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Communications and Control Engineering

Complex Conjugate Matrix Equations for Systems and Control

Authors: Wu, Ai-Guo, Zhang, Ying

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  • Offers iterative solutions and explicit solutions for some complex conjugate matrix equations 
  • Observes the differences between the real/complex matrix equations and complex conjugate matrix equations 
  • Provides a full picture of this field for researchers and introduces some new concepts, such as conjugate products and con-­Sylvester-­sum as well
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  • ISBN 978-981-10-0637-1
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  • ISBN 978-981-10-9216-9
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About this book

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.

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)


Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-981-10-0637-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-981-10-0635-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-981-10-9216-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Complex Conjugate Matrix Equations for Systems and Control
Authors
Series Title
Communications and Control Engineering
Copyright
2017
Publisher
Springer Singapore
Copyright Holder
Springer Science+Business Media Singapore
eBook ISBN
978-981-10-0637-1
DOI
10.1007/978-981-10-0637-1
Hardcover ISBN
978-981-10-0635-7
Softcover ISBN
978-981-10-9216-9
Series ISSN
0178-5354
Edition Number
1
Number of Pages
XVIII, 487
Number of Illustrations
13 b/w illustrations
Topics

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