Anti-periodic solutions on Clifford-valued high-order Hopfield neural networks with multi-proportional delays

Luo, Demou; Jiang, Quande; Wang, Qiru

doi:10.1016/j.neucom.2021.11.001

Cited by 18 publications

(1 citation statement)

References 47 publications

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“…Up to the present, most of the characteristics of artificial NNs are first-order differential equations, some familiar NNs include the Cohen-Grossberg NNs [1][2][3][4], recurrent NNs [5][6][7], and Hopfield NNs [8][9][10][11]. Research on artificial NNs has been extensively concerned and achieved multitudinous results.…”

Section: Introductionmentioning

confidence: 99%

Laplace transform and nonlinear control design for quasi‐projective synchronization for Caputo inertial delayed neural networks

Zhang

Chen

et al. 2023

Math Methods in App Sciences

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The quasi‐projective synchronization problems for Caputo inertial neural networks (INNs) with delays are analyzed in this article. The considered model is transformed into two subsystems by selecting a suitable variable substitution. To realize synchronization, a novel fractional differential inequality is established, and the new lemma is derived via Laplace transform. Applying the given lemmas and inequality techniques, the synchronization conditions are inferred through different nonlinear feedback controllers. From the derivation of the theorems, it can be seen that the designed controllers are more extensive and efficacious. Furthermore, the error bound is validly estimated, and the validity of obtained theorems is illustrated by the numerical simulations.

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