About: Legendre pseudospectral method

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The Legendre pseudospectral method for optimal control problems is based on Legendre polynomials. It is part of the larger theory of pseudospectral optimal control, a term coined by Ross. A basic version of the Legendre pseudospectral was originally proposed by Elnagar and his coworkers in 1995. Since then, Ross, Fahroo and their coworkers have extended, generalized and applied the method for a large range of problems. An application that has received wide publicity is the use of their method for generating real time trajectories for the International Space Station.

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  • The Legendre pseudospectral method for optimal control problems is based on Legendre polynomials. It is part of the larger theory of pseudospectral optimal control, a term coined by Ross. A basic version of the Legendre pseudospectral was originally proposed by Elnagar and his coworkers in 1995. Since then, Ross, Fahroo and their coworkers have extended, generalized and applied the method for a large range of problems. An application that has received wide publicity is the use of their method for generating real time trajectories for the International Space Station. (en)
  • 最优控制中的勒壤得擬譜法（Legendre pseudospectral method）是以勒让德多项式為基礎的方式。是擬譜最佳控制中的一部份，後者是由所命名的理論。勒壤得擬譜法的基本版本最早是由Elnagar等人在1995年提出。之後，I. Michael Ross、Fariba Fahroo等人延伸擴展此方法，應用到更大範圍的問題中。其中一個受到廣泛宣傳的應用是用此方法來產生国际空间站的實時軌跡。 (zh)
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  • The Legendre pseudospectral method for optimal control problems is based on Legendre polynomials. It is part of the larger theory of pseudospectral optimal control, a term coined by Ross. A basic version of the Legendre pseudospectral was originally proposed by Elnagar and his coworkers in 1995. Since then, Ross, Fahroo and their coworkers have extended, generalized and applied the method for a large range of problems. An application that has received wide publicity is the use of their method for generating real time trajectories for the International Space Station. (en)
  • 最优控制中的勒壤得擬譜法（Legendre pseudospectral method）是以勒让德多项式為基礎的方式。是擬譜最佳控制中的一部份，後者是由所命名的理論。勒壤得擬譜法的基本版本最早是由Elnagar等人在1995年提出。之後，I. Michael Ross、Fariba Fahroo等人延伸擴展此方法，應用到更大範圍的問題中。其中一個受到廣泛宣傳的應用是用此方法來產生国际空间站的實時軌跡。 (zh)
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  • Legendre pseudospectral method (en)
  • 勒壤得擬譜法 (zh)
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