Optimal control of dynamic systems and its application to spline approximation

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Title: Optimal control of dynamic systems and its application to spline approximation
Author: Agwu, Nwojo Nnanna
Abstract: 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 determined by the appropriate control data . It is shown that this technique is easy to implement . Several numerical and curve -fitting examples are given to illustrate the advantages of this technique over the classical approach . Finally , we discuss the convergence properties of the interpolant .
URI: http : / /hdl .handle .net /2346 /11264
Date: 1996-08

Citation

Agwu, Nwojo Nnanna Optimal control of dynamic systems and its application to spline approximation. Doctoral dissertation, Texas Tech University. Available electronically from http : / /hdl .handle .net /2346 /11264 .

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