Iterative Learning Control for Equations with Fractional Derivatives and Impulses

This book introduces iterative learning control (ILC) and its applications to new equations such as fractional order equations, impulsive equations, delay equations, and multi-agent systems. It provides rigorous proofs and numerical examples, making it useful for graduate students and researchers in mathematics, physics, engineering, and biology.

Format: Paperback / softback
Length: 256 pages
Publication date: 12 December 2022
Publisher: Springer Verlag, Singapore

This comprehensive book delves into the realm of iterative learning control (ILC), a powerful tool for addressing complex equations. It presents ILC's applications to a diverse range of new equations, including fractional order equations, impulsive equations, delay equations, and multi-agent systems, which have not been covered in other books on conventional fields. ILC, a branch of intelligent control, holds significant importance in various domains such as robotics, process control, and biological systems.

Within this book, the fractional version of ILC updating laws and formation control are explored in detail. Moreover, ILC designs for impulsive equations and inclusions are established, offering valuable insights into the field. The remarkable achievement of this book lies in the wide array of results obtained through rigorous proofs and numerous numerical examples. These examples serve to illustrate the practical applications and effectiveness of ILC, making it a valuable resource for graduate students specializing in ILC involving fractional derivatives and impulsive conditions. Additionally, researchers in pure and applied mathematics, physics, mechanics, engineering, biology, and related disciplines will find this book immensely useful.

By presenting ILC in a comprehensive and accessible manner, this book empowers readers to tackle challenging problems and advance their understanding of this dynamic field. Its comprehensive coverage, rigorous proofs, and practical examples make it an essential reference for scholars and practitioners alike.

Weight: 415g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811682469
Edition number: 1st ed. 2022