Estimate scheme for fractional order-dependent fixed-time synchronization on Caputo quaternion-valued BAM network systems with time-varying delays

Yu-hong, Cheng; Zhang, Hai; Stamova, Ivanka; Cao, Jinde

doi:10.1016/j.jfranklin.2022.10.055

Cited by 13 publications

(1 citation statement)

References 44 publications

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“…The choice of controller is closely related to the given model. Different from the adaptive controller [27,35], linear controller [30,31,34,36], and discontinuous controller [32,33,44], we design two different nonlinear controllers. From the proofs of Theorems 3.1 and 3.3, we can see that the selection of nonlinear controllers is more effective and extensive.…”

Section: Resultsmentioning

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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