4 edition of **Control theoretic splines** found in the catalog.

Control theoretic splines

Magnus Egerstedt

- 338 Want to read
- 15 Currently reading

Published
**2010**
by Princeton University Press in Princeton
.

Written in English

- Interpolation,
- Smoothing (Numerical analysis),
- Smoothing (Statistics),
- Curve fitting,
- Splines,
- Spline theory

**Edition Notes**

Includes bibliographical references and index.

Statement | Magnus Egerstedt and Clyde Martin. |

Series | Princeton series in applied mathematics |

Contributions | Martin, Clyde. |

Classifications | |
---|---|

LC Classifications | QA297.6 .E44 2010 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL23697080M |

ISBN 10 | 9780691132969 |

LC Control Number | 2009034177 |

In the mathematical subfield of numerical analysis, a B-spline or basis spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of given degree can be expressed as a linear combination of B-splines of that degree. Cardinal B-splines have knots that are equidistant from each other. "This book is a classic reference in spline theory. It will be of great benefit to students as an introduction to the subject as well as to experts in the field." (Gerlind Plonka-Hoch, Mathematical Reviews, Issue f) "This book is a classical one with respect to calculating polynomial splines. The author is an outstanding spline s: 9.

In this paper the connections between the theory of B-splines and control theoretic or dynamic splines are examined. The theory of B-splines is a welldeveloped areaof applied numericalanal-ysis and interpolationtheory, and the use of B-splines rivals thatof Bezier curves in applicability to computer graphics and approximation theory. Spline spaces on TR-meshes with hanging vertices, with Lujun Wang, Numer. Math. (), Contact me for a reprint. Convexity preserving splines over triangulations, with H. Speleers, CAGD 28 (), Contact me for a reprint.

Volume , Issues 2–3, 25 December , Pages B-splines and control theory. Author links open overlay panel Hiroyuki Kano a Magnus Egerstedt b . T-spline is a mathematical model for defining freeform surfaces in computer graphics. A T-spline surface is a type of NURBS surface defined by a network of control points where a row of control points is allowed to terminate without traversing the entire surface. The control net at a terminated row resembles the letter "T". Modeling surfaces with T-splines can reduce the number of control.

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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 by: 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 Released on: Decem 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. Control Theoretic Splines: Optimal Control, Statistics, and Path Planning - Ebook written by Magnus Egerstedt, Clyde Martin. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Control Theoretic Splines: Optimal Control, Statistics, and Path Planning. 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 Released on: Febru Control Theoretic Splines: Optimal Control, Statistics, and Path Planning (Princeton Series in Applied Mathematics) Cotton: Science and Technology (Woodhead Publishing in Textiles) Creative Self-Hypnosis: New, Wide-Awake, Nontrance Techniques to Empower Your Life, Work, and Relationships.

Abstract: In this paper, we develop a method for designing optimal smoothing spline with constraints on its derivatives. A linear control system is used as a spline generator. Employing the results developed in the B-spline approach, we show that equality or inequality constraints on spline and its derivative over interval can be expressed as constraint on the control input and.

Egerstedt, Magnus / Martin, Clyde Control Theoretic Splines Optimal Control, Statistics, and Path Planning. splines include [26]. Until recently, little work had been done on periodic, control theoretic smoothing splines.

Notable contributions have however emerged during the past few years. [28] studies applications of control theoretic smoothing splines to mo-bile robotics, and poses a problem where the periodicity constraint depends on input data.

"This book is a classical one with respect to calculating polynomial splines. The author is an outstanding spline expert. Thus the book ought to belong to every university library and to anyone interested in spline theory and applications." (Helmuth Späth, Zentralblatt MATH, Vol. (12), ). Control Theoretic Splines: Optimal Control, Statistics, and Path Planning, Hardcover by Egerstedt, Magnus; Martin, Clyde, ISBNISBNBrand New, Free shipping in the US "This book is an excellent resource for students and professionals in control theory, robotics, engineering, computer graphics, econometrics, and any area that.

1. Introduction. In this paper the connections between the theory of B-splines and control theoretic or dynamic splines are examined. The theory of B-splines is a well developed area of applied numerical analysis and interpolation theory, and the use of B-splines rivals that of Bezier curves in applicability to computer graphics and approximation theory (see for example.

Part of the Progress in Systems and Control Theory book series (PSCT, volume 20) Abstract Spline techniques have the advantage over most approximation and interpolation techniques in that they are computationally feasible. Robot arms are found in almost every modern manufacturing plant in the world, but their limited dexterity creates problems for their efficient control.

Understanding these problems in advance is vital in robotic design. This book concerns itself with the theory and practice of these control problems.

It will be of great interest to all robotic researchers and. Get this from a library. Control theoretic splines: optimal control, statistics, and path planning. [Magnus Egerstedt; Clyde Martin] -- "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.

Thus splines have been studied extensively (e.g. (Wahba, )), and in particular, the theory of 'dynamic splines' based on optimal control theory. In Egerstedt and Martins book [1] a lot of re-search in the area of constructing control theoretic splines is presented.

Among other things Egerstedt and Martin constructed smoothing splines on the sphere. Primarily [1] is the basic reference to all the material in the ﬁrst part of this paper.

The Matlab code used to generate the smoothing spline. book will later be considered as the ﬁrst book on the topic, not the most readable or accessible. The background required of the reader is knowledge of basic system and control theory and an exposure to optimization. Sontag’s book Mathematical Control The-ory [Son90] is an excellent survey.

Further background material is covered in the. The Introduction of Control Theory 4 Applications 7 Topical Outline of the Book 8.

Chapter 2: CONTROL SYSTEMS AND MINIMUM NORM PROBLEMS 11 Linear Control Systems 11 Hilbert Spaces 14 The Projection Theorem 15 Optimization and Gateaux Derivatives 18 The Point-to-Point Transfer Problem Chapter 3: EIGHT.

Search the world's most comprehensive index of full-text books. My library. In mathematics, a spline is a special function defined piecewise by interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields similar results, even when using low degree polynomials, while avoiding Runge's phenomenon for higher degrees.

In the computer science subfields of computer-aided design and computer. Got lots of free time right now so thinking of picking up a control theory book. The names seems to imply classical was used long ago, is it still relevant?

For context: hope to put what I learnt into some hobby projects like autopilot for rc aircraft, etc. Many thanks (googled it but answers seem conflicting) 8.splines include [26].

Until recently, little work had been done on periodic control theoretic smoothing splines. Notable contributions have however emerged during the past few years.

[28] studies applications of control theoretic smoothing splines to mo-bile robotics, and poses a problem where the periodicity constraint depends on input data.