Automatic solution of optimal-control problems. I. Simplest problem in the calculus of variations

DOI10.1016/0096-3003(84)90034-1zbMath0554.65047OpenAlexW2077678113MaRDI QIDQ760176

Robert E. Kalaba, Karl Spingarn

Publication date: 1984

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(84)90034-1

zbMATH Keywords

calculus of variationsNewton-Raphson algorithmautomatic calculation of derivativesEuler-Lagrange boundary-value problemstable method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical differentiation (65D25)

Related Items (1)

Automatic solution of optimal-control problems. IV. Gradient method

Cites Work

• Control, identification, and input optimization
• A simple automatic derivative evaluation program
• Wengert's numerical method for partial derivatives, orbit determination and quasilinearization
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