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

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

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.

Suggested Citation

  • Dong, Shiyu & Zhu, Hong & Zhong, Shouming & Shi, Kaibo & Liu, Yajuan, 2021. "New study on fixed-time synchronization control of delayed inertial memristive neural networks," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    • Handle: RePEc:eee:apmaco:v:399:y:2021:i:c:s0096300321000837
    DOI: 10.1016/j.amc.2021.126035
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    Cited by:

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    2. Liu, Yun & Heidari, Ali Asghar & Ye, Xiaojia & Liang, Guoxi & Chen, Huiling & He, Caitou, 2021. "Boosting slime mould algorithm for parameter identification of photovoltaic models," Energy, Elsevier, vol. 234(C).
    3. Fan, Yi & Wang, Pengjun & Heidari, Ali Asghar & Chen, Huiling & HamzaTurabieh, & Mafarja, Majdi, 2022. "Random reselection particle swarm optimization for optimal design of solar photovoltaic modules," Energy, Elsevier, vol. 239(PA).
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    5. Gao, Shang & Peng, Keyu & Zhang, Chunrui, 2021. "Existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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