Iterative learning control for equations with fractional derivatives and impulses
type: Item
instance of: scholarly article
title: Iterative learning control for equations with fractional derivatives and impulses
zbMATH Open document ID: 1490.93003
DOI: 10.1007/978-981-16-8244-5
author: Jinrong Wang
author: Shengda Liu
author: Michal Fečkan
published in: Studies in Systems, Decision and Control
publication date: 2022-02-07T00:00:00Z
review text: The monograph addresses the method of iterative learning control (ILC) suggested by \textit{M. Uchiyama} in the end of 1970s [``Formulation of high-speed motion pattern of a mechanical arm by trial'', Trans. Soc. Instrum. Control Eng. 14, No. 6, 706--712 (1978)]. The authors develop ILC for a new class of systems, namely, equations with fractional derivatives and impulses. The monograph consists of the introduction and five more chapters including Chapter~2 where elements of the ILC theory for fractional-order differential equations are given. In the 3rd chapter, a fractional multi-agent system is considered. Chapter~4 is devoted to the instantaneous impulsive differential equations. The 5th chapter contains generalizations of results of the previous chapter for the class of noninstantaneous systems. The final, 6th chapter is devoted to ILC theory for nonlinear ordinary differential inclusions and partial differential inclusion of parabolic type with noninstantaneous impulses.
Mathematics Subject Classification ID: 93-02
Mathematics Subject Classification ID: 93B47
Mathematics Subject Classification ID: 93A16
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C27
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7470395
zbMATH Keywords: multi-agent systems
zbMATH Keywords: differential equations with impulses
zbMATH Keywords: fractional derivatives
zbMATH Keywords: nonlinear ordinary differential inclusions
zbMATH Keywords: partial differential inclusion
reviewed by: Vyacheslav I. Maksimov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-981-16-8244-5
OpenAlex ID: W4206116760
description: scientific article; zbMATH DE number 7470395