Fractional optimal control problem for ordinary differential equation in weighted Lebesgue spaces
From MaRDI portal
Publication:2192998
DOI10.1007/s11590-019-01518-6zbMath1448.49026OpenAlexW2994579562WikidataQ115377842 ScholiaQ115377842MaRDI QIDQ2192998
Telman K. Melikov, Misir J. Mardanov, Ilgar G. Mamedov, Rovshan A. Bandaliyev
Publication date: 24 August 2020
Published in: Optimization Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11590-019-01518-6
initial value problemPontryagin's maximum principleCaputo fractional derivativefractional optimal control problemweighed Lebesgue spaces
Optimality conditions for problems involving ordinary differential equations (49K15) Fractional ordinary differential equations (34A08)
Related Items
Minimax solutions of Hamilton–Jacobi equations with fractional coinvariant derivatives, Optimal control problems with a fixed terminal time in linear fractional-order systems, Optimal control problem for a degenerate fractional differential equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An introductory course in Lebesgue spaces
- On the existence of optimal solutions to fractional optimal control problems
- The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives
- Pontryagin's maximum principle for the optimal control problems with multipoint boundary conditions
- Fractional order optimal control problems with free terminal time
- Laplace transform and fractional differential equations
- Recent history of fractional calculus
- A control parameterization method to solve the fractional-order optimal control problem
- Lectures on analysis on metric spaces
- A novel fractional microbial batch culture process and parameter identification
- Numerical solution of fractional optimal control
- Optimal control problem for Bianchi equation in variable exponent Sobolev spaces
- A general formulation and solution scheme for fractional optimal control problems
- Pontryagin maximum principle for fractional ordinary optimal control problems
- A new approach to the Pontryagin maximum principle for nonlinear fractional optimal control problems
- Fractional Optimal Control Problems with Several State and Control Variables