Theory of Sensitivity in Dynamic Systems : An Introduction

Theory of Sensitivity in Dynamic Systems : An Introduction - Mansour Eslami

Theory of Sensitivity in Dynamic Systems: An Introduction is a comprehensive and technical textbook and reference work focused on the mathematical and engineering foundations of sensitivity theory as it applies to dynamic systems. Written by Mansour Eslami, the book offers an in‑depth treatment of how dynamic systems respond to changes in parameters, initial conditions, and external influences, presenting both the historical development of the field and its current theoretical state. It is designed for advanced students, researchers, and professionals in fields such as control theory, electrical engineering, information theory, and applied mathematics, where understanding the sensitivity and robustness of systems is critical.

The book is structured into multiple chapters that progressively build the reader’s understanding of sensitivity concepts. It begins with an introductory overview of dynamic systems and the central ideas of sensitivity theory, setting the stage for deeper analysis. Subsequent chapters explore the principal aspects of sensitivity theory, including how sensitivity functions are generated and characterized, and the algebraic properties of system models under various conditions. The work also discusses stability, robustness, and maneuverability of dynamic systems, and how these properties relate to sensitivity in both small and large scales. Later sections examine techniques for reducing sensitivity and enhancing robustness, as well as applications of sensitivity theory in networked systems. Throughout, the treatment is mathematically rigorous, incorporating formal definitions, derivations, and structured argumentation suitable for researchers seeking both theoretical insights and practical analytical tools.