Abstract estimates of the rate of convergence for optimal control problems

DOI10.1007/BF02683339zbMath0878.65056OpenAlexW2103612847MaRDI QIDQ1363641

T. Kärkäinen, T. Räisänen

Publication date: 5 January 1998

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

Full work available at URL: https://doi.org/10.1007/bf02683339

zbMATH Keywords

continuation methoddirect methodpenalty function methodconstrained optimal controldifferential-algebraic boundary value problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Existence theories for problems in abstract spaces (49J27)

Uses Software

• LBFGS-B

Cites Work

• Approximation of a class of optimal control problems with order of convergence estimates
• Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems
• Estimation techniques for distributed parameter systems
• Ritz–Galerkin Approximation of the Time Optimal Boundary Control Problem for Parabolic Systems with Dirichlet Boundary Conditions
• Simultaneous Approximation in Scales of Banach Spaces
• A Limited Memory Algorithm for Bound Constrained Optimization
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