Perfect spline solutions of \(L_\infty\) extremal problems by control methods

DOI10.1016/0021-9045(75)90105-7zbMath0314.41006OpenAlexW2065835228MaRDI QIDQ1220659

Donald E. McClure

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-9045(75)90105-7

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (5)

Structure and classification results for the ∞-elastica problem ⋮ Markov-Dubins interpolating curves ⋮ Uniqueness of optimal controls in \(L^\infty\) ⋮ Perfect splines and nonlinear optimal control theory ⋮ Linear control theory applied to a minimum-maximum problem

Cites Work

• Perfect spline solutions to \(L^\infty\) extremal problems
• The perfect B-splines and a time-optimal control problem
• Functional analysis and time optimal control
• Prolongement extremal de fonctions différentiables d'une variable
• The Existence, Characterization and Essential Uniqueness of Solutions of L ∞ Extremal Problems
• Some variational problems on certain Sobolev spaces and perfect splines
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