An \(hp\) symplectic pseudospectral method for nonlinear optimal control
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Publication:2004842
DOI10.1016/j.cnsns.2016.06.023zbMath1473.49036OpenAlexW2441384902MaRDI QIDQ2004842
Mingwu Li, Biao-Song Chen, Xin-Wei Wang, Hai-Jun Peng
Publication date: 7 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.06.023
variational principlespseudospectral methodnonlinear optimal controlHamiltonian systemsymplectichp-method
Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discrete approximations in optimal control (49M25)
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Cites Work
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- Symplectic adaptive algorithm for solving nonlinear two-point boundary value problems in astrodynamics
- A composite Chebyshev finite difference method for nonlinear optimal control problems
- Collocation points distributions for optimal spacecraft trajectories
- Pseudospectral methods for solving infinite-horizon optimal control problems
- Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method
- A unified framework for the numerical solution of optimal control problems using pseudospectral methods
- Direct and indirect methods for trajectory optimization
- Determination of optimal feedback terminal controllers for general boundary conditions using generating functions
- Numerical solution of constrained optimal control problems with parameters
- Optimal control of deployment of a tethered subsatellite
- A symplectic sequence iteration approach for nonlinear optimal control problems with state-control constraints
- The h, p and h-p versions of the finite element method in 1 dimension. I. The error analysis of the p-version
- The h, p and h-p versions of the finite element method in 1 dimension. II. The error analysis of the h- and h-p versions
- The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
- Optimal control of the atmospheric reentry of a space shuttle by an homotopy method
- Symplectic Irregular Interpolation Algorithms for Optimal Control Problems
- Algorithm 902
- Spectral Methods
- Hamiltonian two-degrees-of-freedom control of chemical reactors
- Discrete mechanics and optimal control for constrained systems
- Aphmesh refinement method for optimal control
- A shooting method for solving two-point boundary-value problems arising from non-singular bang-bang optimal control problems
- Spectral Methods in MATLAB
- An hp‐adaptive pseudospectral method for solving optimal control problems
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