On necessary optimality conditions and exact penalization for a constrained fractional optimal control problem
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Publication:6078632
DOI10.1002/oca.2877OpenAlexW4220744477MaRDI QIDQ6078632
Songgui Wang, Wen Li, Chongyang Liu
Publication date: 25 October 2023
Published in: Optimal Control Applications and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/oca.2877
necessary optimality conditionsexact penalizationcalculus of variationfractional optimal controlfractional ordinary differential equations
Existence theories for optimal control problems involving ordinary differential equations (49J15) Fractional ordinary differential equations (34A08)
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Cites Work
- Unnamed Item
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- Pricing American options under proportional transaction costs using a penalty approach and a finite difference scheme
- A numerical technique for solving fractional optimal control problems
- An exact penalty function method for continuous inequality constrained optimal control problem
- Modelling and optimal state-delay control in microbial batch process
- A control parameterization method to solve the fractional-order optimal control problem
- Fractional order electromagnetics
- Application of fractional calculus to ultrasonic wave propagation in human cancellous bone
- Fractional order control strategies for power electronic buck converters
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- The exact penalty function method in constrained optimal control problems
- Numerical solution of fractional optimal control
- A power penalty method for a 2D fractional partial differential linear complementarity problem governing two-asset American option pricing
- The necessary conditions of fractional optimal control in the sense of Caputo
- Optimal control of nonlinear fractional-order systems with multiple time-varying delays
- Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems
- Numerical solution of free final time fractional optimal control problems
- An interior penalty method for a large-scale finite-dimensional nonlinear double obstacle problem
- Power penalty method for a linear complementarity problem arising from American option valuation
- A 2nd-order one-point numerical integration scheme for fractional ordinary differential equations
- An efficient approximate method for solving delay fractional optimal control problems
- A general formulation and solution scheme for fractional optimal control problems
- Optimal control computation for nonlinear fractional time-delay systems with state inequality constraints
- An Efficient Numerical Scheme for Solving Multi-Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index
- A Formulation and Numerical Scheme for Fractional Optimal Control Problems
- Mechanics with variable-order differential operators
- Exact penalty function approach to constrained optimal control problems
- Exact Penalty Functions in Constrained Optimization
- Generalized fractional-order Bernoulli–Legendre functions: an effective tool for solving two-dimensional fractional optimal control problems
- Numerical investigation of distributed‐order fractional optimal control problems via Bernstein wavelets
- A 2nd-Order Numerical Scheme for Fractional Ordinary Differential Equation Systems