书目名称 | Complex Conjugate Matrix Equations for Systems and Control |
编辑 | Ai-Guo Wu,Ying Zhang |
视频video | |
概述 | 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. |
丛书名称 | Communications and Control Engineering |
图书封面 |  |
描述 | 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 unifiedapproach for solving a type of complex matrix equation. |
出版日期 | Book 2017 |
关键词 | Con-Sylvester matrix equations; Conjugate products; Iterative approaches; Kalman-Yakubovich matrix equa |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-10-0637-1 |
isbn_softcover | 978-981-10-9216-9 |
isbn_ebook | 978-981-10-0637-1Series ISSN 0178-5354 Series E-ISSN 2197-7119 |
issn_series | 0178-5354 |
copyright | Springer Science+Business Media Singapore 2017 |