New study on fixed-time synchronization control of delayed inertial memristive neural networks

Shiyu Dong, Hong Zhu, Shouming Zhong, Kaibo Shi and Yajuan Liu

Applied Mathematics and Computation, 2021, vol. 399, issue C

Abstract: The problem of fixed-time synchronization (FTS) control for memristive neural networks (MNNs) with discrete timedelay and inertia term is investigated in this work. Firstly, delayed inertial memristive neural networks (DIMNNs) are characterized as the differential equations, which is second-order and has discontinuous right-hand side. Secondly, a suitable two-parameter variable substitution method is advocated for the second-order derivatives of states, and then DIMNNs can be represented in the shape of first-order differential equation. Thirdly, a new fixed-time criterion and FTS of DIMNNs are achieved under the designed feedback controller in the light of comparison lemma and inequality techniques. Meanwhile, the settling-time (ST) of FTS is estimated, it could be adjusted to arbitrary expected values by controller parameters without relying on the initial conditions and also fully reflects that a tighter ST value is obtained. Finally, the effectiveness of the brought forward theoretical results is testified via a numerical simulation.

Keywords: Fixed-time synchronization; Memristive neural networks; Inertial terms; Discontinuous control (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:399:y:2021:i:c:s0096300321000837

DOI: 10.1016/j.amc.2021.126035

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