Novel order-dependent passivity conditions of fractional generalized Cohen–Grossberg neural networks with proportional delays

Zhang, Hai; Wang, Chen; Ye, Renyu; Stamova, Ivanka; Cao, Jinde

doi:10.1016/j.cnsns.2023.107155

Cited by 16 publications

(1 citation statement)

References 45 publications

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“…Remark Different from the contraction mapping principle [15], homeomorphism principle [18], linear matrix inequality (LMI) [19, 45], and graph‐theoretic method [27], we derive the QPS criteria of Caputo INNs with delays through appropriate variable substitution. Compared with the article [38], the control strategy here is considered in the response system after conversion, which has mathematical significance.…”

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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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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Novel Caputo fractional differential approach and hybrid control scheme for finite‐time synchronization of nonidentical delayed reaction–diffusion neural networks

Zhang,

Wang,

et al. 2024

Asian Journal of Control

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This work focuses on the finite‐time synchronization (F‐TS) for nonidentical delayed neural networks (DNNs) including Caputo fractional partial differential operator and reaction–diffusion terms. A novel F‐TS lemma is proposed by constructing a new Caputo differential inequality. Applying the new lemma and designing two hybrid controllers with time delay and the sign function, the F‐TS criteria on the introduced Caputo reaction–diffusion nonidentical DNNs under the Neumann boundary condition are derived by making use of the Filippov differential inclusion, Green's theorem, and fractional Razumikhin theorem. The conditions are expressed through the algebraic inequality which can greatly decrease the computation in checking the F‐TS performance. Moreover, the validity and correctness of the F‐TS results are illustrated by selecting various orders, spatial positions, and diffusion parameters.

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Quasi-projective Synchronization Analysis of Delayed Caputo-Type BAM Neural Networks in the Complex Field

Chen

Zhang

et al. 2023

Neural Process Lett

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Novel order-dependent passivity conditions of fractional generalized Cohen–Grossberg neural networks with proportional delays

Cited by 16 publications

References 45 publications

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

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

Novel Caputo fractional differential approach and hybrid control scheme for finite‐time synchronization of nonidentical delayed reaction–diffusion neural networks

Quasi-projective Synchronization Analysis of Delayed Caputo-Type BAM Neural Networks in the Complex Field

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