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Author:

Zhao, Ningning (Zhao, Ningning.) | Qiao, Yuanhua (Qiao, Yuanhua.) (Scholars:乔元华) | Miao, Jun (Miao, Jun.) | Duan, Lijuan (Duan, Lijuan.)

Indexed by:

EI Scopus SCIE

Abstract:

A model of impulsive octonion-valued fuzzy inertial neural networks (OVFINNs) with time-varying delays is established, and fixed-time (FXT) synchronization is investigated by using direct octonion approach. First, a new FXT stability lemma of impulsive systems is presented and the upper bound of settling time is estimated by using the average impulsive interval and comparison principle. Second, two inequalities on fuzzy logic are developed in the field of octonion. Third, novel lemmas are introduced based on octonion-valued norm and sign function to overcome the non associative and non commutative laws of octonion multiplication. Furthermore, two new nonlinear octonion-valued controllers are directly designed to induce the FXT synchronization. Then, according to the improving FXT stability lemma and designed controllers, some novel sufficient conditions are given to ensure FXT synchronization of OVFINNs. Finally, two numerical simulations are given to demonstrate the correctness of the theoretical results and the effectiveness of FXT synchronization in secure communication.

Keyword:

octonion-valued neural networks (OVNNs) Biological neural networks Artificial neural networks Quaternions FXT synchronization Fixed-time (FXT) stability Stability criteria Synchronization Numerical stability impulsive systems Neurons

Author Community:

  • [ 1 ] [Zhao, Ningning]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Qiao, Yuanhua]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Miao, Jun]Beijing Informat Sci & Technol Univ, Sch Comp Sci, Beijing 100101, Peoples R China
  • [ 4 ] [Duan, Lijuan]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 乔元华

    [Qiao, Yuanhua]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China

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Source :

IEEE TRANSACTIONS ON FUZZY SYSTEMS

ISSN: 1063-6706

Year: 2024

Issue: 4

Volume: 32

Page: 1978-1990

1 1 . 9 0 0

JCR@2022

Cited Count:

WoS CC Cited Count: 9

SCOPUS Cited Count: 9

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

Affiliated Colleges:

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