Description: Singular Trajectories and their Role in Control Theory by Bernard Bonnard, Monique Chyba The role of singular trajectories in control theory is analysed in this volume that contains about 60 exercieses and problems. The theoretical paart based on the Martinet case concerns the singulatrity analysis of singular trajectories in sub-Riemannian geometry. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description The role of singular trajectories in control theory is analysed in this volume that contains about 60 exercises and problems. A section is devoted to the applications of singular trajectories to the optimisation of batch reactors. The theoretical part based on the Martinet case concerns the singularity analysis of singular trajectories in sub-Riemannian geometry. An algorithm is given to evaluate conjugate points and a final chapter discusses open problems. The volume will interest mathematicians and engineers. Table of Contents Linear Systems and the Time Optimal Control Problem. - Exercises. - Optimal Control for Nonlinear Systems. - Exercises. - Geometric Optimal Control. - Exercises. - Singular Trajectories and Feedback Classification. - Exercises. - Controllability, Higher Order Maximum Principle, Legendre-Clebsch and Goh Necessary Optimality Conditions. - Exercises. - The Concept of Conjugate Points in the Time Minimal Control Problem for Singular Trajectories, C0-Optimality. - Time Minimal Control of Chemical Batch Reactors and Singular Trajectories. - Generic Properties of Singular Trajectories. - Exercises. - Singular Trajectories in Sub-Riemannian Geometry. - Exercises. - Micro-Local Resolution of the Singularity near a Singular Trajectory, Lagrangian Manifolds and Symplectic Stratifications. - Exercises. - Numerical Computations. - Conclusion and Perspectives. - Exercises. - References. - Index Review From the reviews:"This impressive book discusses the general theory of singular trajectories, and presents in detail a large number of important results … . The book is, however much broader and comprehensive than the title may suggest, and the authors have gone out of their way to make it accessible … . would be useful for a two-semester graduate course … . those who appreciate really deep mathematics, written with passion … will find this book rewarding and will read it … with enormous pleasure." (Héctor J. Sussmann, IEEE Transactions on Automatic Control, Vol. 50 (2), February, 2005)"This book presents a detailed and comprehensive account of singular trajectories and their ramifications in control theory and related areas of mathematics. … it may be suitable as a textbook in an advanced course on nonlinear control theory. … Along the way the authors review a considerable amount of standard material from nonlinear control theory, thereby making the book accessible and useful to neophytes as well as experts." (Kevin A. Grasse, Mathematical Reviews, 2004 f)"The book brings together a wealth of results on the topic of singular trajectories and its application, which for a large part was scattered up to now throughout the literature. Hence the book serves as a very valuable source of information for every researcher interested in these and related areas. Generally speaking, the book is well-accessible. … Summarizing, the book is a very welcome and useful addition to the literature, especially as a research monograph and source of information and inspiration." (A. J. Van der Schaft, Nieuw Archief voor Wiskunde, Vol. 8 (2), 2007) Promotional Springer Book Archives Review Text From the reviews: "This impressive book discusses the general theory of singular trajectories, and presents in detail a large number of important results a? . The book is, however much broader and comprehensive than the title may suggest, and the authors have gone out of their way to make it accessible a? . would be useful for a two-semester graduate course a? . those who appreciate really deep mathematics, written with passion a? will find this book rewarding and will read it a? with enormous pleasure." (Hctor J. Sussmann, IEEE Transactions on Automatic Control, Vol. 50 (2), February, 2005) "This book presents a detailed and comprehensive account of singular trajectories and their ramifications in control theory and related areas of mathematics. a? it may be suitable as a textbook in an advanced course on nonlinear control theory. a? Along the way the authors review a considerable amount of standard material from nonlinear control theory, thereby making the book accessible and useful to neophytes as well as experts." (Kevin A. Grasse, Mathematical Reviews, 2004 f) "The book brings together a wealth of results on the topic of singular trajectories and its application, which for a large part was scattered up to now throughout the literature. Hence the book serves as a very valuable source of information for every researcher interested in these and related areas. Generally speaking, the book is well-accessible. a? Summarizing, the book is a very welcome and useful addition to the literature, especially as a research monograph and source of information and inspiration." (A. J. Van der Schaft, Nieuw Archief voor Wiskunde, Vol. 8 (2), 2007) Review Quote From the reviews:"This impressive book discusses the general theory of singular trajectories, and presents in detail a large number of important results … . The book is, however much broader and comprehensive than the title may suggest, and the authors have gone out of their way to make it accessible … . would be useful for a two-semester graduate course … . those who appreciate really deep mathematics, written with passion … will find this book rewarding and will read it … with enormous pleasure." (Héctor J. Sussmann, IEEE Transactions on Automatic Control, Vol. 50 (2), February, 2005)"This book presents a detailed and comprehensive account of singular trajectories and their ramifications in control theory and related areas of mathematics. … it may be suitable as a textbook in an advanced course on nonlinear control theory. … Along the way the authors review a considerable amount of standard material from nonlinear control theory, thereby making the book accessible and useful to neophytes as well as experts." (Kevin A. Grasse, Mathematical Reviews, 2004 f)"The book brings together a wealth of results on the topic of singular trajectories and its application, which for a large part was scattered up to now throughout the literature. Hence the book serves as a very valuable source of information for every researcher interested in these and related areas. Generally speaking, the book is well-accessible. … Summarizing, the book is a very welcome and useful addition to the literature, especially as a research monograph and source of information and inspiration." (A. J. Van der Schaft, Nieuw Archief voor Wiskunde, Vol. 8 (2), 2007) Feature Includes supplementary material: sn.pub/extras Details ISBN3540008381 Author Monique Chyba Short Title SINGULAR TRAJECTORIES & THEIR Language English ISBN-10 3540008381 ISBN-13 9783540008385 Media Book Format Paperback Series Number 40 Year 2003 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Birth 1952 Pages 357 Illustrations XVI, 357 p. DOI 10.1007/b11084 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description 2003 ed. Series Mathématiques et Applications Edition 2003rd Publication Date 2003-05-12 DEWEY 515.64 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96276857;
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ISBN-13: 9783540008385
Book Title: Singular Trajectories and their Role in Control Theory
Number of Pages: 357 Pages
Language: English
Publication Name: Singular Trajectories and Their Role in Control Theory
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Publication Year: 2003
Subject: Computer Science, Mathematics
Item Height: 235 mm
Item Weight: 1170 g
Type: Textbook
Author: Bernard Bonnard, Monique Chyba
Item Width: 155 mm
Format: Paperback