Control Theoretic Splines: Optimal Control, Statistics, and Path Planning

Book Details

• Publisher: Princeton University Press

• Author: Magnus Egerstedt

• Language: English

• Edition: 1

• ISBN: 9780691132969

• Pages: 232

• Cover: Hardcover

• Dimensions: 9.4 x 6.3 x 0.7 inches

About The Book
Control-Theoretic Splines by Magnus Egerstedt and Clyde Martin is a groundbreaking work that unifies the theory of splines with control theory in a comprehensive and accessible manner. The book explores both interpolatory and smoothing splines, bridging their rich history with modern control systems. Egerstedt and Martin present a powerful mathematical framework that links various problems—ranging from path planning and statistics to approximation—through the lens of optimization in vector spaces.

Through their unique approach, the authors show how these problems naturally arise in linear control systems. They cover a variety of spline types, including periodic, monotone, and splines with inequality constraints, while also explaining how linear constraints can be added to the system. The book delves into the connections between control theory, numerical analysis, and statistics, providing a valuable set of analytical tools for applications in robotics, computer graphics, engineering, and more.

This multidisciplinary work is an essential read for anyone in the fields of control theory, robotics, engineering, econometrics, and beyond, offering clear, organized, and enjoyable reading for students and professionals alike.