Controllability of fractional-order Chua's circuit

doi:10.1088/1674-1056/24/3/030203

›› 2015, Vol. 24 ›› Issue (3): 30203-030203.doi: 10.1088/1674-1056/24/3/030203

Controllability of fractional-order Chua's circuit

张浩, 陈帝伊, 周坤, 王一琛

Department of Electrical Engineering, College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling 712100, China

收稿日期:2014-07-03 修回日期:2014-10-11 出版日期:2015-03-05 发布日期:2015-03-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51109180 and 51479173), the Fundamental Research Funds for the Central Universities, China (Grant No. 201304030577), the Northwest A&F University Foundation, China (Grant No. 2013BSJJ095), and the Scientific Research Foundation on Water Engineering of Shaanxi Province, China (Grant No. 2013slkj-12).

Controllability of fractional-order Chua's circuit

Zhang Hao (张浩), Chen Di-Yi (陈帝伊), Zhou Kun (周坤), Wang Yi-Chen (王一琛)

Department of Electrical Engineering, College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling 712100, China

Received:2014-07-03 Revised:2014-10-11 Online:2015-03-05 Published:2015-03-05
Contact: Chen Di-Yi E-mail:diyichen@nwsuaf.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51109180 and 51479173), the Fundamental Research Funds for the Central Universities, China (Grant No. 201304030577), the Northwest A&F University Foundation, China (Grant No. 2013BSJJ095), and the Scientific Research Foundation on Water Engineering of Shaanxi Province, China (Grant No. 2013slkj-12).

摘要/Abstract

摘要： 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.

关键词: controllability, Chua', s circuit, fractional order circuit

Abstract: 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.

Key words: controllability, Chua's circuit, fractional order circuit

中图分类号: (Control theory)

02.30.Yy

89.75.Fb (Structures and organization in complex systems) 89.75.Hc (Networks and genealogical trees)

张浩, 陈帝伊, 周坤, 王一琛. Controllability of fractional-order Chua's circuit[J]. , 2015, 24(3): 30203-030203.

Zhang Hao (张浩), Chen Di-Yi (陈帝伊), Zhou Kun (周坤), Wang Yi-Chen (王一琛). Controllability of fractional-order Chua's circuit[J]. Chin. Phys. B, 2015, 24(3): 30203-030203.

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Controllability of fractional-order Chua's circuit

Controllability of fractional-order Chua's circuit

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