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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Complex Conjugate Matrix Equations for Systems and Control

Complex Conjugate Matrix Equations for Systems and Control

Wu, Ai-Guo
Zhang, Ying

Hardcover

Series: Communications and Control Engineering

AlgebraGeneral MathematicsGeneral Science

ISBN10: 9811006350
ISBN13: 9789811006357
Publisher: Springer Nature
Published: Aug 17 2016
Pages: 487
Weight: 1.95
Height: 1.13 Width: 6.14 Depth: 9.21
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.

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