The book "Set-Theoretic Methods in Control" presents a comprehensive approach to control theory using set-theoretic concepts. It emphasizes the use of sets to model constraints, uncertainties, and system specifications, providing a framework for analyzing and solving control problems. The book explores the connection between set theory and Lyapunov theory, focusing on the role of positive invariance in stability analysis. It discusses various methods for determining invariant sets, such as ellipsoids and polytopes, and their applications in control design. The book is structured into 12 chapters, covering topics such as Lyapunov functions, convex sets, invariant sets, dynamic programming, and the analysis of dynamic systems. It also addresses the control of parameter-varying systems, the use of time-domain constraints, and the solution of optimal and sub-optimal control problems. The text includes exercises and examples to illustrate key concepts and their practical applications. The book is intended for advanced graduate students and researchers in control theory, requiring a solid background in control and system theory. It provides an intuitive introduction to the concepts, making the material accessible even for readers with limited mathematical expertise. The authors emphasize the importance of set-theoretic methods in modern control theory, highlighting their relevance in areas such as robust control, disturbance rejection, and estimation. The book also discusses the historical context of set-theoretic methods, their connections to other areas of control theory, and their potential for future developments. It includes a detailed appendix on the Euler auxiliary system and a software tool for computing invariant sets in constrained LPV systems. The authors thank various individuals and institutions for their contributions and acknowledge the role of the editorial staff in the publication process. Overall, the book serves as a valuable resource for understanding and applying set-theoretic methods in control systems.The book "Set-Theoretic Methods in Control" presents a comprehensive approach to control theory using set-theoretic concepts. It emphasizes the use of sets to model constraints, uncertainties, and system specifications, providing a framework for analyzing and solving control problems. The book explores the connection between set theory and Lyapunov theory, focusing on the role of positive invariance in stability analysis. It discusses various methods for determining invariant sets, such as ellipsoids and polytopes, and their applications in control design. The book is structured into 12 chapters, covering topics such as Lyapunov functions, convex sets, invariant sets, dynamic programming, and the analysis of dynamic systems. It also addresses the control of parameter-varying systems, the use of time-domain constraints, and the solution of optimal and sub-optimal control problems. The text includes exercises and examples to illustrate key concepts and their practical applications. The book is intended for advanced graduate students and researchers in control theory, requiring a solid background in control and system theory. It provides an intuitive introduction to the concepts, making the material accessible even for readers with limited mathematical expertise. The authors emphasize the importance of set-theoretic methods in modern control theory, highlighting their relevance in areas such as robust control, disturbance rejection, and estimation. The book also discusses the historical context of set-theoretic methods, their connections to other areas of control theory, and their potential for future developments. It includes a detailed appendix on the Euler auxiliary system and a software tool for computing invariant sets in constrained LPV systems. The authors thank various individuals and institutions for their contributions and acknowledge the role of the editorial staff in the publication process. Overall, the book serves as a valuable resource for understanding and applying set-theoretic methods in control systems.