Convergence of the forward-backward sweep method in optimal control

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Science
Mathematics
Technology
Engineering (General)
Civil engineering (General)
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Technology (General)
Industrial engineering
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Refrences
Title Journal Journal Categories Citations Publication Date
Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method Computational Optimization and Applications
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 193 2011
Direct Trajectory Optimization Using a Variable Low-Order Adaptive Pseudospectral Method Journal of Spacecraft and Rockets
  • Technology: Motor vehicles. Aeronautics. Astronautics
  • Science
  • Technology: Motor vehicles. Aeronautics. Astronautics
  • Technology: Engineering (General). Civil engineering (General)
 142 2011
Pseudospectral methods for solving infinite-horizon optimal control problems Automatica
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
 174 2011
Inexact Restoration for Runge–Kutta Discretization of Optimal Control Problems SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 27 2010
A unified framework for the numerical solution of optimal control problems using pseudospectral methods Automatica
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
 372 2010
Refrences Analysis
Category Category Repetition
Technology: Engineering (General). Civil engineering (General)24
Technology: Mechanical engineering and machinery18
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods16
Science: Mathematics14
Technology: Manufactures: Production management. Operations management9
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics9
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks7
Science: Mathematics: Instruments and machines: Electronic computers. Computer science4
Technology: Motor vehicles. Aeronautics. Astronautics2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware2
Science1
The category Technology: Engineering (General). Civil engineering (General) 24 is the most frequently represented among the references in this article. It primarily includes studies from SIAM Journal on Numerical Analysis and IEEE Transactions on Automatic Control. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Optimal Control with RdCVFL for Degenerating Photoreceptors

 Bulletin of Mathematical Biology
  • Science: Biology (General)
  • Medicine: Medicine (General): Computer applications to medicine. Medical informatics
  • Science: Biology (General)
  • Science: Mathematics
 2024
Optimal vaccination and treatment policies with constrained inequalities to study limited vaccination resources for a multistrain reaction–diffusion SEIR model of COVID-19 Partial Differential Equations in Applied Mathematics 2024
Mitigating the Impact of a False Message Through Sequential Release of Clarifying Messages IEEE Transactions on Network Science and Engineering 2024
Dose optimization of an adjuvanted peptide-based personalized neoantigen melanoma vaccine

 PLOS Computational Biology
  • Science: Biology (General)
  • Science: Chemistry: Organic chemistry: Biochemistry
  • Medicine: Medicine (General): Computer applications to medicine. Medical informatics
  • Science: Biology (General)
  • Science: Biology (General)
  • Science: Chemistry: Organic chemistry: Biochemistry
 2024
Optimal Social and Vaccination Control in the SVIR Epidemic Model

 Mathematics
  • Science: Mathematics
  • Science: Mathematics
 2024
Citations Analysis
Category Category Repetition
Science: Mathematics35
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods28
Technology: Mechanical engineering and machinery17
Science: Physics14
Technology: Engineering (General). Civil engineering (General)12
Science: Biology (General)10
Medicine: Medicine (General): Computer applications to medicine. Medical informatics10
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics8
Science: Science (General)7
Technology: Manufactures: Production management. Operations management6
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks5
Science: Chemistry: Organic chemistry: Biochemistry5
Science: Mathematics: Instruments and machines: Electronic computers. Computer science5
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases4
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics4
Science: Science (General): Cybernetics: Information theory4
Social Sciences: Statistics4
Science3
Technology: Chemical technology: Biotechnology3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware3
Medicine2
Science: Chemistry: Physical and theoretical chemistry2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication2
Technology: Technology (General): Industrial engineering. Management engineering: Information technology2
Social Sciences: Economic theory. Demography: Economics as a science2
Geography. Anthropology. Recreation: Environmental sciences2
Technology: Technology (General): Industrial engineering. Management engineering1
Science: Astronomy: Astrophysics1
Medicine: Medicine (General): Medical technology1
Social Sciences: Commerce: Business1
Social Sciences1
Science: Biology (General): Ecology1
Technology: Environmental technology. Sanitary engineering1
The category Science: Mathematics 35 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Optimal Control in the Treatment of Retinitis Pigmentosa and was published in 2013. The most recent citation comes from a 2024 study titled Optimal vaccination and treatment policies with constrained inequalities to study limited vaccination resources for a multistrain reaction–diffusion SEIR model of COVID-19. This article reached its peak citation in 2023, with 19 citations. It has been cited in 63 different journals, 23% of which are open access. Among related journals, the International Journal of Dynamics and Control cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year