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Imzegouan, Chafai, Zouine, Aziz, Bouzahir, Hassane, Tunç, Cemil. (1401). Stability for neutral-type integro-differential neural networks with random switches in noise and delay. سامانه مدیریت نشریات علمی, 11(1), 65-80. doi: 10.22034/cmde.2022.49283.2056
Chafai Imzegouan; Aziz Zouine; Hassane Bouzahir; Cemil Tunç. "Stability for neutral-type integro-differential neural networks with random switches in noise and delay". سامانه مدیریت نشریات علمی, 11, 1, 1401, 65-80. doi: 10.22034/cmde.2022.49283.2056
Imzegouan, Chafai, Zouine, Aziz, Bouzahir, Hassane, Tunç, Cemil. (1401). 'Stability for neutral-type integro-differential neural networks with random switches in noise and delay', سامانه مدیریت نشریات علمی, 11(1), pp. 65-80. doi: 10.22034/cmde.2022.49283.2056
Imzegouan, Chafai, Zouine, Aziz, Bouzahir, Hassane, Tunç, Cemil. Stability for neutral-type integro-differential neural networks with random switches in noise and delay. سامانه مدیریت نشریات علمی, 1401; 11(1): 65-80. doi: 10.22034/cmde.2022.49283.2056

Stability for neutral-type integro-differential neural networks with random switches in noise and delay

Computational Methods for Differential Equations
مقاله 6، دوره 11، شماره 1، فروردین 2023، صفحه 65-80  XML اصل مقاله (530.95 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.49283.2056
نویسندگان
Chafai Imzegouan1؛ Aziz Zouine1؛ Hassane Bouzahir1؛ Cemil Tunç email orcid 2
1ISTI Lab‎, ‎ENSA PO Box 1136‎, ‎Ibn Zohr University‎, ‎Agadir‎, ‎Morocco.
2Department of Mathematics‎, ‎Faculty of Sciences‎, ‎Van Yuzuncu Yil University‎, ‎65080‎, ‎Van‎, ‎Turkey.
چکیده
This paper focuses on existence, uniqueness, and stability analysis of solutions for a new kind of delayed integro-differential neural networks with Markovian switches in delays and noises. The studied system combines many types of integro-differential neural network treatises in the literature. After having presented the studied system, the existence and uniqueness of solutions are shown under Lipschitz condition. By using the Lyapunov-Krasovskii functional, some stochastic analysis techniques and the M-matrix approach, stochastic stability, and general decay stability are established. Finally, a numerical example is given to validate the main established theoretical results.
کلیدواژه‌ها
Neural networks؛ Markovian jumps systems؛ Levy noise؛ Gaussian noise؛ Neutral-type systems؛ Time-varying delays؛ General decay stability
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