Complex Conjugate Matrix Equations for Systems and Control
tarafından
Wu, Ai-Guo. author.
Başlık
:
Complex Conjugate Matrix Equations for Systems and Control
Yazar
:
Wu, Ai-Guo. author.
ISBN
:
9789811006371
Yazar
:
Wu, Ai-Guo. author.
Edisyon
:
1st ed. 2017.
Fiziksel Niteleme
:
XVIII, 487 p. 13 illus. online resource.
Seri
:
Communications and Control Engineering,
İçindekiler
:
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.
Özet
:
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.
Konu Başlığı
:
Systems theory.
Engineering mathematics.
Matrix theory.
Systems Theory, Control. http://scigraph.springernature.com/things/product-market-codes/M13070
Mathematical and Computational Engineering. http://scigraph.springernature.com/things/product-market-codes/T11006
Linear and Multilinear Algebras, Matrix Theory. http://scigraph.springernature.com/things/product-market-codes/M11094
Control and Systems Theory. http://scigraph.springernature.com/things/product-market-codes/T19010
Yazar Ek Girişi
:
Zhang, Ying.
Ek Kurum Yazar
:
SpringerLink (Online service)
Elektronik Erişim
:
Materyal Türü | Barkod | Yer Numarası | Durumu/İade Tarihi |
---|
Electronic Book | 224572-1001 | Q295 | Springer E-Book Collection |