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Convergence analysis for iterative learning control of conformable fractional differential equations
Author(s) -
Wang Xiaowen,
Wang JinRong,
Shen Dong,
Zhou Yong
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5291
Subject(s) - conformable matrix , convergence (economics) , mathematics , type (biology) , nonlinear system , iterative learning control , state (computer science) , differential equation , mathematical analysis , algorithm , ecology , physics , quantum mechanics , economics , biology , economic growth
This paper mainly deals with iterative learning control for the conformable fractional differential equations. The standard P‐type, D α ‐type, and conformable PI α D α ‐type learning updating laws are proposed to derive the convergence results for nonlinear and linear problems varying with the initial state is (not) coincident with the desired initial state. Finally, numerical examples are given to illustrate the results.