Fixed-time continuous stochastic synchronisation of two-layer dynamical networks

Fei Tan, Lili Zhou, Fei Yu and Junwei Lu

International Journal of Systems Science, 2020, vol. 51, issue 2, 242-257

Abstract: This paper sheds light on the problem of fixed-time continuous stochastic outer synchronisation for two-layer networks with different topologies, which can be undirected or directed. With the Lyapunov stability theory, several sufficient conditions are obtained. To guarantee the fixed-time continuous stochastic synchronisation of two-layer dynamic networks, the continuous chattering-free feedback controllers are designed. Finally, simulation examples are provided to illustrate the effectiveness of our results.

Date: 2020
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DOI: 10.1080/00207721.2019.1703057

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