Optimal control of dynamic systems: Application to spline approximations

@article{Agwu1998OptimalCO,
title={Optimal control of dynamic systems: Application to spline approximations},
author={Nwojo N. Agwu and Clyde F. Martin},
journal={Applied Mathematics and Computation},
year={1998},
volume={97},
pages={99-138}
}

Generally, classical polynomial splines tend to exhibit unwanted undulations. In this work, we discuss a technique, based on control principles, for eliminating these undulations and increasing the smoothness properties of the spline interpolants. We give a generalization of the classical polynomial splines and show that this generalization is, in fact, a family of splines that covers the broad spectrum of polynomial, trigonometric and exponential splines. A particular element in this family is… CONTINUE READING