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

• Type: Article in International Scientific Journal
• Date: 2018

Authors

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

Journal

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

Vol. 355 No. 15

Pages: 7749-7763

ISSN: 0016-0032

Publisher: Palgrave Macmillan

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 15 Citations

INSPEC

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15