Symplectic algorithms with mesh refinement for a hypersensitive optimal control problem

DOI10.1080/00207160.2014.979810zbMath1337.49054OpenAlexW2073906166MaRDI QIDQ2804027

Hai-Jun Peng, Qiang Gao, Zhi-Gang Wu, Wan-xie Zhong

Publication date: 27 April 2016

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.979810

zbMATH Keywords

boundary-value problemoptimal control problemHamiltonian systemmesh refinementhypersensitivitysymplectic algorithms

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Boundary value problems in the complex plane (30E25) Existence theories for optimal control problems involving ordinary differential equations (49J15) Discrete approximations in optimal control (49M25) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (3)

A robust pseudospectral method for numerical solution of nonlinear optimal control problems ⋮ A high-precision single shooting method for solving hypersensitive optimal control problems ⋮ A composite pseudospectral method for optimal control problems with piecewise smooth solutions

Cites Work

• Determination of optimal feedback terminal controllers for general boundary conditions using generating functions
• Dichotomic basis approach to solving hyper-sensitive optimal control problems
• An hp‐adaptive pseudospectral method for solving optimal control problems
• Eigenvector approximate dichotomic basis method for solving hyper-sensitive optimal control problems

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