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Complex Conjugate Matrix Equations for Systems and Control (Hardcover, 1st ed. 2017)
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Complex Conjugate Matrix Equations for Systems and Control (Hardcover, 1st ed. 2017)
Series: Communications and Control Engineering
Expected to ship within 10 - 15 working days
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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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