Convergence Analysis for Iterative Learning Control of Conformable Impulsive Differential Equations

Wanzheng Qiu; Michal Fečkan; Donal O’Regan; Jin Rong Wang

doi:10.1007/s41980-020-00510-6

Convergence Analysis for Iterative Learning Control of Conformable Impulsive Differential Equations

Wanzheng Qiu
, Michal Fečkan
, Donal O’Regan
, Jin Rong Wang

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

10 Citations (Scopus)

Abstract

This paper deals with iterative learning control for conformable impulsive differential equations. For nonlinear and linear problems varying with the initial state, we design standard P-type, D_γ-type, and conformable PI_γD_γ-type learning update laws. Next, we establish sufficient conditions for tracking error convergence and use impulsive Gronwall inequality and mathematical analysis tools to prove the main results. Finally, three numerical examples are given to illustrate our theoretical results.

Original language	English
Pages (from-to)	193-212
Number of pages	20
Journal	Bulletin of the Iranian Mathematical Society
Volume	48
Issue number	1
DOIs	https://doi.org/10.1007/s41980-020-00510-6
Publication status	Published - Feb 2022

Keywords

Conformable impulsive differential equations
Convergence
Iterative learning control

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10.1007/s41980-020-00510-6

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title = "Convergence Analysis for Iterative Learning Control of Conformable Impulsive Differential Equations",

abstract = "This paper deals with iterative learning control for conformable impulsive differential equations. For nonlinear and linear problems varying with the initial state, we design standard P-type, Dγ-type, and conformable PIγDγ-type learning update laws. Next, we establish sufficient conditions for tracking error convergence and use impulsive Gronwall inequality and mathematical analysis tools to prove the main results. Finally, three numerical examples are given to illustrate our theoretical results.",

keywords = "Conformable impulsive differential equations, Convergence, Iterative learning control",

author = "Wanzheng Qiu and Michal Fe{\v c}kan and Donal O{\textquoteright}Regan and Wang, \{Jin Rong\}",

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AU - O’Regan, Donal

AU - Wang, Jin Rong

PY - 2022/2

Y1 - 2022/2

N2 - This paper deals with iterative learning control for conformable impulsive differential equations. For nonlinear and linear problems varying with the initial state, we design standard P-type, Dγ-type, and conformable PIγDγ-type learning update laws. Next, we establish sufficient conditions for tracking error convergence and use impulsive Gronwall inequality and mathematical analysis tools to prove the main results. Finally, three numerical examples are given to illustrate our theoretical results.

AB - This paper deals with iterative learning control for conformable impulsive differential equations. For nonlinear and linear problems varying with the initial state, we design standard P-type, Dγ-type, and conformable PIγDγ-type learning update laws. Next, we establish sufficient conditions for tracking error convergence and use impulsive Gronwall inequality and mathematical analysis tools to prove the main results. Finally, three numerical examples are given to illustrate our theoretical results.

KW - Conformable impulsive differential equations

KW - Convergence

KW - Iterative learning control

UR - https://www.scopus.com/pages/publications/85102835844

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DO - 10.1007/s41980-020-00510-6

M3 - Article

AN - SCOPUS:85102835844

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EP - 212

JO - Bulletin of the Iranian Mathematical Society

JF - Bulletin of the Iranian Mathematical Society

IS - 1

ER -

Convergence Analysis for Iterative Learning Control of Conformable Impulsive Differential Equations

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Keywords

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