Complex Conjugate Matrix Equations for Systems and Control (Communications and Control Engineering) - Hardcover
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THE BOOK IS THE FIRST BOOK ON COMPLEX MATRIX EQUATIONS INCLUDING THE CONJUGATE OF UNKNOWN MATRICES. THE STUDY OF THESE CONJUGATE MATRIX EQUATIONS IS MOTIVATED BY THE INVESTIGATIONS ON STABILIZATION AND MODEL REFERENCE TRACKING CONTROL FOR DISCRETE-TIME ANTILINEAR SYSTEMS, WHICH ARE A PARTICULAR KIND OF COMPLEX SYSTEM WITH STRUCTURE CONSTRAINTS. IT PROPOSES USEFUL APPROACHES TO OBTAIN ITERATIVE SOLUTIONS OR EXPLICIT SOLUTIONS FOR SEVERAL TYPES OF COMPLEX CONJUGATE MATRIX EQUATION. IT OBSERVES THAT THERE ARE SOME SIGNIFICANT DIFFERENCES BETWEEN THE REAL/COMPLEX MATRIX EQUATIONS AND THE COMPLEX CONJUGATE MATRIX EQUATIONS. FOR EXAMPLE, THE SOLVABILITY OF A REAL SYLVESTER MATRIX EQUATION CAN BE CHARACTERIZED BY MATRIX SIMILARITY; HOWEVER, THE SOLVABILITY OF THE CON-SYLVESTER MATRIX EQUATION IN COMPLEX CONJUGATE FORM IS RELATED TO THE CONCEPT OF CON-SIMILARITY. IN ADDITION, THE NEW CONCEPT OF CONJUGATE PRODUCT FOR COMPLEX POLYNOMIAL MATRICES IS ALSO PROPOSED IN ORDER TO ESTABLISH A UNIFIED APPROACH FOR SOLVING A TYPE OF COMPLEX MATRIX EQUATION.
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Críticas:
“The book is well organized and presents the most important notions of iterative solutions, explicit solutions and applications in systems and control. The book is suitable for senior undergraduate and graduate students as well as practical engineers, scientist and researchers interested in iterative, explicit solutions and of applications in systems and control.” (Seenith Sivasundaram, zbMATH 1371.15003, 2017)
Reseña del editor:
The book is the first book on complex matrix equations including the conjugate of unknown matrices. The study of these conjugate matrix equations is motivated by the investigations on stabilization and model reference tracking control for discrete-time antilinear systems, which are a particular kind of complex system with structure constraints. It proposes useful approaches to obtain iterative solutions or explicit solutions for several types of complex conjugate matrix equation. It observes that there are some significant differences between the real/complex matrix equations and the complex conjugate matrix equations. For example, the solvability of a real Sylvester matrix equation can be characterized by matrix similarity; however, the solvability of the con-Sylvester matrix equation in complex conjugate form is related to the concept of con-similarity. In addition, the new concept of conjugate product for complex polynomial matrices is also proposed in order to establish a unified approach for solving a type of complex matrix equation.
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- VerlagSpringer
- Erscheinungsdatum2016
- ISBN 10 9811006350
- ISBN 13 9789811006357
- EinbandTapa dura
- Auflage1
- Anzahl der Seiten508
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Complex Conjugate Matrix Equations for Systems and Control
Verlag:
Springer Singapore
(2016)
ISBN 10: 9811006350
ISBN 13: 9789811006357
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Hardcover
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Buchbeschreibung Gebunden. Zustand: New. Artikel-Nr. 117062142
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Complex Conjugate Matrix Equations for Systems and Control
Verlag:
Springer Nature Singapore
(2016)
ISBN 10: 9811006350
ISBN 13: 9789811006357
Neu
Hardcover
Anzahl: 1
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Bewertung
Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The book is the first book on complex matrix equations including the conjugate of unknown matrices. The study of these conjugate matrix equations is motivated by the investigations on stabilization and model reference tracking control for discrete-time antilinear systems, which are a particular kind of complex system with structure constraints. It proposes useful approaches to obtain iterative solutions or explicit solutions for several types of complex conjugate matrix equation. It observes that there are some significant differences between the real/complex matrix equations and the complex conjugate matrix equations. For example, the solvability of a real Sylvester matrix equation can be characterized by matrix similarity; however, the solvability of the con-Sylvester matrix equation in complex conjugate form is related to the concept of con-similarity. In addition, the new concept of conjugate product for complex polynomial matrices is also proposed in order to establish a unifiedapproach for solving a type of complex matrix equation. Artikel-Nr. 9789811006357
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