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Wu, Ai-Guo.

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Complex conjugate matrix equations for systems and control

Record Type:	Electronic resources : Monograph/item
Title/Author:	Complex conjugate matrix equations for systems and control/ by Ai-Guo Wu, Ying Zhang.
Author:	Wu, Ai-Guo.
other author:	Zhang, Ying.
Published:	Singapore :Springer Singapore : : 2017.,
Description:	xviii, 487 p. :ill., digital ;24 cm.
[NT 15003449]:	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 Approaches.
Contained By:	Springer eBooks
Subject:	Matrices. -
Online resource:	http://dx.doi.org/10.1007/978-981-10-0637-1
ISBN:	9789811006371

Complex conjugate matrix equations for systems and control
Wu, Ai-Guo.

Complex conjugate matrix equations for systems and control[electronic resource] /by Ai-Guo Wu, Ying Zhang. - Singapore :Springer Singapore :2017. - xviii, 487 p. :ill., digital ;24 cm. - Communications and control engineering,0178-5354. - Communications and control engineering..

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 Approaches.

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.

ISBN: 9789811006371

Standard No.: 10.1007/978-981-10-0637-1doiSubjects--Topical Terms:

516894
Matrices.

LC Class. No.: QA188

Dewey Class. No.: 512.9434

Complex conjugate matrix equations for systems and control
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245 1 0 $a Complex conjugate matrix equations for systems and control $h [electronic resource] / $c by Ai-Guo Wu, Ying Zhang.
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300 $a xviii, 487 p. : $b ill., digital ; $c 24 cm.
490 1 $a Communications and control engineering, $x 0178-5354
505 0 $a 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 Approaches.
520 $a 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.
650 0 $a Matrices. $3 516894
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Systems Theory, Control. $3 893834
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 890892
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 891082
650 2 4 $a Control. $3 1006321
700 1 $a Zhang, Ying. $3 1035770
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Communications and control engineering. $3 1566566
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-0637-1
950 $a Engineering (Springer-11647)