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.
Descriptor linear systems theory is an important part in the general field of control systems theory, and has attracted much attention in the last two decades. In spite of the fact that descriptor linear systems theory has been a topic very rich in content, there have been only a few books on this topic. This book provides a systematic introduction to the theory of continuous-time descriptor linear systems and aims to provide a relatively systematic introduction to the basic results in descriptor linear systems theory. The clear representation of materials and a large number of examples make this book easy to understand by a large audience. General readers will find in this book a comprehensive introduction to the theory of descriptive linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a good introduction to some important problems in linear systems theory.