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Convergence Analysis for Iterative Learning Control of Conformable Impulsive Differential Equations

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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, $$D_{\gamma }$$ D… Click to show full 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, $$D_{\gamma }$$ D γ -type, and conformable $$PI_{\gamma }D_{\gamma }$$ P I γ D 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.

Keywords: impulsive differential; learning control; conformable impulsive; differential equations; iterative learning; control conformable

Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2021

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