A NOTE ON SHORT MEMORY PRINCIPLE OF FRACTIONAL CALCULUS

被引：70
|
作者：
Wei, Yiheng [1 ]
Chen, Yuquan [1 ]
Cheng, Songsong [1 ]
Wang, Yong [1 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Vibrat Control & Vehicle Control VCVC Lab, 443 Huang Shan Rd, Hefei 230027, Anhui, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2017年 / 20卷 / 06期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
fractional calculus; short memory principle; long memory characteristic; series representation; NONLINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; ORDER SYSTEMS; MODEL;
D O I：
10.1515/fca-2017-0073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, from the classical short memory principle under Grunwald-Letnikov definition, several novel short memory principles are presented and investigated. On one hand, the classical principle is extended to Riemann-Liouville and Caputo cases. On the other hand, a special kind of principles are formulated by introducing a discrete argument instead of the continuous time, resulting in principles with fixed memory length or fixed memory step. Apart from these, several interesting properties of the proposed principles are revealed profoundly.
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页码：1382 / 1404
页数：23
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