Controlling Delayed Dynamics: Advances in Theory, Methods and Applications

This book covers recent developments in time-delay systems, emphasizing control theory and interdisciplinary connections, and is useful for graduate students and researchers in dynamical systems, automatic control, numerical methods, and functional analysis.

Format: Hardback
Length: 364 pages
Publication date: 20 September 2022
Publisher: Springer International Publishing AG

This comprehensive book explores the multifaceted world of time-delay systems, delving into analytical, numerical, and application aspects, all within the framework of control theory. It presents a collection of insightful contributions that highlight recent advancements in these diverse contexts, emphasizing the interdisciplinary connections between these fields. Serving as an invaluable resource for graduate students and researchers alike, the book offers a deep understanding of dynamical systems, automatic control, numerical methods, and functional analysis, empowering readers to tackle complex challenges and push the boundaries of knowledge in their respective domains.

Introduction:
Time-delay systems have found widespread applications in various fields, including communication, control, and signal processing. These systems involve the transmission of signals over a time-varying medium, leading to delays and distortions that must be addressed for accurate and reliable operation. The study of time-delay systems has been an active area of research for decades, driven by the need for efficient and robust control strategies.
Analytical Aspects:
The book delves into the analytical aspects of time-delay systems, focusing on the development of mathematical models and techniques for their analysis. It covers topics such as delay differential equations, state-space representations, and stability analysis, providing a solid foundation for understanding the behavior and performance of these systems. Analytical methods allow for the prediction of system responses, the design of controllers, and the optimization of system parameters.
Numerical Methods:
In addition to analytical approaches, the book also explores numerical methods for the solution of time-delay systems. It discusses various numerical techniques, including finite difference methods, finite element methods, and optimal control algorithms, enabling the accurate and efficient simulation of time-delay systems. These methods allow for the exploration of complex system dynamics, the identification of system parameters, and the design of control strategies.
Application Aspects:
The book emphasizes the application of time-delay systems in real-world scenarios. It discusses various applications, such as communication systems, power systems, and biological systems, highlighting the challenges and opportunities associated with these systems. It provides case studies and examples to illustrate the practical implications of time-delay systems and their impact on system performance.
Interdisciplinary Connections:
One of the key strengths of the book is its interdisciplinary approach. It brings together experts from different fields, including dynamical systems, automatic control, numerical methods, and functional analysis, to discuss the commonalities and differences between these areas. This interdisciplinary collaboration fosters a deeper understanding of time-delay systems and enables the development of novel and innovative solutions.
Conclusion:
In conclusion, this comprehensive book provides a thorough exploration of the analytical, numerical, and application aspects of time-delay systems. It serves as a valuable resource for graduate students and researchers in the fields of dynamical systems, automatic control, numerical methods, and functional analysis. By presenting recent advances and highlighting interdisciplinary connections, the book empowers readers to tackle complex challenges and contribute to the ongoing development of this field.

Weight: 723g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031009815
Edition number: 1st ed. 2023