دورية أكاديمية

Synchronization of Clifford-valued neural networks with leakage, time-varying, and infinite distributed delays on time scales

التفاصيل البيبلوغرافية
العنوان: Synchronization of Clifford-valued neural networks with leakage, time-varying, and infinite distributed delays on time scales
المؤلفون: Călin-Adrian Popa
المصدر: AIMS Mathematics, Vol 9, Iss 7, Pp 18796-18823 (2024)
بيانات النشر: AIMS Press, 2024.
سنة النشر: 2024
المجموعة: LCC:Mathematics
مصطلحات موضوعية: clifford-valued neural networks (clvnns), synchronization analysis, time scales, time delays, infinite distributed delays, Mathematics, QA1-939
الوصف: Neural networks (NNs) with values in multidimensional domains have lately attracted the attention of researchers. Thus, complex-valued neural networks (CVNNs), quaternion-valued neural networks (QVNNs), and their generalization, Clifford-valued neural networks (ClVNNs) have been proposed in the last few years, and different dynamic properties were studied for them. On the other hand, time scale calculus has been proposed in order to jointly study the properties of continuous time and discrete time systems, or any hybrid combination between the two, and was also successfully applied to the domain of NNs. Finally, in real implementations of NNs, time delays occur inevitably. Taking all these facts into account, this paper discusses ClVNNs defined on time scales with leakage, time-varying delays, and infinite distributed delays, a type of delays which have been relatively rarely present in the existing literature. A state feedback control scheme and a generalization of the Halanay inequality for time scales are used in order to obtain sufficient conditions expressed as algebraic inequalities and as linear matrix inequalities (LMIs), using two general Lyapunov-like functions, for the exponential synchronization of the proposed model. Two numerical examples are given in order to illustrate the theoretical results.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2473-6988
العلاقة: https://doaj.org/toc/2473-6988Test
DOI: 10.3934/math.2024915?viewType=HTML
DOI: 10.3934/math.2024915
الوصول الحر: https://doaj.org/article/9b39f0c4cb984f1d91bf5fa7753ec0b7Test
رقم الانضمام: edsdoj.9b39f0c4cb984f1d91bf5fa7753ec0b7
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:24736988
DOI:10.3934/math.2024915?viewType=HTML