Complex Conjugate Matrix Equations For Systems And Control
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Complex Conjugate Matrix Equations for Systems and Control
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.
Nonlinear Systems and Controls
This textbook provides a clear introduction to the theory and application of nonlinear systems and controls. The author explains the methods of nonlinear control, which are known from control theory research and are becoming increasingly important in industrial applications. The fundamentals of nonlinear dynamics, stability theory, controllability, nonlinear control of linear and nonlinear systems, and nonlinear state transformations are covered. Furthermore, the concepts of observability and the theory and application of nonlinear observers are described. The main features of the book are the comprehensive presentation of the theory, excellent comprehensibility, many example applications, and more than a hundred exercises with solutions, which are illustrated by numerous color diagrams. This book is aimed at advanced engineering students and engineers in industry.