Prespecified-time bipartite synchronization of coupled reaction-diffusion memristive neural networks with competitive interactions

Autor: Ruoyu Wei, Jinde Cao
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 19, Iss 12, Pp 12814-12832 (2022)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2022598?viewType=HTML
Popis: In this paper, we investigate the prespecified-time bipartite synchronization (PTBS) of coupled reaction-diffusion memristive neural networks (CRDMNNs) with both competitive and cooperative interactions. Two types of bipartite synchronization are considered: leaderless PTBS and leader-following PTBS. With the help of a structural balance condition, the criteria for PTBS for CRDMNNs are derived by designing suitable Lyapunov functionals and novel control protocols. Different from the traditional finite-time or fixed-time synchronization, the settling time obtained in this paper is independent of control gains and initial values, which can be pre-set according to the task requirements. Lastly, numerical simulations are given to verify the obtained results.
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