Almost automorphic solutions for Clifford-valued neutral-type fuzzy cellular neural networks with leakage delays on time scales

Shen, Shiping

doi:10.1016/j.neucom.2020.07.035

Cited by 22 publications

(7 citation statements)

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“…In fact, in this case, x is a compact almost automorphic function because the necessary and sufficient condition for an almost automorphic function to be compact almost automorphic is that it is uniformly continuous. The similar conclusion on time scales is also obtained in [21]. But here we want to point out that Lemma 5 of [18] does not hold for the case of pseudo almost automorphic functions.…”

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confidence: 68%

Pseudo compact almost automorphy of neutral type Clifford-valued neural networks with mixed delays

2022

DCDS-B

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<p style='text-indent:20px;'>We consider a class of neutral type Clifford-valued cellular neural networks with discrete delays and infinitely distributed delays. Unlike most previous studies on Clifford-valued neural networks, we assume that the self feedback connection weights of the networks are Clifford numbers rather than real numbers. In order to study the existence of <inline-formula><tex-math id="M1">\begin{document}$ (\mu, \nu) $\end{document}</tex-math></inline-formula>-pseudo compact almost automorphic solutions of the networks, we prove a composition theorem of <inline-formula><tex-math id="M2">\begin{document}$ (\mu, \nu) $\end{document}</tex-math></inline-formula>-pseudo compact almost automorphic functions with varying deviating arguments. Based on this composition theorem and the fixed point theorem, we establish the existence and the uniqueness of <inline-formula><tex-math id="M3">\begin{document}$ (\mu, \nu) $\end{document}</tex-math></inline-formula>-pseudo compact almost automorphic solutions of the networks. Then, we investigate the global exponential stability of the solution by employing differential inequality techniques. Finally, we give an example to illustrate our theoretical finding. Our results obtained in this paper are completely new, even when the considered networks are degenerated into real-valued, complex-valued or quaternion-valued networks.</p>

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confidence: 68%

Pseudo compact almost automorphy of neutral type Clifford-valued neural networks with mixed delays

2022

DCDS-B

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“…Over the last few years, cellular neural networks (CNNs) proposed by Chua and Yang (1988) have received extensive attention and research in various fields (see Deng et al, 2021; Duan et al, 2019b; Li and Shen, 2020a). Also, in the realization of neural networks (NNs), the existence of uncertainty or ambiguity cannot be ignored.…”

Section: Introductionmentioning

confidence: 99%

Finite/fixed-time synchronization control of fuzzy inertial cellular neural networks with mixed delays

Yang

Zou

Liu

2023

Transactions of the Institute of Measurement and Control

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In this paper, the finite-time (FT) and fixed-time synchronization (F-TS) problems of fuzzy inertial cellular neural networks (FICNNs) with mixed delays are discussed based on the Filippov solution theory and FT stability theory. Compared with related research, this paper considers the fuzzy inertial system combined with discontinuous activation of cellular neural networks (CNNs) for the first time. Then, by choosing appropriate variable transformation, the original system can be rewritten as a first-order differential system. Some novel and useful sufficient conditions for finite/fixed-time synchronization of FICNNs are established by applying three suitable discontinuous state feedback controllers. Finally, three numerical simulations are presented to elaborate the validity of the proposed methods.

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“…Therefore, it is necessary to study the dynamics characteristics of neutral-type neural networks. At present, some progress has been made on the research of the dynamical behaviors for quaternion-valued neutral-type neural networks (QVNTNNs) [30][31][32][33][34]. For example, Li and Shen [32] have studied the dynamic behaviors of neutral-type fuzzy cellular neural networks model on the basis of time scales.…”

Section: Introductionmentioning

confidence: 99%

“…At present, some progress has been made on the research of the dynamical behaviors for quaternion-valued neutral-type neural networks (QVNTNNs) [30][31][32][33][34]. For example, Li and Shen [32] have studied the dynamic behaviors of neutral-type fuzzy cellular neural networks model on the basis of time scales. Li successfully explored the almost periodic solution of QVNTNNs through employing the methods such as fixed point theorem and other technologies in earlier studies [33,34].…”

Section: Introductionmentioning

confidence: 99%

Dissipativity for a class of quaternion‐valued memristor‐based neutral‐type neural networks with time‐varying delays

Shi

Chen

Zhu

2023

Math Methods in App Sciences

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In this work, the global dissipativity and exponential dissipativity of quaternion‐valued memristor‐based neutral‐type neural networks (QVNTMNNs) with time‐varying delays are studied. It is worth noting that the QVNTMNN is explored as a single entity without decomposition. Considering the QVNTMNNs as a switching system and utilizing Lyapunov theorem as well as inequality techniques, several sufficient criteria depending on the state‐dependent switching parameters to guarantee global dissipativity and exponential dissipativity of QVNTMNNs with time‐varying delays are obtained in the form of quaternion‐valued linear matrix inequalities (QVLMIs) and corresponding complex‐valued liner matrix inequalities (CVLMIs). Moreover, the positive invariant set, global attractive set, and exponential attractive set of QVNTMNNs with time‐varying delays can also be derived. Finally, two numerical examples are given to substantiate the reliability and validity of our theoretical criteria presented in this work.

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Almost automorphic solutions for Clifford-valued neutral-type fuzzy cellular neural networks with leakage delays on time scales

Cited by 22 publications

References 20 publications

Pseudo compact almost automorphy of neutral type Clifford-valued neural networks with mixed delays

Pseudo compact almost automorphy of neutral type Clifford-valued neural networks with mixed delays

Finite/fixed-time synchronization control of fuzzy inertial cellular neural networks with mixed delays

Dissipativity for a class of quaternion‐valued memristor‐based neutral‐type neural networks with time‐varying delays

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