Complex Conjugate Matrix Equations for Systems and Control / by Ai-Guo Wu, Ying Zhang

By:

Wu, Ai-Guo [aut]

Contributor(s):

Zhang, Ying [oth]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Communications and Control Engineering | SpringerLink Bücher | Springer eBook Collection EngineeringPublisher: Singapore : Springer, 2017Description: Online-Ressource (XVIII, 487 p. 13 illus, online resource)ISBN:

9789811006371

Subject(s):

Additional physical formats: 9789811006357 | Druckausg.: 978-981-10-0635-7 | Printed edition: 9789811006357 MSC: MSC: *15-02 | 15A24 | 93-02 | 93C05 | 93B52 | 65F10 | 65F30 | 65K10 | 15A06 | 15A60 | 93C55 | 93E15LOC classification:

Q295 QA402.3-402.37
Q295
QA402.3-402.37

DOI: DOI: 10.1007/978-981-10-0637-1Online resources:

Summary: 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 equationSummary: Introduction -- Mathematical Prelimilaries -- Iterative Approaches -- Finite Iterative Approaches -- Real Representations Based Approaches.-Polynomial Matrices Based Approaches -- Standard Linear Equations Based Approaches -- Conjugate Products -- Con-Sylvester Sums Based ApproachesPPN: PPN: 1658611942Package identifier: Produktsigel: ZDB-2-ENG

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