Controllability of fractional-order Chua＇s circuit

The ultimate proof of our understanding of nature and engineering systems is reflected in our ability to control them.Since fractional calculus is more universal, we bring attention to the controllability of fractional order systems. First,we extend the conventional controllability theorem to the fr...

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Bibliographic Details
Published in:中国物理B：英文版 2015 (3), p.26-30
Main Author: 张浩 陈帝伊 周坤 王一琛
Format: Article
Language:English
Subjects:
分数微积分
分数阶系统
可控性
工程系统
数值模拟
数学分析
蔡氏电路
非线性电路
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Summary:The ultimate proof of our understanding of nature and engineering systems is reflected in our ability to control them.Since fractional calculus is more universal, we bring attention to the controllability of fractional order systems. First,we extend the conventional controllability theorem to the fractional domain. Strictly mathematical analysis and proof are presented. Because Chua＇s circuit is a typical representative of nonlinear circuits, we study the controllability of the fractional order Chua＇s circuit in detail using the presented theorem. Numerical simulations and theoretical analysis are both presented, which are in agreement with each other.
ISSN:1674-1056
2058-3834