Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay. Issue 15 (October 2018)

• Record Type: Journal Article
• Authors: Li, Penghua; Chen, Liping; Wu, Ranchao; Tenreiro Machado, J.A.; Lopes, António M.; Yuan, Liguo
• Is Part Of: Journal of the Franklin Institute. Volume 355:Issue 15(2018)
• Page Start: 7749
• Page End: 7763
• Publication Date: 2018-10
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2018.08.017
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: 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.