Perfect splines and nonlinear optimal control theory

DOI10.1016/0021-9045(79)90004-2zbMath0408.41005OpenAlexW2019663884MaRDI QIDQ1258475

Gunnar Aronsson

Publication date: 1979

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90004-2

zbMATH Keywords

Boundary ConditionsDiscontinuous Piece-Wise ConinuityNonlinear Optimal Control TheoryNonlinear Optimal MinimumPerfect Splines

Mathematics Subject Classification ID

Spline approximation (41A15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (3)

Markov-Dubins interpolating curves ⋮ Linear control theory applied to a minimum-maximum problem ⋮ Necessary conditions for the existence of a minimum in \(L_{\infty}\) for certain functionals

Cites Work

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• Minimization problems for the functional \(\displaystyle{\sup_x}\, F(x,f(x),f'(x))\). I, II
• Ordinary linear differential operators of minimum norm
• Minimization problems for functional supF(x, f(x), f'(x)). III
• Disconjugacy
• Prolongement extremal de fonctions différentiables d'une variable
• A Minimum-Maximum Problem for Differential Expressions
• The Existence, Characterization and Essential Uniqueness of Solutions of L ∞ Extremal Problems
• On Disconjugacy Criteria
• Pontryagin's Maximum Principle and a Minimax Problem.
• Some variational problems on certain Sobolev spaces and perfect splines

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