A control parameterization method for solving combined fractional optimal parameter selection and optimal control problems
DOI10.1016/J.CNSNS.2024.108462MaRDI QIDQ6669782
Song Wang, Kok Lay Teo, Huey Tyng Cheong, Xiaopeng Yi, Chongyang Liu, Zhaohua Gong
Publication date: 22 January 2025
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
numerical schemenumerical optimizationcontrol parameterizationfractional optimal controlfractional parameter selection
Numerical methods in optimal control (49Mxx) Model systems in control theory (93Cxx) Optimality conditions (49Kxx)
Cites Work
- Title not available (Why is that?)
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- Title not available (Why is that?)
- A penalty method for a fractional order parabolic variational inequality governing American put option valuation
- Robust suboptimal control of nonlinear systems
- An exact penalty function method for continuous inequality constrained optimal control problem
- An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment
- A control parameterization method to solve the fractional-order optimal control problem
- A generalized Gronwall inequality and its application to a fractional differential equation
- Finite element solution of diffusion problems with irregular data
- Control parametrization: a unified approach to optimal control problems with general constraints
- Cauchy-Lipschitz theory for fractional multi-order dynamics: state-transition matrices, Duhamel formulas and duality theorems.
- Numerical solution of fractional optimal control
- Time optimal control computation with application to ship steering
- Novel operational matrices for solving 2-dim nonlinear variable order fractional optimal control problems via a new set of basis functions
- Optimal state-delay control in nonlinear dynamic systems
- Sequential adaptive switching time optimization technique for optimal control problems
- On differentiability of solutions of fractional differential equations with respect to initial data
- Robust identification of nonlinear state-dependent impulsive switched system with switching duration constraints
- 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
- Newton Methods for Nonlinear Problems
- A computational method for the solution of time-optimal control problems by Newton's method
- A computational method for combined optimal parameter selection and optimal control problems with general constraints
- Optimal control of switched systems via non-linear optimization based on direct differentiations of value functions
- Modelling and parameter identification for a two-stage fractional dynamical system in microbial batch process
- Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic
- Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints
- Dynamic Programming Principle and Hamilton--Jacobi--Bellman Equations for Fractional-Order Systems
- Numerical solution of nonlinear fractional optimal control problems using generalized Bernoulli polynomials
- New variable-order fractional chaotic systems for fast image encryption
- Mittag-Leffler Functions, Related Topics and Applications
- On optimal parameter selection
- Applied and Computational Optimal Control
- Numerical solution of delay fractional optimal control problems with free terminal time
- Optimal switching control of 1,3-propanediol fed-batch production with a cost on smooth feeding rate variation
- Filtering-based gradient joint identification algorithms for nonlinear fractional-order models with colored noises
- A new hybrid method for two dimensional nonlinear variable order fractional optimal control problems
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