Novel Synchronization Analysis of Fractional-Order Nonautonomous Neural Networks With Mixed Delays

Xiao-wen Tan, Yu Wang, Tian-zeng Li and Qian-kun Wang

Discrete Dynamics in Nature and Society, 2026, vol. 2026, 1-15

Abstract: This paper focuses on the global Mittag–Leffler synchronization of fractional-order nonautonomous neural networks with mixed delays (FONANNMD). A time-varying coefficient eÏ t is introduced to capture the nonautonomous dynamics, aligning with real-world time-varying neuron connection weights. A linear feedback controller, integrating proportional, delay, and integral terms, is devised to mitigate mixed delays’ impact on synchronization. Using Caputo fractional derivatives, Mittag–Leffler function properties, and the Lyapunov direct method, sufficient conditions for global synchronization are derived. These conditions are more general than existing ones for autonomous or single-delay systems, ensuring the error system converges to zero in the Mittag–Leffler stability sense. Numerical simulations on 3-dimensional and 4-dimensional neural networks, along with analyses of key parameters (fractional order ξ and delay σ) and convergence metrics (error norms), verify that the proposed controller outperforms traditional proportional feedback in suppressing mixed delays. It also reveals how the fractional order affects synchronization speed.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ddns/2026/8827095.pdf (application/pdf)
http://downloads.hindawi.com/journals/ddns/2026/8827095.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8827095

DOI: 10.1155/ddns/8827095

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().