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Bücher Englische Bücher Mathematical Systems Theory II
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Mathematical Systems Theory II
Diederich Hinrichsen, Anthony J. Pritchard, Fritz Colonius, Tobias Damm, Achim Ilchmann, Birgit Jacob, Fabian R. Wirth (Gebundene Ausgabe, Englisch)
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Beschreibung
This is the second volume of a three-volume treatise which presents the mathematical foundations of systems and control theory in a self-contained, comprehensive, detailed and mathematically rigorous way. The work combines the features of a detailed introductory textbook with those of a reference source.
Volume II concentrates on problems of control, measurement and feedback control for… time-varying and time-invariant linear systems. Special features are:
• a comprehensive treatment of controllability and observability
• an analysis of reachable sets under bounded controls with applications to the time-optimal control problem
• a detailed construction of canonical forms for controllable systems under similarity transformations, including an application of these forms to the topological analysis of system spaces
• a new module-theoretic approach to Rosenbrock systems in time domain
• an introduction to balancing and model reduction by balanced truncation
• an introduction to a general feedback control theory of input-output systems
• a detailed treatment of stabilization and observation problems for time-invariant linear systems
• a self-contained proof of Rosenbrock’s theorem by state space methods.
Throughout the book there are many examples, figures and exercises illustrating the text which help bring out the intuitive ideas behind the mathematical constructions. The book should be accessible to mathematics students after two years of study and also to engineering students with a good mathematical background. It will be of value for researchers in systems theory as well as for mathematicians and engineers who wish to learn about the mathematical foundations of the above topics. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
23.01.2026
Sprache
Englisch
EAN
9783032083197
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Texts in Applied Mathematics
Sonderedition
Nein
Autor
Diederich Hinrichsen, Anthony J. Pritchard, Fritz Colonius, Tobias Damm, Achim Ilchmann, Birgit Jacob, Fabian R. Wirth
Seitenanzahl
849
Einbandart
Gebundene Ausgabe
Buch Untertitel
Control, Observation, Realization, and Feedback
Schlagwörter
systems control, applications of mathematics, linear and multilinear algebra, calculus of variations, ordinary differential equations
Thema-Inhalt
GPFC - Kybernetik und Systemtheorie
PBF - Algebra
PBK - Mathematische Analysis, allgemein
PBU - Optimierung
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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