Iterative Learning Control for Equations with Fractional Derivatives and Impulses

1. Auflage 2022
ISBN: 978-981-16-8246-9
Verlag: Springer Nature Singapore

Buch, Englisch, Band 403, 256 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 411 g

Reihe: Studies in Systems, Decision and Control

This book introduces iterative learning control (ILC) and its applications to the new equations such as fractional order equations, impulsive equations, delay equations, and multi-agent systems, which have not been presented in other books on conventional fields. ILC is an important branch of intelligent control, which is applicable to robotics, process control, and biological systems. The fractional version of ILC updating laws and formation control are presented in this book. ILC design for impulsive equations and inclusions are also established. The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique.

This book is useful for graduate students studying ILC involving fractional derivatives and impulsive conditions as well as for researchers working in pure and applied mathematics, physics, mechanics, engineering, biology, and related disciplines.

Zielgruppe

Research

Autoren/Hrsg.

Wang, Jinrong

Fe¿kan, Michal

Liu, Shengda

Feckan, Michal

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Technik Allgemein Mess- und Automatisierungstechnik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen

Inhaltsverzeichnis

Fractional Equations.- Fractional Multi-Agent Systems.- Instantaneous Impulsive Equations.- Noninstantaneous Impulsive Equations.- Noninstantaneous Impulsive Inclusions.- Delay Equations.

Über Autor(innen)

JinRong Wang has been Professor in the Department of Mathematics at the School of Mathematics and Statistics at Guizhou University, People’s Republic of China, since 2011. He received his master‘s degree from Guizhou University in 2006 and Ph.D. from the same university in 2009. He is interested in impulsive differential equations, fractional differential equations, delay differential equations, iterative learning controls, multi-agent systems, atmospheric Ekman flows and Antarctic Circumpolar Current. Since 2015, he has been listed in the Highly Cited Researcher in Mathematics.

Shengda Liu received the B. S. with the major of mathematics from the School of Mathematical Sciences, Harbin Normal University, Harbin, China, in 2012, and the M. S. and Ph. D. with the major of applied mathematics from the School of Mathematics and Statistics, Guizhou University, Guiyang, China, in 2016 and 2019, respectively. He is currently a post-doctoral fellow at the State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences. His current research interests include iterative learning control, fractional order equation and control theory and its application in rehabilitation robots.

Michal Feckan has been a Professor of Mathematics at the Department of Mathematical Analysis and Numerical Mathematics in the Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovak Republic since 2003. He received the master‘s degree (mathematics) from Comenius University in Bratislava in 1985 and PhD (mathematics) from the Mathematical Institute of Slovak Academy of Sciences in Bratislava, Slovak Republic in 1993. He is interested in nonlinear functional analysis, bifurcation theory, dynamical systems and fractional calculus with applications to mechanics, vibrations and economics.