Complex Conjugate Matrix Equations For Systems And Control by Ai-guo WuComplex Conjugate Matrix Equations For Systems And Control by Ai-guo Wu

Complex Conjugate Matrix Equations For Systems And Control

byAi-guo Wu, Ying Zhang

Hardcover | August 17, 2016

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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.
Title:Complex Conjugate Matrix Equations For Systems And ControlFormat:HardcoverDimensions:487 pages, 23.5 × 15.5 × 0.03 inPublished:August 17, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9811006350

ISBN - 13:9789811006357

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Table of Contents

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.

Editorial Reviews

"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)