The projection operator applied to gradient methods for solving optimal control problems with terminal state constraints

DOI10.1080/00207727308919994zbMath0249.49020OpenAlexW2064939856MaRDI QIDQ5663007

John K. Willoughby, Bion L. Pierson

Publication date: 1973

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207727308919994

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Mathematical programming (90C99) Controllability, observability, and system structure (93B99)

Cites Work

• Sequential gradient-restoration algorithm for the minimization of constrained functions. Ordinary and conjugate gradient versions
• New second-order and first-order algorithms for determining optimal control: A differential dynamic programming approach
• The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints
• A Steepest-Ascent Method for Solving Optimum Programming Problems
• Function minimization by conjugate gradients
• Davidon’s Method in Hilbert Space
• Computational Experience with the Davidon Method Applied to Optimal Control Problems
• A constraint-space conjugate gradient method for function minimization and optimal control problems†

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