Accession Number:

AD0725094

Title:

The Perfect B-Splines and a Time-Optimal Control Problem.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Schoenberg.,I. J.

Report Date:

1971-03-01

Pagination or Media Count:

25.0

Abstract:

Let x sub nu cos pinun nu 0, 1, ..., n. It is shown that the B-spline Mx Mx x sub 0, x sub 1, ..., x sub n is such that M sub n, sup n x has a constant absolute value 2 to the power n-2 n-1 factorial in -1,1. Its integral f sub 0 x the integral from -1 to x Mtdt is shown to have an optimal property that allows to solve explicitly a certain time-optimal control problem. Author

Descriptors:

• (*APPROXIMATION(MATHEMATICS)
• FUNCTIONS(MATHEMATICS))
• (*INTERPOLATION
• FUNCTIONS(MATHEMATICS))
• ADAPTIVE CONTROL SYSTEMS
• MATHEMATICAL MODELS
• EQUATIONS OF MOTION
• OPTIMIZATION
• POLYNOMIALS
• THEOREMS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE