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Perfect splines and nonlinear optimal control theory. (English) Zbl 0408.41005


MSC:

41A15 Spline approximation
49K15 Optimality conditions for problems involving ordinary differential equations
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[1] Aronsson, G., Minimization problems for the functional \(supxF(x, ƒ(x), ƒ′(x)), I\), Ark. Mat., 6, 33-53 (1965) · Zbl 0156.12502
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[15] Lee, E. B.; Markus, L., Foundations of Optimal Control Theory (1967), Wiley: Wiley New York · Zbl 0159.13201
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[17] McClure, D. E., Perfect spline solutions of \(L^∞\) extremal problems by control methods, J. Approximation Theory, 15, 226-242 (1975) · Zbl 0314.41006
[18] Pontryagin, L. S.; Boltyanskii, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F., The Mathematical Theory of Optimal Processes (1962), Wiley: Wiley New York · Zbl 0102.32001
[19] Reid, W. T., Ordinary linear differential operators of minimum norm, Duke Math. J., 29, 591-606 (1962) · Zbl 0171.35001
[20] Schoenberg, I. J., The perfect \(B\)-splines and a time optimal control problem, Israel J. Math., 10, 275-291 (1971) · Zbl 0273.41006
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