Complex Conjugate Matrix Equations for Systems and Control

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Mathematics, Applied, Reference & Language, Reference
Cover of the book Complex Conjugate Matrix Equations for Systems and Control by Ai-Guo Wu, Ying Zhang, Springer Singapore
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ai-Guo Wu, Ying Zhang ISBN: 9789811006371
Publisher: Springer Singapore Publication: August 8, 2016
Imprint: Springer Language: English
Author: Ai-Guo Wu, Ying Zhang
ISBN: 9789811006371
Publisher: Springer Singapore
Publication: August 8, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Singapore

Cover of the book Proceedings of the International Conference on Intelligent Systems and Signal Processing by Ai-Guo Wu, Ying Zhang
Cover of the book Evolutionary Approach to Machine Learning and Deep Neural Networks by Ai-Guo Wu, Ying Zhang
Cover of the book Economic Impacts of Intellectual Property-Conditioned Government Incentives by Ai-Guo Wu, Ying Zhang
Cover of the book Reconceptualizing English Education in a Multilingual Society by Ai-Guo Wu, Ying Zhang
Cover of the book Multi-layer Pavement System under Blast Load by Ai-Guo Wu, Ying Zhang
Cover of the book Solar Desalination Technology by Ai-Guo Wu, Ying Zhang
Cover of the book Watermarking Security by Ai-Guo Wu, Ying Zhang
Cover of the book Geological Disaster Monitoring Based on Sensor Networks by Ai-Guo Wu, Ying Zhang
Cover of the book Relaxation of the Chemical Bond by Ai-Guo Wu, Ying Zhang
Cover of the book Micro-electrical Discharge Machining Processes by Ai-Guo Wu, Ying Zhang
Cover of the book Economic Foundations for Social Complexity Science by Ai-Guo Wu, Ying Zhang
Cover of the book China and the International Criminal Court by Ai-Guo Wu, Ying Zhang
Cover of the book TA-Q-BIN by Ai-Guo Wu, Ying Zhang
Cover of the book Single-Molecule Electronics by Ai-Guo Wu, Ying Zhang
Cover of the book The Southeast Asian Woman Writes Back by Ai-Guo Wu, Ying Zhang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy