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Complex conjugate matrix equations for systems and control

Record Type:	Language materials, printed : 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.;
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:

528174
Matrices.

LC Class. No.: QA188

Dewey Class. No.: 512.9434

Complex conjugate matrix equations for systems and control
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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.
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