Impulsive Systems with Delays: Stability and Control

The book focuses on stability and control of impulsive systems with delays, including impulsive delayed systems, impulsive systems with delayed impulses, and impulsive systems with event-triggered mechanisms. It discusses comprehensive stability properties, bilateral effects of delayed impulses, and event-triggered impulsive control with applications in multi-agent systems and collective dynamics. It is useful for specialists, high technology specialists, and instructors teaching graduate courses and graduate students.

Format: Paperback / softback
Length: 436 pages
Publication date: 16 October 2022
Publisher: Springer Verlag, Singapore

This comprehensive text delves into the latest advancements in stability and control of impulsive systems with delays, a field that has garnered significant attention due to its ability to model a wide range of real-world processes. It encompasses a wide range of impulsive systems, including those with delayed impulses, delayed impulses, and event-triggered mechanisms. The book emphasizes the bilateral effects of delayed impulses, exploring comprehensive stability properties within the framework of time-dependent and state-dependent delays. Additionally, it presents original research on event-triggered impulsive control and its applications in multi-agent systems and collective dynamics.

Designed for specialists in impulsive differential equations and impulsive control theory, as well as high-technology professionals working in complex networks and applied mathematics, this book offers valuable insights into nonlinear system theory. It serves as a valuable resource for instructors teaching graduate courses and graduate students, providing them with a comprehensive understanding of the latest developments in this field.

The book is organized into five chapters, each covering a different aspect of impulsive systems with delays. Chapter 1 provides an introduction to the topic, discussing the significance of impulsive systems and their applications in various fields. Chapter 2 focuses on the theory of impulsive differential equations, including the definition of impulsive systems, the stability analysis, and the control design. Chapter 3 explores the stability and control of impulsive delayed systems, including the Lyapunov stability theory, finite-time stability theory, and input-to-state stability synthesis. Chapter 4 examines the bilateral effects of delayed impulses, discussing comprehensive stability properties in the framework of time-dependent and state-dependent delays. Chapter 5 presents original research on event-triggered impulsive control and its applications in multi-agent systems and collective dynamics.

Throughout the book, theoretical concepts are illustrated with numerous examples and case studies, making them accessible to a wide range of readers. The book also includes a comprehensive bibliography that provides further reading for those interested in exploring this field in greater depth.

In conclusion, this book is a valuable resource for specialists, professionals, and students interested in stability and control of impulsive systems with delays. It provides a comprehensive coverage of the latest research, theoretical concepts, and practical applications, making it an essential tool for advancing knowledge in this field.

Weight: 694g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811646898
Edition number: 1st ed. 2022