Control Theoretic Splines : : Optimal Control, Statistics, and Path Planning / / Clyde Martin, Magnus Egerstedt.

Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear con...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Series in Applied Mathematics eBook-Package
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2009]
©2010
Year of Publication:2009
Edition:Course Book
Language:English
Series:Princeton Series in Applied Mathematics ; 29
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Physical Description:1 online resource (232 p.) :; 31 line illus.
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Chapter One. Introduction
  • Chapter Two. Control Systems and Minimum Norm Problems
  • Chapter Three. Eight Fundamental Problems
  • Chapter Four. Smoothing Splines and Generalizations
  • Chapter Five. Approximations and Limiting Concepts
  • Chapter Six. Smoothing Splines with Continuous Data
  • Chapter Seven. Monotone Smoothing Splines
  • Chapter Eight. Smoothing Splines as Integral Filters
  • Chapter Nine. Optimal Transfer between Affine Varieties
  • Chapter Ten. Path Planning and Telemetry
  • Chapter Eleven. Node Selection
  • Bibliography
  • Index