Finite-time lag projective synchronization of delayed fractional-order quaternion-valued neural networks with parameter uncertainties

Autor: Weiying Shang, Weiwei Zhang, Hai Zhang, Hongmei Zhang, Jinde Cao, Fawaz E. Alsaadi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Nonlinear Analysis, Vol 28, Iss 2 (2023)
Druh dokumentu: article
ISSN: 1392-5113
2335-8963
DOI: 10.15388/namc.2023.28.30817
Popis: This paper discusses a class issue of finite-time lag projective synchronization (FTLPS) of delayed fractional-order quaternion-valued neural networks (FOQVNNs) with parameter uncertainties, which is solved by a non-decomposition method. Firstly, a new delayed FOQVNNs model with uncertain parameters is designed. Secondly, two types of feedback controller and adaptive controller without sign functions are designed in the quaternion domain. Based on the Lyapunov analysis method, the non-decomposition method is applied to replace the decomposition method that requires complex calculations, combined with some quaternion inequality techniques, to accurately estimate the settling time of FTLPS. Finally, the correctness of the obtained theoretical results is testified by a numerical simulation example.
Databáze: Directory of Open Access Journals