Focusing on the application of linear matrix inequalities (LMIs) in control systems, this book offers a systematic introduction to key results in LMI-based analysis and design. Tailored for graduate and senior undergraduate courses, it addresses both continuous- and discrete-time linear systems, providing a comprehensive understanding of LMI methods in solving control problems. Its practical approach makes it a valuable resource for students and practitioners in the field.
The book introduces a unified parametric approach to solving various types of Generalized Sylvester Equations (GSEs). It presents a comprehensive solution formula in a clear matrix format, simplifying to a vector form when the parameter matrix is a Jordan matrix. The author emphasizes elegance and clarity in the methodology, making it accessible for readers interested in advanced mathematical concepts related to GSEs.
Focusing on continuous-time descriptor linear systems, this book offers a structured approach to the fundamental theories and results in the field. It serves as a comprehensive introduction, making complex concepts accessible for readers seeking to understand the basics of descriptor linear systems theory.