A novel diffusive representation of fractional calculus to stability and stabilisation of noncommensurate fractional-order nonlinear systems

被引：3
|
作者：
Shen, Ao [2 ]
Guo, Yuxiang [1 ,2 ]
Zhang, Qingping [1 ]
机构：
[1] Anqing Normal Univ, Sch Elect Engn & Intelligent Mfg, Anqing 246133, Peoples R China
[2] Northwestern Polytech Univ, Sch Aeronaut, Xian 710072, Peoples R China
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2022年 / 10卷 / 01期
关键词：
Fractional-order system; Fractional calculus; Laguerre integration; Laguerre function; LYAPUNOV APPROACH; LINEAR-SYSTEMS; OBSERVER;
D O I：
10.1007/s40435-021-00811-6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The article shows a new tantamount description of Caputo's fractional calculus through use of an assistant binary function. Applying the concepts of Laguerre's function and its integration, an original approximative method of the consequent infinitely dimensional state space model is proposed. And it is indispensable to exhibit the validity and superiority of our given scheme by contrast to some relevant researching findings of the theoretical results before. Meantime, some questions of diffusive representation for fractional calculus in existing references are pointed out. The proposed diffusive representation in this article can be also provided to analyze and control a kind of noncommensurate fractional order non-autonomous systems. Finally, two examples associated with numerical simulations are used to support our obtained approximation method and stability criterions.
引用
收藏
页码：283 / 295
页数：13
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