一种充分光滑分数阶投影算子的构造方法
A Construction Method of Sufficiently Smooth Fractional-Order Projection Operator
DOI: 10.12677/AAM.2023.1211462, PDF,    科研立项经费支持
作者: 孙 珂, 马志垚*：辽宁工业大学理学院，辽宁 锦州
关键词: 分数阶投影算子；自适应律；Fractional-Order Projection Operator； Adaptive Laws
摘要: 本文首先介绍了Caputo型分数阶导数的定义及其满足的相关引理。其次为了构造自适应律，提出了一种充分光滑的分数阶参数投影算子构造方法。最后给出了所提投影算子满足的一些性质，并提供了严密的证明。
Abstract: This paper first introduces the definition of Caputo type fractional-order derivative and the correla-tion lemma about it. Secondly, a construction method of sufficiently smooth fractional-order projec-tion operator is proposed for adaptive laws. Finally, some properties satisfied by the proposed pro-jection operator are given, and a strict proof is provided.
文章引用：孙珂, 马志垚. 一种充分光滑分数阶投影算子的构造方法[J]. 应用数学进展, 2023, 12(11): 4697-4701. https://doi.org/10.12677/AAM.2023.1211462

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