Input-to-State Stability: Theory and Applications

Input-to-State Stability (ISS) is a dominant stability paradigm in nonlinear control theory that has revolutionized our understanding of stabilizing nonlinear systems, designing robust nonlinear observers, and stability of nonlinear interconnected control systems. This book provides a comprehensive overview of the theoretical basis of ISS, discusses its central applications, highlights the role of small-gain methods, and compares ISS for finite- and infinite-dimensional systems. It also offers a short overview of ISS for other systems classes and surveys available results for stability properties related to ISS. The book is intended for researchers and graduate students studying nonlinear control from a mathematical or engineering background and includes numerous exercises for active readers.

Format: Hardback
Length: 406 pages
Publication date: 01 April 2023
Publisher: Springer International Publishing AG

Input-to-State Stability (ISS) has emerged as a dominant paradigm in nonlinear control theory, revolutionizing our understanding of stabilizing nonlinear systems, designing robust nonlinear observers, and ensuring stability in nonlinear interconnected control systems. Its applications span diverse fields such as mechatronics, aerospace engineering, and systems biology. While the book primarily focuses on the ISS theory of finite-dimensional systems, it emphasizes the significance of a broader perspective on infinite-dimensional ISS theory. This expansion enables the analysis of more general system classes and offers fresh insights into and a deeper comprehension of the classical ISS theory for ordinary differential equations (ODEs).

Key features of the book include:

Comprehensive Overview of the Theoretical Basis of ISS: The book provides a thorough exploration of the theoretical foundations of ISS, covering key concepts, definitions, and results.

Central Applications of ISS in Nonlinear Control Theory: It delves into the practical applications of ISS in various areas of nonlinear control, including feedback control, adaptive control, and nonlinear system identification.

Detailed Discussion of Small-Gain Methods in Nonlinear Network Stability: The book emphasizes the role of small-gain methods in stabilizing nonlinear networks, highlighting their effectiveness in achieving stability and performance improvement.

In-Depth Comparison of ISS for Finite- and Infinite-Dimensional Systems: The book compares and contrasts ISS for finite-dimensional and infinite-dimensional systems, discussing their similarities, differences, and applications.

Short Overview of ISS for Other System Classes: The book provides a concise summary of the ISS theory for other system classes, such as partial differential equations, hybrid systems, impulsive systems, and time-delay systems. It also surveys the existing results for important stability properties related to ISS.

No Prior Knowledge of Dynamical Systems or Stability Theory Required: The book assumes a basic knowledge of analysis, Lebesgue integration theory, linear algebra, and the theory of ODEs. It introduces all the necessary ideas within the text, making it accessible to researchers and graduate students with backgrounds in mathematics or engineering, particularly those interested in nonlinear control.

Intended Audience: The book will appeal to researchers and graduate students studying nonlinear control from either a mathematical or engineering perspective. It provides a comprehensive and up-to-date resource for advancing knowledge in this field.

Weight: 799g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031146732
Edition number: 1st ed. 2023