Abstract:In this paper, the pinning synchronization problem for the multi-layer networks with dynamic uncertainties is studied. The dynamical uncertainties can be approximated by a fuzzy logic system, based on which, the pinning synchronization scheme is proposed. By using Lyapunov stability theorem, the sufficient condition is given that can ensure that the multi-layer networks can synchronize to the reference trajectory with designed adaptive law. Finally, a numerical example is given to verify the effectiveness of t… Show more
The synchronization of multi‐layer networks can greatly improve production and life efficiency, thus having important research significance. In this article, the finite‐time pinning synchronization control strategy is investigated for multi‐layer networks. A new finite‐time pinning controller, which not only considers the intra‐layer coupling connection, but also the inter‐layer coupling connection, is designed. The pinning synchronization criteria for the multi‐layer networks is established based on the finite‐time control protocols. Additionally, the corresponding convergence analysis are also provided. Finally, the effectiveness of the obtained theoretical results is illustrated using three comparison methods in a two‐layer network.
The synchronization of multi‐layer networks can greatly improve production and life efficiency, thus having important research significance. In this article, the finite‐time pinning synchronization control strategy is investigated for multi‐layer networks. A new finite‐time pinning controller, which not only considers the intra‐layer coupling connection, but also the inter‐layer coupling connection, is designed. The pinning synchronization criteria for the multi‐layer networks is established based on the finite‐time control protocols. Additionally, the corresponding convergence analysis are also provided. Finally, the effectiveness of the obtained theoretical results is illustrated using three comparison methods in a two‐layer network.
This paper investigates the exponential quasi-synchronization problem of complex dynamical networks with switched coupling strengths. First, a generalized Halanay’s inequality has been established, which further extends the existing result in Mazenc et al. This inequality not only allows the gain to surpass the decay rate but also helps to cope with quasi-synchronization of complex dynamical networks with switched coupling strengths. Then, in virtue of the obtained inequality, Lyapunov function, and some other important inequalities, sufficient criteria ensuring the quasi-synchronization for the considered system are derived analytically. A numerical example is provided to verify the feasibility of the results.
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