Optimal control of linear systems with fractional derivatives

DOI10.1515/fca-2018-0009zbMath1396.49033OpenAlexW2796710570MaRDI QIDQ1647894

Ivan Matychyn, Viktoriia Onyshchenko

Publication date: 27 June 2018

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2018-0009

zbMATH Keywords

optimal controlfractional calculusfractional differential equationsmatrix Mittag-Leffler function

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Fractional derivatives and integrals (26A33) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimality conditions for problems involving ordinary differential equations (49K15) Linear optimal control problems (49N05) Fractional ordinary differential equations (34A08)

Related Items (19)

Non-local boundary value problem for a system of ordinary differential equations with Riemann–Liouville derivatives ⋮ Minimax solutions of Hamilton–Jacobi equations with fractional coinvariant derivatives ⋮ A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol ⋮ Some necessary optimality conditions for systems with fractional Caputo derivatives ⋮ Game-theoretical problems for fractional-order nonstationary systems ⋮ Controllability and observability of linear time-varying fractional systems ⋮ Necessary optimality conditions for quasi-singular controls for systems with Caputo fractional derivatives ⋮ \( \alpha \)-fractionally convex functions ⋮ Necessary and sufficient optimality conditions for fractional Fornasini-Marchesini model ⋮ Solution of linear fractional order systems with variable coefficients ⋮ Optimal control problems with a fixed terminal time in linear fractional-order systems ⋮ On LQ optimization problem subject to fractional order irregular singular systems ⋮ Construction of solutions to control problems for fractional-order linear systems based on approximation models ⋮ Time-optimal control of linear fractional systems with variable coefficients ⋮ Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions ⋮ Optimal control of linear systems of arbitrary fractional order ⋮ On solvability for a class of nonlinear systems of differential equations with the Caputo fractional derivative ⋮ Green’s function of a boundary value problem for a system of ordinary differential fractional order equations ⋮ STABILITY ANALYSIS OF NONLINEAR UNCERTAIN FRACTIONAL DIFFERENTIAL EQUATIONS WITH CAPUTO DERIVATIVE

Uses Software

• Matlab
• ML
• mftoolbox

Cites Work

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• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
• Functions of Matrices
• Generalized Mittag-Leffler matrix functions in game problems for evolutionary equations of fractional order

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