Sparse Jacobian updates in the collocation method for optimal control problems

DOI10.2514/3.25352zbMath0704.49026OpenAlexW2053049052MaRDI QIDQ3483923

John T. Betts

Publication date: 1990

Published in: Journal of Guidance, Control, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.25352

zbMATH Keywords

two-point boundary-value problemnonlinear algebraic equationscubic polynomial interpolationsparse Broyden updates

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Numerical computation of solutions to systems of equations (65H10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items

A sweeping gradient method for ordinary differential equations with events ⋮ Direct shooting method for the numerical solution of higher-index DAE optimal control problems ⋮ Review of formulations for structural and mechanical system optimization ⋮ GPOPS-II