Control theoretic splines optimal control, statistics, and path planning (princeton series in applied mathematics).

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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Hlavní autoři: Egerstedt, Magnus, Martin, Clyde
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: Princeton Princeton University Press 2010
Vydání:1
Edice:Princeton Series in Applied Mathematics
Témata:
Curve fitting
Interpolation
Mathematics
Smoothing (Numerical analysis)
Smoothing (Statistics)
Spline theory
Splines
ISBN:0691132968, 9780691132969
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  • Control theoretic splines: optimal control, statistics, and path planning (princeton series in applied mathematics) -- 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
  • Front Matter Table of 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
  • Cover -- Series Information -- Title Page -- Copyright Information -- Table of Content -- Preface -- Chapter One -- 1.1 -- 1.2 -- 1.3 -- 1.4 -- 1.5 -- Chapter Two -- 2.1 -- 2.2 -- 2.3 -- 2.4 -- 2.5 -- Chapter Three -- 3.1 -- 3.2 -- 3.3 -- 3.4 -- 3.5 -- 3.6 -- 3.7 -- Summary -- Chapter Four -- 4.1 -- 4.2 -- 4.3 -- 4.4 -- Summary -- Chapter Five -- 5.1 -- 5.2 -- 5.3 -- 5.4 -- 5.5 -- Summary -- Chapter Six -- 6.1 -- 6.2 -- 6.3 -- 6.4 -- 6.5 -- 6.6 -- Summary -- Chapter Seven -- 7.1 -- 7.2 -- 7.3 -- 7.4 -- 7.5 -- Summary -- Chapter Eight -- 8.1 -- 8.2 -- 8.3 -- 8.4 -- Summary -- Chapter Nine -- 9.1 -- 9.2 -- 9.3 -- 9.4 -- Summary -- Chapter Ten -- 10.1 -- 10.2 -- 10.3 -- 10.4 -- Summary -- Chapter Eleven -- 11.1 -- 11.2 -- 11.3 -- 11.4 -- Summary -- Bibliography -- Index