Convergence rates for direct transcription of optimal control problems using collocation at Radau points
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Publication:732243
DOI10.1007/s10589-007-9098-9zbMath1219.49029OpenAlexW1987694238MaRDI QIDQ732243
Lorenz T. Biegler, Shivakumar Kameswaran
Publication date: 9 October 2009
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-007-9098-9
Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Control problems involving ordinary differential equations (34H05) Discrete approximations in optimal control (49M25) Axiomatic systems theory (93A05)
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Cites Work
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- Direct and indirect methods for trajectory optimization
- On the approximation of infinite optimization problems with an application to optimal control problems
- Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems
- Adjoint estimation from a direct multiple shooting method
- Runge-Kutta methods in optimal control and the transformed adjoint system
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
- Collocation at Gauss Points as a Discretization in Optimal Control
- Rates of Convergence for Discrete Approximations to Unconstrained Control Problems
- Numerical Optimization
- Consistent Approximations for Optimal Control Problems Based on Runge–Kutta Integration
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