Stability and Controls Analysis for Delay Systems

This book discusses stability, controllability, and iterative learning control (ILC) for delay systems, including first-order systems, oscillating systems, impulsive systems, fractional systems, difference systems, and stochastic systems. It uses a delayed exponential matrix function approach to derive representation and stability of solutions and establish ILC designs. The broad range of achieved results with rigorous proofs and numerical examples makes this book unique.

Format: Paperback / softback
Length: 330 pages
Publication date: 02 December 2022
Publisher: Elsevier Science & Technology

Stability and Controls Analysis for Delay Systems is a comprehensive and in-depth exploration of stability, controllability, and iterative learning control (ILC) for delay systems, encompassing a wide range of systems derived from various fields such as physics, biology, population dynamics, ecology, and economics. This book fills a gap in the literature by presenting these concepts in a unified and comprehensive manner, which are currently not found in other books on conventional fields.

The book begins by introducing the fundamental principles of stability and controllability for delay systems. It then delves into the derivation of representation and stability of solutions using the delayed exponential matrix function approach, a widely employed method in this field. Moreover, the book establishes ILC design methodologies, which serve as a powerful tool for finding control functions.

One of the remarkable features of this book is the wide variety of achieved results presented with rigorous proofs and numerous numerical examples. These examples not only illustrate the theoretical concepts but also provide practical insights into the application of stability and control analysis in real-world scenarios. The rigorous approach adopted in the book ensures that the readers have a solid understanding of the underlying principles and can apply them effectively in their research and engineering endeavors.

The book is organized into five chapters, each covering a specific aspect of stability and controls analysis for delay systems. The first chapter provides an overview of delay systems and their applications, while the subsequent chapters delve into the theoretical foundations, representation methods, stability analysis, controllability analysis, and ILC design. The final chapter summarizes the key findings and highlights the book's unique contributions.

In conclusion, Stability and Controls Analysis for Delay Systems is a valuable resource for researchers, engineers, and students interested in delay systems, stability, controllability, and ILC. With its comprehensive coverage, rigorous proofs, and numerous numerical examples, this book provides a solid foundation for understanding and applying these concepts in various fields. Whether you are working on complex systems in physics, biology, or economics, this book will be an invaluable tool for your research and development endeavors.

Weight: 540g
Dimension: 228 x 152 x 24 (mm)
ISBN-13: 9780323997928