Mathematical Systems Theory I: Modelling, State Space Analysis, Stability And Robustness - Couverture rigide

Hinrichsen, Diederich; Pritchard, Anthony J.

Couverture rigide

ISBN 10 : 3540441255 ISBN 13 : 9783540441250

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2004

Synopsis

This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. This first volume is devoted to the analysis of dynamical systems, whereas the second volume will be devoted to control. It combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions. It is accessible to mathematics students after two years of mathematics and graduate engineering students specializing in mathematical systems theory. The book is also suitable for established researchers in systems theory as well as those just beginning in the field.

A propos du livre

Présentation de l'éditeur

This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. This first volume is devoted to the analysis of dynamical systems with emphasis on problems of uncertainty, whereas the second volume will be devoted to control. It combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions. It is accessible to mathematics students after two years of mathematics and graduate engineering students specializing in mathematical systems theory. The reader is gradually brought to the frontiers of research in stability and robustness analysis. As such the book will be useful for established researchers in systems theory as well as mathematicians and engineers interested in the mathematical foundations of systems and control. From the reviews: "This textbook on finite-dimensional time-invariant linear systems theory . . . links up with the extensive research contributions of the authors, geared towards developing a spectral theory for uncertain systems. . . . is bound to become a standard textbook and reference in its area" M. Kawski, Mathematical Reviews, 2005 . . . the content ranges from rigorous proofs of basic results in linear systems theory to new results on the research frontier. In that sense, the book also serves as a valuable research reference" W. J. Satzer, MathDL, May, 2005 "I heartily recommend this book as a remarkably complete reference for researchers doing theoretical work involving linear systems. The book is a unique compilation of the mathematics underlying the field, and I look forward to seeing the authors' treatment of synthesis problems in the second volume" Brian Ingalls, IEEE Control Systems Magazine, April 2006 "MST-1 can be properly deemed an

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2004
• Langue: anglais
• ISBN 10: 3540441255
• ISBN 13: 9783540441250
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 804
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne