Robust Control Theory in Hilbert Space: 130 (Applied Mathematical Sciences, 130) - Hardcover

Buch 16 von 94: Applied Mathematical Sciences

Feintuch, Avraham

 
9780387982915: Robust Control Theory in Hilbert Space: 130 (Applied Mathematical Sciences, 130)
Hardcover
ISBN 10: 0387982914 ISBN 13: 9780387982915
Verlag: Springer, 1997

Inhaltsangabe

An operator theoretic approach to robust control analysis for linear time-varying systems, with the emphasis on the conceptual similarity with the H control theory for time-invariant systems. It clarifies the major difficulties confronted in the time varying case and all the necessary operator theory is developed from first principles, making the book as self-contained as possible. After presenting the necessary results from the theories of Toeplitz operators and nest algebras, linear systems are defined as input-output operators and the relationship between stabilisation and the existence of co-prime factorisations is described. Uniform optimal control problems are formulated as model-matching problems and are reduced to four block problems, while robustness is considered both from the point of view of fractional representations and the "time varying gap" metric, as is the relationship between these types of uncertainties. The book closes with the solution of the orthogonal embedding problem for time-varying contractive systems. As such, this book is useful to both mathematicians and to control engineers.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

An operator theoretic approach to robust control analysis for linear time-varying systems, with the emphasis on the conceptual similarity with the H control theory for time-invariant systems. It clarifies the major difficulties confronted in the time varying case and all the necessary operator theory is developed from first principles, making the book as self-contained as possible. After presenting the necessary results from the theories of Toeplitz operators and nest algebras, linear systems are defined as input-output operators and the relationship between stabilisation and the existence of co-prime factorisations is described. Uniform optimal control problems are formulated as model-matching problems and are reduced to four block problems, while robustness is considered both from the point of view of fractional representations and the "time varying gap" metric, as is the relationship between these types of uncertainties. The book closes with the solution of the orthogonal embedding problem for time-varying contractive systems. As such, this book is useful to both mathematicians and to control engineers.

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Verlag
Springer
Erscheinungsdatum
1997
Sprache
Englisch
ISBN 10 
0387982914
ISBN 13 
9780387982915
Einband
Tapa dura
Anzahl der Seiten
248
Herausgeber
John F., Sirovich L.
Kontakt zum Hersteller
Nicht verfügbar
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Weitere beliebte Ausgaben desselben Titels

9781461268291: Robust Control Theory in Hilbert Space (Applied Mathematical Sciences, Band 130)

Vorgestellte Ausgabe

ISBN 10:  146126829X ISBN 13:  9781461268291
Verlag: Springer, 2012
Softcover