Tautological Control Systems (SpringerBriefs in Electrical and Computer Engineering) - Softcover

Book 7 of 27: SpringerBriefs in Electrical and Computer Engineering

Lewis, Andrew D.

 
9783319086378: Tautological Control Systems (SpringerBriefs in Electrical and Computer Engineering)
Softcover
ISBN 10: 3319086375 ISBN 13: 9783319086378
Publisher: Springer, 2014

Synopsis

This brief presents a description of a new modelling framework for nonlinear/geometric control theory. The framework is intended to be—and shown to be—feedback-invariant. As such, Tautological Control Systems provides a platform for understanding fundamental structural problems in geometric control theory. Part of the novelty of the text stems from the variety of regularity classes, e.g., Lipschitz, finitely differentiable, smooth, real analytic, with which it deals in a comprehensive and unified manner. The treatment of the important real analytic class especially reflects recent work on real analytic topologies by the author. Applied mathematicians interested in nonlinear and geometric control theory will find this brief of interest as a starting point for work in which feedback invariance is important. Graduate students working in control theory may also find Tautological Control Systems to be a stimulating starting point for their research.

"synopsis" may belong to another edition of this title.

About the Author

Professor Lewis has worked in the areas of geometric mechanics and geometric control theory, lately the latter more so than the former. He is a recognised expert in geometric control theory. He has written many papers on geometric control theory and geometric mechanics, and has supervised five doctoral theses in these areas. He is the author of Geometric Control of Mechanical Systems, published by Springer and dealing with the interface of his two areas of expertise. Together with Manuel de Leon and Juan-Pablo Ortega, Professor Lewis started the Journal of Geometric Mechanics as a venue for publishing research in these areas.

From the Back Cover

This brief presents a description of a new modelling framework for nonlinear/geometric control theory. The framework is intended to be and shown to be feedback-invariant. As such, "Tautological Control Systems" provides a platform for understanding fundamental structural problems in geometric control theory. Part of the novelty of the text stems from the variety of regularity classes, e.g., Lipschitz, finitely differentiable, smooth, real analytic, with which it deals in a comprehensive and unified manner. The treatment of the important real analytic class especially reflects recent work on real analytic topologies by the author.
Applied mathematicians interested in nonlinear and geometric control theory will find this brief of interest as a starting point for work in which feedback invariance is important. Graduate students working in control theory may also find "Tautological Control Systems" to be a stimulating starting point for their research."

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2014
Language
English
ISBN 10 
3319086375
ISBN 13 
9783319086378
Binding
Paperback
Number of pages
130