Stability analysis of a class of variable fractional-order uncertain neutral-type systems with time-varying delay |
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| Institution: | 1. Faculty of Electrical Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran;2. Department of Applied Science, School of Computing, Engineering and Built Environment, Glasgow Caledonian University, Glasgow G4 0BA, UK;3. Electrical and Computer Engineering Department, University of Louisiana at Lafayette, P.O. Box 43890, Lafayette, LA 70504, USA;1. School of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430205, China;2. Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University, Wuhan 430200, China;3. Chongqing Key Laboratory of Complex Systems and Bionic Control, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;4. School of Computer Science and Technology, Wuhan University of Science and Technology, Wuhan 430065, China;1. Department of Electrical Engineering, University of Isfahan, Isfahan, Iran;2. Electrical and Computer Engineering, Binghamton University, SUNY, NY, USA;3. Engineering Department, Lancaster University, Gillow Avenue, Lancaster, England |
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| Abstract: | Variable fractional-order (VFO) differential equations are a beneficial tool for describing the nonlinear behavior of complex dynamical phenomena. In comparison with the constant FO derivatives, it describes the memory properties of such systems that can vary in the time domain and spatial location. This article investigates the stability and stabilization of VFO neutral systems in the presence of time-varying structured uncertainties and time-varying delay. FO Lyapunov theorem is adopted to achieve order-dependent and delay-dependent criteria for both nominal and uncertain VFO neutral delay systems. The obtained conditions are given in respect of linear matrix inequality by designing a delayed state feedback controller. Simulations verify the main results. |
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