The Perfect B-Splines and a Time-Optimal Control Problem.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
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
- Numerical Mathematics