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

作　　者：孙珂 马志垚 

机构地区：[1]辽宁工业大学理学院,辽宁 锦州

出　　处：《应用数学进展》2023年第11期4697-4701,共5页Advances in Applied Mathematics

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。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.

关 键 词：分数阶投影算子 自适应律 

分 类 号：O17[理学—数学]