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A State Space Approach to Canonical Factorization with Applications: 200 (Operator Theory: Advances and Applications) - Tapa dura
Sinopsis
The present book deals with canonical factorization problems for di?erent classes of matrix and operator functions. Such problems appear in various areas of ma- ematics and its applications. The functions we consider havein common that they appear in the state space form or can be represented in such a form. The main results are all expressed in terms of the matrices or operators appearing in the state space representation. This includes necessary and su?cient conditions for canonical factorizations to exist and explicit formulas for the corresponding f- tors. Also, in the applications the entries in the state space representation play a crucial role. Thetheorydevelopedinthebookisbasedonageometricapproachwhichhas its origins in di?erent ?elds. One of the initial steps can be found in mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a factorization of the associated transfer function. Canonical factorization has a long and interesting history which starts in the theory of convolution equations. Solving Wiener-Hopf integral equations is closely related to canonical factorization. The problem of canonical factorization also appears in other branches of applied analysis and in mathematical systems theory, in H -control theory in particular.
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“This monograph develops a theory of canonical factorizations for various classes of matrix and operator functions, where the functions are represented in the form of a transfer function of an input-state-output linear system. ... The book is self-contained and accessible for specialists in different areas of mathematics, science, and engineering.” (Dmitry Kaliuzhnyi-Verbovetskyi, Zentralblatt MATH, Vol. 1203, 2011)Reseña del editor
The present book deals with canonical factorization of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations. A large part the book deals with rational matrix functions only.
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A State Space Approach to Canonical Factorization with Applications.
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Basel, Birkhäuser., 2010
ISBN 10: 3764387521
ISBN 13: 9783764387525
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xii, 423p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Stamped. Operator Theory Advances and Applications Vol. 200. Sprache: Englisch. Nº de ref. del artículo: 5374GB
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A State Space Approach to Canonical Factorization with Applications
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Birkhäuser Basel, 2010
ISBN 10: 3764387521
ISBN 13: 9783764387525
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A State Space Approach to Canonical Factorization with Applications
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The state space factorization method is systematically used and developed further for various classes of matrix and operator functionsEmphasis is put on canonical factorization problems, including spectral and J-spectral factorizations problems an. Nº de ref. del artículo: 5279932
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A State Space Approach to Canonical Factorization with Applications (Operator Theory: Advances and Applications, 200)
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A State Space Approach to Canonical Factorization with Applications
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Springer, Basel, Birkhäuser Basel, Birkhäuser Apr 2010, 2010
ISBN 10: 3764387521
ISBN 13: 9783764387525
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The present book deals with canonical factorization problems for di erent classes of matrix and operator functions. Such problems appear in various areas of ma- ematics and its applications. The functions we consider havein common that they appear in the state space form or can be represented in such a form. The main results are all expressed in terms of the matrices or operators appearing in the state space representation. This includes necessary and su cient conditions for canonical factorizations to exist and explicit formulas for the corresponding f- tors. Also, in the applications the entries in the state space representation play a crucial role. Thetheorydevelopedinthebookisbasedonageometricapproachwhichhas its origins in di erent elds. One of the initial steps can be found in mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a factorization of the associated transfer function. Canonical factorization has a long and interesting history which starts in the theory of convolution equations. Solving Wiener-Hopf integral equations is closely related to canonical factorization. The problem of canonical factorization also appears in other branches of applied analysis and in mathematical systems theory, in H -control theory in particular. 432 pp. Englisch. Nº de ref. del artículo: 9783764387525
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A State Space Approach to Canonical Factorization with Applications
Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The present book deals with canonical factorization problems for di erent classes of matrix and operator functions. Such problems appear in various areas of ma- ematics and its applications. The functions we consider havein common that they appear in the state space form or can be represented in such a form. The main results are all expressed in terms of the matrices or operators appearing in the state space representation. This includes necessary and su cient conditions for canonical factorizations to exist and explicit formulas for the corresponding f- tors. Also, in the applications the entries in the state space representation play a crucial role. Thetheorydevelopedinthebookisbasedonageometricapproachwhichhas its origins in di erent elds. One of the initial steps can be found in mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a factorization of the associated transfer function. Canonical factorization has a long and interesting history which starts in the theory of convolution equations. Solving Wiener-Hopf integral equations is closely related to canonical factorization. The problem of canonical factorization also appears in other branches of applied analysis and in mathematical systems theory, in H -control theory in particular. Nº de ref. del artículo: 9783764387525
Cantidad disponible: 1 disponibles
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A State Space Approach to Canonical Factorization with Applications
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Birkhäuser Basel, Springer Basel Apr 2010, 2010
ISBN 10: 3764387521
ISBN 13: 9783764387525
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Neuware -The present book deals with canonical factorization problems for di erent classes of matrix and operator functions. Such problems appear in various areas of ma- ematics and its applications. The functions we consider havein common that they appear in the state space form or can be represented in such a form. The main results are all expressed in terms of the matrices or operators appearing in the state space representation. This includes necessary and su cient conditions for canonical factorizations to exist and explicit formulas for the corresponding f- tors. Also, in the applications the entries in the state space representation play a crucial role. Thetheorydevelopedinthebookisbasedonageometricapproachwhichhas its origins in di erent elds. One of the initial steps can be found in mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a factorization of the associated transfer function. Canonical factorization has a long and interesting history which starts in the theory of convolution equations. Solving Wiener-Hopf integral equations is closely related to canonical factorization. The problem of canonical factorization also appears in other branches of applied analysis and in mathematical systems theory, in H -control theory in particular.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 440 pp. Englisch. Nº de ref. del artículo: 9783764387525
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A State Space Approach to Canonical Factorization with Applications (Operator Theory: Advances and Applications, 200)
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A State Space Approach to Canonical Factorization with Applications
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Condición: New. pp. 436. Nº de ref. del artículo: 261375150
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A State Space Approach to Canonical Factorization with Applications
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Condición: New. Print on Demand pp. 436. Nº de ref. del artículo: 6505585
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