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Stabilization of the Fractional‐Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input

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  • Chunde Yang
  • Hao Cai
  • Ping Zhou

Abstract

A modified fractional‐order Chua chaotic circuit is proposed in this paper, and the chaotic attractor is obtained for q = 0.98. Based on the Mittag‐Leffler function in two parameters and Gronwall’s Lemma, two control schemes are proposed to stabilize the modified fractional‐order Chua chaotic system via the Caputo derivative of a single input. The numerical simulation shows the validity and feasibility of the control scheme.

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Handle: RePEc:wly:jnddns:v:2016:y:2016:i:1:n:4129756
DOI: 10.1155/2016/4129756
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