Results 1 to 10 of about 20,855,140 (305)
Controllability of Linear Fractional Systems with Delay in Control
Journal of Function Spaces, 2022 This paper discusses the controllability of continuous-time linear fractional systems with control delay. The Atangana-Baleanu fractional derivative with the Caputo approach is used.
Mina Ghasemi, Kameleh Nassiri
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Analysis of a System for Linear Fractional Differential Equations [PDF]
Journal of Applied Mathematics, 2012 The main purpose of this paper is to obtain the unique solution of the constant coefficient homogeneous linear fractional differential equations Dt0qX(t)=PX(t),X(a)=B and the constant coefficient nonhomogeneous linear fractional differential equations ...
Fang Wang, Zhen-hai Liu, Ping Wang
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Generalized Fractional Algebraic Linear System Solvers [PDF]
Journal of Scientific Computing, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antoine, Xavier, Lorin, Emmanuel
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Control Techniques for a Class of Fractional Order Systems
Mathematics, 2021 The paper discusses several control techniques for a class of systems described by fractional order equations. The paper presents the unit frequency criteria that ensure the closed loop control for: Fractional Order Linear Systems, Fractional Order ...
Mircea Ivanescu +3 more
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Trajectories and Singular Points of Two-Dimensional Fractional-Order Autonomous Systems
Advances in Mathematical Physics, 2022 In this paper, we study the trajectories and singular points of two-dimensional fractional-order planar autonomous linear system involving the Caputo-Fabrizio fractional derivative.
Bohui Yang +4 more
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Discretization of Linear Fractional Representations of LPV systems [PDF]
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009 Commonly, controllers for Linear Parameter- Varying (LPV) systems are designed in continuous-time using a Linear Fractional Representation (LFR) of the plant. However, the resulting controllers are implemented on digital hardware. Furthermore, discrete-time LPV synthesis approaches require a discrete-time model of the plant which is often derived from ...
Roland Tóth +3 more
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Analytical Solution of the Fractional Linear Time-Delay Systems and their Ulam-Hyers Stability
Journal of Applied Mathematics, 2022 We introduce the delayed Mittag-Leffler type matrix functions, delayed fractional cosine, and delayed fractional sine and use the Laplace transform to obtain an analytical solution to the IVP for a Hilfer type fractional linear time-delay system D0,tμ ...
Nazim I. Mahmudov
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Nonlinear Analysis, 2022 This paper investigates the finite-time stabilization problem of fractional-order nonlinear differential systems via an asymmetrically saturated reliable control in the sense of Caputo’s fractional derivative.
L. Susana Ramya +2 more
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Axioms, 2021 In this article, we consider a retarded linear fractional differential system with distributed delays and Caputo type derivatives of incommensurate orders.
Hristo Kiskinov +3 more
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Basic Control Theory for Linear Fractional Differential Equations With Constant Coefficients
Frontiers in Physics, 2020 In this paper we present an analogous result of the famous Kalman controllability criterion for first order linear ordinary differential equations with constant coefficients that applies to the case of linear differential equations of fractional order ...
Sebastián Buedo-Fernández +3 more
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