This book investigates the application of variational methods to solve problems in optimum control theory. It presents a rigorous mathematical framework for analyzing and designing control systems, focusing on techniques that minimize or maximize performance indices. The text assumes a background in calculus of variations and functional analysis, detailing the theoretical underpinnings and practical implementation of these methods for a range of control problems.

The book is recognized as a foundational text in the field of optimal control, particularly for its detailed exposition of variational methods. Its theoretical depth and comprehensive coverage make it a valuable resource for graduate students and researchers in control engineering, applied mathematics, and related disciplines. The rigorous mathematical treatment ensures a thorough understanding of the underlying principles, positioning it as a key reference for advanced study and problem-solving in optimal control.