Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

Liping Chen (Autor) Outra; Tingwen Huang (Autor) Outra; J. A. Tenreiro Machado (Autor) Outra; António M. Lopes (Autor) FEUP; Yi Chai (Autor) Outra; Ranchao Wu (Autor) Outra

Revista

Título: Neural Networks

Vol. 118

Páginas: 289-299

ISSN: 0893-6080

Editora: Elsevier

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 30 Citações

INSPEC

Outras Informações

ID Authenticus: P-00Q-WBW

DOI: 10.1016/j.neunet.2019.07.006

Abstract (EN): The Lyapunov-Krasovskii functional approach is an important and effective delay-dependent stability analysis method for integer order system. However, it cannot be applied directly to fractional-order (FO) systems. To obtain delay-dependent stability and stabilization conditions of FO delayed systems remains a challenging task. This paper addresses the delay-dependent stability and the stabilization of a class of FO memristive neural networks with time-varying delay. By employing the FO Razumikhin theorem and linear matrix inequalities (LMI), a delay-dependent asymptotic stability condition in the form of LMI is established and used to design a stabilizing state-feedback controller. The results address both the effects of the delay and the FO. In addition, the upper bound of the absolute value of the memristive synaptic weights used in previous studies are released, leading to less conservative conditions. Three numerical simulations illustrate the theoretical results and show their effectiveness.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11