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.
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Descrizione libro Condizione: New. Codice articolo 5017960-n
Descrizione libro HRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo WP-9780691132969
Descrizione libro Condizione: New. 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 various methods and applications to show how they arise naturally in the theory of linear control systems. Series: Princeton Series in Applied Mathematics. Num Pages: 232 pages, 31 line illus. BIC Classification: PBC; PBW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 241 x 161 x 18. Weight in Grams: 466. . 2009. Hardcover. . . . . Codice articolo V9780691132969
Descrizione libro Hardcover. Condizione: new. This item is printed on demand. Codice articolo 9780691132969
Descrizione libro Hardback. Condizione: New. New copy - Usually dispatched within 4 working days. 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 various methods and applications to show how they arise naturally in the theory of linear control systems. Codice articolo B9780691132969
Descrizione libro Condizione: New. Codice articolo 5017960-n
Descrizione libro hardback. Condizione: New. Language: ENG. Codice articolo 9780691132969
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Descrizione libro HRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo WP-9780691132969