Impulsive effect on fixed-time control for distributed delay uncertain static neural networks with leakage delay

Foued Miaadi and Xiaodi Li

Chaos, Solitons & Fractals, 2021, vol. 142, issue C

Abstract: In this paper, the problem of fixed-time stabilization (FXTSB) for an uncertain impulsive distributed delay static neural networks (UIDSNNs) with leakage delay is investigated. Firstly, a new memory controller distinct from the existing ones is build. Besides, by using new Lyapunov function which include a new vectorial function, some new criteria are established to deal with the impulsive effect on FXTSB of UIDSNNs with leakage. Under the proposed memory fixed-time controller, the average impulsive interval(AII)-dependent settling-time is established and the controller parameters can be expressed in the form of linear matrix inequalities (LMIs). Finally, some numerical examples with graphical illustrations are provided to demonstrate the effectiveness of our theoretical main results.

Keywords: Fixed time control; Static neural networks; Delayed systems; Leakage delay; Impulsive systems; Lyapunov theory; LMIs (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920307839

DOI: 10.1016/j.chaos.2020.110389

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