer synchronization problem between two nonlinear complex networks with parametric disturbances and mixed time-varying delays. Firstly, a general complex network model is proposed. Besides the nonlinear couplings, the network model in this paper can possess parametric disturbances, internal time-varying delay, discrete time-varying delay and distributed time-varying delay. Then, according to the robust control strategy, linear matrix inequality and Lyapunov stability theory, several outer synchronization protocols are strictly derived. Simple linear matrix controllers are designed to driver the response network synchronize to the drive network. Additionally, our results can be applied on the complex networks without parametric disturbances. Finally, by utilizing the delayed Lorenz chaotic system as the dynamics of all nodes, simulation examples are given to demonstrate the effectiveness of our theoretical results.

Keywords: Robust synchronization; Complex networks; Parametric disturbances; Mixed time-varying delays; Linear matrix control (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:494:y:2018:i:c:p:251-264

DOI: 10.1016/j.physa.2017.12.047

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