Pseudospectral methods for solving infinite-horizon optimal control problems

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Garg, Divya, et al. “Pseudospectral Methods for Solving Infinite-Horizon Optimal Control Problems”. Automatica, vol. 47, no. 4, 2011, pp. 829-37, https://doi.org/10.1016/j.automatica.2011.01.085.
Garg, D., Hager, W. W., & Rao, A. V. (2011). Pseudospectral methods for solving infinite-horizon optimal control problems. Automatica, 47(4), 829-837. https://doi.org/10.1016/j.automatica.2011.01.085
Garg, Divya, William W. Hager, and Anil V. Rao. “Pseudospectral Methods for Solving Infinite-Horizon Optimal Control Problems”. Automatica 47, no. 4 (2011): 829-37. https://doi.org/10.1016/j.automatica.2011.01.085.
1.
Garg D, Hager WW, Rao AV. Pseudospectral methods for solving infinite-horizon optimal control problems. Automatica. 2011;47(4):829-37.
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Refrences
Title Journal Journal Categories Citations Publication Date
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
Algorithm 902

 ACM Transactions on Mathematical Software
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
 334 2010
Pseudospectral Methods for Infinite-Horizon Nonlinear Optimal Control Problems Journal of Guidance, Control, and Dynamics
  • Technology: Motor vehicles. Aeronautics. Astronautics
  • Science: Mathematics: Instruments and machines
  • Science
  • Technology: Motor vehicles. Aeronautics. Astronautics
  • Technology: Engineering (General). Civil engineering (General)
 92 2008
Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method Journal of Guidance, Control, and Dynamics
  • Technology: Motor vehicles. Aeronautics. Astronautics
  • Science: Mathematics: Instruments and machines
  • Science
  • Technology: Motor vehicles. Aeronautics. Astronautics
  • Technology: Engineering (General). Civil engineering (General)
 336 2006
Jacobi Pseudospectral Method for Solving Optimal Control Problems Journal of Guidance, Control, and Dynamics
  • Technology: Motor vehicles. Aeronautics. Astronautics
  • Science: Mathematics: Instruments and machines
  • Science
  • Technology: Motor vehicles. Aeronautics. Astronautics
  • Technology: Engineering (General). Civil engineering (General)
 46 2004
Refrences Analysis
Category Category Repetition
Technology: Motor vehicles. Aeronautics. Astronautics6
Technology: Engineering (General). Civil engineering (General)4
Science: Mathematics: Instruments and machines3
Science3
Technology: Mechanical engineering and machinery2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics1
The category Technology: Motor vehicles. Aeronautics. Astronautics 6 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Guidance, Control, and Dynamics and Automatica. The chart below illustrates the number of referenced publications per year.
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Citations
Title Journal Journal Categories Citations Publication Date
State‐dependent indirect hp‐pseudospectral method for rigid spacecraft attitude optimal control problem

 Asian Journal of Control
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
 2024
Method for solving state‐path constrained optimal control problems using adaptive Radau collocation

 Optimal Control Applications and Methods
  • Technology: Mechanical engineering and machinery
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
 2024
Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems

 Advances in Computational Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Three-Rigid-Body-Particle Modeling and Optimization of Trajectory and Posture for Alpine Skiing Journal of Systems Science and Complexity
  • Science: Mathematics
  • Science: Mathematics
 2024
Distributed safe trajectory optimization for large-scale spacecraft formation reconfiguration Acta Astronautica
  • Technology: Motor vehicles. Aeronautics. Astronautics
  • Science
  • Technology: Motor vehicles. Aeronautics. Astronautics
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 2024
Citations Analysis
Category Category Repetition
Technology: Engineering (General). Civil engineering (General)118
Technology: Mechanical engineering and machinery65
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics51
Technology: Motor vehicles. Aeronautics. Astronautics46
Science42
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods35
Science: Mathematics24
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks22
Technology: Manufactures: Production management. Operations management19
Science: Mathematics: Instruments and machines: Electronic computers. Computer science15
Science: Mathematics: Instruments and machines14
Science: Chemistry11
Technology: Engineering (General). Civil engineering (General): Transportation engineering6
Technology: Chemical technology: Chemical engineering5
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software5
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics5
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware4
Technology: Technology (General): Industrial engineering. Management engineering4
Naval Science4
Technology: Ocean engineering4
Geography. Anthropology. Recreation: Oceanography4
Technology: Chemical technology3
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication3
Science: Chemistry: Physical and theoretical chemistry2
Technology: Manufactures2
Social Sciences: Industries. Land use. Labor: Special industries and trades: Energy industries. Energy policy. Fuel trade2
Technology: Environmental technology. Sanitary engineering2
Medicine: Internal medicine: Neurosciences. Biological psychiatry. Neuropsychiatry2
Science: Biology (General)2
Science: Physics2
Technology: Electrical engineering. Electronics. Nuclear engineering2
Science: Chemistry: Analytical chemistry2
Social Sciences: Transportation and communications2
Political science: Political institutions and public administration (General)2
Science: Chemistry: General. Including alchemy1
Science: Science (General): Cybernetics: Information theory1
Technology: Chemical technology: Biotechnology1
Science: Astronomy1
Science: Geology1
Science: Physics: Meteorology. Climatology1
Technology: Mechanical engineering and machinery: Control engineering systems. Automatic machinery (General)1
Technology: Building construction: Architectural engineering. Structural engineering of buildings1
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases1
Social Sciences: Economic theory. Demography: Economics as a science1
Technology: Mining engineering. Metallurgy1
Science: Science (General)1
Science: Biology (General): Cytology1
Medicine: Medicine (General): Computer applications to medicine. Medical informatics1
Science: Chemistry: Organic chemistry: Biochemistry1
Technology: Mechanical engineering and machinery: Renewable energy sources1
Geography. Anthropology. Recreation: Environmental sciences1
Social Sciences1
Science: Physics: Descriptive and experimental mechanics1
The category Technology: Engineering (General). Civil engineering (General) 118 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Costate Estimation using Multiple-Interval Pseudospectral Methods and was published in 2011. The most recent citation comes from a 2024 study titled Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems. This article reached its peak citation in 2017, with 21 citations. It has been cited in 100 different journals, 11% of which are open access. Among related journals, the Optimal Control Applications and Methods cited this research the most, with 10 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year