The book "Set-Theoretic Methods in Control" by Franco Blanchini and Stefano Miani, edited by Tamer Başar, is a comprehensive treatise on the application of set-theoretic methods in control systems. The authors emphasize that sets are crucial in formulating and solving control problems, particularly in dealing with constraints, uncertainties, and design specifications. The book covers a wide range of topics, including Lyapunov theory, positive invariance, convex sets, invariant sets, dynamic programming, and various control strategies such as robust control, gain-scheduling, and time-domain constraints. It also explores applications in parameter-varying systems, optimal control, and estimation. The book is structured into 12 chapters, each delving into specific aspects of set-theoretic control, with exercises and references provided throughout. The authors aim to provide a fresh perspective on Lyapunov methods, focusing on how to synthesize Lyapunov functions from sets constructed to address specific control challenges. The book is intended for advanced graduate students and faculty members with a strong background in control and system theory.The book "Set-Theoretic Methods in Control" by Franco Blanchini and Stefano Miani, edited by Tamer Başar, is a comprehensive treatise on the application of set-theoretic methods in control systems. The authors emphasize that sets are crucial in formulating and solving control problems, particularly in dealing with constraints, uncertainties, and design specifications. The book covers a wide range of topics, including Lyapunov theory, positive invariance, convex sets, invariant sets, dynamic programming, and various control strategies such as robust control, gain-scheduling, and time-domain constraints. It also explores applications in parameter-varying systems, optimal control, and estimation. The book is structured into 12 chapters, each delving into specific aspects of set-theoretic control, with exercises and references provided throughout. The authors aim to provide a fresh perspective on Lyapunov methods, focusing on how to synthesize Lyapunov functions from sets constructed to address specific control challenges. The book is intended for advanced graduate students and faculty members with a strong background in control and system theory.