Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative

DOI10.1515/AMCS-2016-0037zbMath1347.93147OpenAlexW2525291455MaRDI QIDQ328880

Kamil Borawski, Tadeusz Kaczorek

Publication date: 21 October 2016

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amcs-2016-0037

zbMATH Keywords

linear systemdescriptor systemfractional systemcontinuous-timeCaputo-Fabrizio derivative

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15) Matrix pencils (15A22) Fractional ordinary differential equations (34A08)

Related Items (8)

New aspects of time fractional optimal control problems within operators with nonsingular kernel ⋮ Theoretical analysis of a model of fluid flow in a reservoir with the Caputo-Fabrizio operator ⋮ Fractional order tube model reference adaptive control for a class of fractional order linear systems ⋮ On Cauchy problem for nonlinear fractional differential equation with random discrete data ⋮ Global stability of nonlinear feedback systems with positive linear parts ⋮ Exponential Stability for a Class of Fractional Order Dynamic Systems ⋮ On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation ⋮ The effect of the parameters of the generalized fractional derivatives on the behavior of linear electrical circuits

Cites Work

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• Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks
• Selected problems of fractional systems theory.
• The computation of Kronecker's canonical form of a singular pencil
• Singular systems, state feedback problem
• Stability analysis of positive descriptor systems
• Analysis and design of descriptor linear systems
• Fundamental theorem of state feedback for singular systems
• Singular control systems
• Positive singular discrete linear systems
• Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
• Matrix pencil of closed-loop descriptor systems: infinite-eigenvalue assignment
• Positive Linear Systems Consisting of $n$ Subsystems With Different Fractional Orders
• Design of regular positive and stable descriptor systems via state-feedbacks for descriptor continuous-time linear systems with singular pencils
• Positive 1D and 2D systems

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