Title of article
Convergence Analysis for Iterative Learning Control of Conformable Impulsive Differential Equations
Author/Authors
Qiu ، Wanzheng Department of Mathematics - Guizhou University , Fečkan ، Michal Department of Mathematical Analysis and Numerical Mathematics - Faculty of Mathematics, Physics and Informatics - Comenius University in Bratislava , O’Regan ، Donal School of Mathematics, Statistics and Applied Mathematics - National University of Ireland , Wang ، JinRong Department of Mathematics - Department of Mathematics - Guizhou University
From page
193
To page
212
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 PIγ Dγ -type learning update laws. Next, we establish sufficient conditions for tracking error convergence and use impulsive Gronwall inequality and mathematical analysis tools to prove themain results. Finally, three numerical examples are given to illustrate our theoretical results.
Keywords
Iterative learning control , Conformable impulsive differential equations , Convergence
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2750934
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