Function-space quasi-Newton algorithms for optimal control problems with bounded controls and singular arcs

DOI10.1007/BF00933131zbMath0316.49020OpenAlexW2018916469MaRDI QIDQ1221303

W. F. Powers, E. R. Edge

Publication date: 1976

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00933131

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Newton-type methods (49M15) Mathematical programming (90C99)

Related Items (11)

Numerical methods for singular optimal control ⋮ A pointwise quasi-Newton method for unconstrained optimal control problems ⋮ A family of variable metric methods in function space, without exact line searches ⋮ A study of qualitative correlations between crucial bio-markers and the optimal drug regimen of Type I lepra reaction: a deterministic approach ⋮ A modified pseudospectral method for solving trajectory optimization problems with singular arc ⋮ Numerical methods of nonlinear optimal control based on mathematical programming ⋮ Comparison of optimization algorithms ⋮ A mixed-binary non-linear programming approach for the numerical solution of a family of singular optimal control problems ⋮ A real time learning algorithm for recurrent analog neural networks ⋮ A modified quasilinearization algorithm for the computation of optimal singular control ⋮ Interior point methods for optimal control of discrete time systems

Cites Work

• Unnamed Item
• Unnamed Item
• The conjugate gradient method for optimal control problems with bounded control variables
• Successive approximation methods for the solution of optimal control problems
• Computational schemes of the Davidon-Fletcher-Powell method in infinite- dimensional space
• Davidon’s Method in Hilbert Space
• Rocket trajectory optimization by a second- order numerical technique.
• Computational Experience with the Davidon Method Applied to Optimal Control Problems
• The Convergence of a Class of Double-rank Minimization Algorithms
• Necessary Conditions Joining Optimal Singular and Nonsingular Subarcs
• Efficient Implementations of the Polak–Ribière Conjugate Gradient Algorithm

This page was built for publication: Function-space quasi-Newton algorithms for optimal control problems with bounded controls and singular arcs