Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay |
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| Authors: | Penghua Li Liping Chen Ranchao Wu JA Tenreiro Machado António M Lopes Liguo Yuan |
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| Institution: | 1. Automotive Electronics Engineering Research Center, College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;2. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China;3. School of Mathematics, Anhui University, Hefei 230601, China;4. Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, R. Dr. António Bernardino de Almeida, 431, Porto 4249-015, Portugal;5. UISPA–LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, Porto 4200-465, Portugal;6. School of Mathematics and Informatics, South China Agricultural University, Guangzhou 510642, China |
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| 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. |
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| Keywords: | Corresponding author |
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