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Control Theoretic Splines: Optimal Control, Statistics, and Path Planning by Magnus Egerstedt, Clyde Martin (Hardcover, 2009)
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About this product
Product Information
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 control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse applications within a common framework. In this book, they begin with a series of problems ranging from path planning to statistics to approximation. Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these problems are part of the same general mathematical framework, and how they are all, to a certain degree, a consequence of the optimization problem of finding the shortest distance from a point to an affine subspace in a Hilbert space. They cover periodic splines, monotone splines, and splines with inequality constraints, and explain how any finite number of linear constraints can be added. This book reveals how the many natural connections between control theory, numerical analysis, and statistics can be used to generate powerful mathematical and analytical tools. This book is an excellent resource for students and professionals in control theory, robotics, engineering, computer graphics, econometrics, and any area that requires the construction of curves based on sets of raw data.Product Identifiers
PublisherPrinceton University Press
ISBN-139780691132969
eBay Product ID (ePID)87153444
Product Key Features
Number of Pages232 Pages
Publication NameControl Theoretic Splines: Optimal Control, Statistics, and Path Planning
LanguageEnglish
SubjectMathematics
Publication Year2009
TypeTextbook
AuthorMagnus Egerstedt, Clyde Martin
SeriesPrinceton Series in Applied Mathematics
FormatHardcover
Dimensions
Item Height235 mm
Item Weight454 g
Item Width152 mm
Additional Product Features
Country/Region of ManufactureUnited States
Title_AuthorClyde Martin, Magnus Egerstedt
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