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Author:

Zhao, Ningning (Zhao, Ningning.) | Qiao, Yuanhua (Qiao, Yuanhua.) (Scholars:乔元华)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, a type of delayed Clifford-valued memristor-based neural networks (CLVMNNs) with impulsive disturbances is established, and the global exponential stability is investigated by using generalized norm. Firstly, the n-dimensional Clifford-valued systems are decomposed into 2(m) n-dimensional real-valued systems to address the non-commutativity problem of the multiplication of Clifford numbers. Secondly, the generalized infinity-norm and 1-norm are introduced to induce the global exponential stability for CLVMNNs, and two special Lyapunov functionals are established to prove the stability. Thirdly, the strict assumption of the boundedness of activation function in previous research is loosened, and some less conservative conditions of stability are obtained based on the constructed Lyapunov functionals. Finally, the theoretical results are verified by two numerical simulations, and an image encryption scheme is proposed to show the application in real world situation based on the delayed CLVMNNs.

Keyword:

Exponential stability Clifford-valued memristor-based neural networks Impulsive disturbances Generalized norm Image encryption

Author Community:

  • [ 1 ] [Zhao, Ningning]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Qiao, Yuanhua]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Qiao, Yuanhua]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China;;

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Source :

APPLIED MATHEMATICS AND COMPUTATION

ISSN: 0096-3003

Year: 2024

Volume: 475

4 . 0 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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