On a linear-quadratic problem with Caputo derivative

DOI10.7494/OpMath.2016.36.1.49zbMath1343.49055MaRDI QIDQ3460532

Dariusz Idczak, Stanislaw Walczak

Publication date: 8 January 2016

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

maximum principlegradient methodgradient projection methodfractional Caputo derivativelinear-quadratic optimal control problem

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) Fractional derivatives and integrals (26A33) Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Fractional ordinary differential equations (34A08)

Related Items (11)

Existence of mild solutions for Sobolev-type Hilfer fractional evolution equations with boundary conditions ⋮ Existence of solutions for several higher-order Hadamard-type fractional differential equations with integral boundary conditions on infinite interval ⋮ Artificial boundary condition for one-dimensional nonlinear Schrödinger problem with Dirac interaction: existence and uniqueness results ⋮ Minimax solutions of Hamilton–Jacobi equations with fractional coinvariant derivatives ⋮ Study on the mild solution of Sobolev type Hilfer fractional evolution equations with boundary conditions ⋮ Optimal feedback in a linear-quadratic optimal control problem for a fractional-order system ⋮ Some necessary optimality conditions for systems with fractional Caputo derivatives ⋮ Necessary optimality conditions for quasi-singular controls for systems with Caputo fractional derivatives ⋮ Optimal control problems with a fixed terminal time in linear fractional-order systems ⋮ Construction of solutions to control problems for fractional-order linear systems based on approximation models ⋮ Existence results for Hilfer fractional evolution equations with boundary conditions

Cites Work

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• On the existence and uniqueness and formula for the solution of R-L fractional cauchy problem in ℝ n
• Pontryagin maximum principle for fractional ordinary optimal control problems
• Optimization of a fractional Mayer problem - existence of solutions, maximum principle, gradient methods
• Optimal Control of a Coercive Dirichlet Problem

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