On the study of neutral stochastic integro-differential neural networks with semi-Markovian jumps and random multi-delay in the past and present moments

Imzegouan C., Zouine A., Jabour A., Tunç C.

Nonlinear Studies, cilt.30, sa.3, ss.641-654, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 3
  • Basım Tarihi: 2023
  • Dergi Adı: Nonlinear Studies
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.641-654
  • Anahtar Kelimeler: Intergo-differential systems, Neural net-works, Neutral-type systems, pth-moment stability, Semi-Markov jumps, Time delay
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This work is devoted to study existence, uniqueness and exponential stability in pth-moment for solution of integro-differential neural networks system. Under global Lipschitz condi-tion, existence and uniqueness of solution for stochastic neutral-type integro-differential neural net-works with sem-Markovian switching and random time delay are shown. Basing on the Lyapunov-Krasovskii functional and stochastic analysis technique, exponential stability in the pth-moment and exponential stability in the mean square are established. A numerical example is given to illustrate the main proposed results.