Asymptotic Stability of Fractional-Order Incommensurate Neural Networks

• Tipo: Artigo em Revista Científica Internacional
• Data: 2022

Autores

Chen, LP (Autor) Outra; Gu, PP (Autor) Outra; António Mendes Lopes (Autor) FEUP; Chai, Y (Autor) Outra; Xu, SQ (Autor) Outra; Ge, SL (Autor) Outra

Revista

A Revista está pendente de validação pelos Serviços Administrativos.

Título: NEURAL PROCESSING LETTERS

ISSN: 1370-4621

Indexação

ISI Web of Knowledge - 0 Citações

Scopus

Outras Informações

ID Authenticus: P-00X-JXC

DOI: 10.1007/s11063-022-11095-y

Abstract (EN): The dynamics and stability of fractional-order (FO) neural networks (FONN) and FO memristive neural networks (FOMNN), have received great attention in the last years. However, most research focused merely on commensurate FONN (all neurons have the same order). This paper addresses the stability of a class of incommensurate FONN for the first time. Firstly, using the comparison principle for FO systems with multi-order, the stability of FO nonlinear systems with multi-order is treated similarly to the stability of incommensurate FO linear systems. Then, adopting the stability results of incommensurate FO linear systems, an asymptotic stability criterion for FONN is established. The proposed method is valid for investigating the stability and synchronization of uncertain FONN and FOMNN with multi-order. Numerical simulations illustrate the theoretical results and their effectiveness.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15