Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay

• Tipo: Artigo em Revista Científica Internacional
• Data: 2018

Autores

Penghua Li (Autor) Outra; Liping Chen (Autor) Outra; Ranchao Wu (Autor) Outra; J. A. Tenreiro Machado (Autor) Outra; António M. Lopes (Autor) FEUP; Liguo Yuan (Autor) Outra

Revista

Título: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Vol. 355 Nº 15

Páginas: 7749-7763

ISSN: 0016-0032

Editora: Palgrave Macmillan

Indexação

ISI Web of Knowledge - 4 Citações

Scopus - 15 Citações

INSPEC

Outras Informações

ID Authenticus: P-00P-M8J

DOI: 10.1016/j.jfranklin.2018.08.017

Abstract (EN): This paper studies the global asymptotic stability of a class of interval fractional-order (FO) nonlinear systems with time-delay. First, a new lemma for the Caputo fractional derivative is presented. It extends the FO Lyapunov direct method allowing the stability analysis and synthesis of FO nonlinear systems with time-delay. Second, by employing FO Razumikhin theorem, a new delay-independent stability criterion, in the form of linear matrix inequality is established for ensuring that a system is globally asymptotically stable. It is shown that the new criterion is simple, easy to use and valid for the FO or integer-order interval neural networks with time-delay. Finally, the feasibility and effectiveness of the proposed scheme are tested with a numerical example.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15