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
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
