Optimal control problem investigation for linear time-invariant systems of fractional order with lumped parameters described by equations with Riemann-Liouville derivative

DOI10.1155/2016/4873083zbMath1347.49006OpenAlexW2403905583WikidataQ59126054 ScholiaQ59126054MaRDI QIDQ328307

S. S. Postnov, V. A. Kubyshkin

Publication date: 20 October 2016

Published in: Journal of Control Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/4873083

zbMATH Keywords

Riemann-Liouville derivativelinear time-invariant systems of fractional order

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items (3)

Optimal control problems for linear fractional-order systems defined by equations with Hadamard derivative ⋮ Optimal control problems for certain linear fractional-order systems given by equations with Hilfer derivative ⋮ The \(l\)-problem of moments for one-dimensional integro-differential equations with Erdélyi-Kober operators

Uses Software

• quadgk
• quadva

Cites Work

• Optimal control problem for a linear stationary fractional order system in the form of a problem of moments: problem setting and a study
• Analysis of two optimal control problems for a fractional-order pendulum by the method of moments
• On Riemann-Liouville and Caputo derivatives
• Calculus of variations with fractional derivatives and fractional integrals
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Fractional integro-differential calculus and its control-theoretical applications. II. fractional dynamic systems: modeling and hardware implementation
• Vectorized adaptive quadrature in MATLAB
• Fractional linear control systems with Caputo derivative and their optimization
• The Optimal Control Problem for Linear Systems of Non-integer Order with Lumped and Distributed Parameters
• Pontryagin maximum principle for fractional ordinary optimal control problems
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