Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input
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 v...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/4129756 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556114264195072 |
|---|---|
| author | Chunde Yang Hao Cai Ping Zhou |
| author_facet | Chunde Yang Hao Cai Ping Zhou |
| author_sort | Chunde Yang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4b045887609d4de8ad41c01b2d313291 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4b045887609d4de8ad41c01b2d3132912025-02-03T05:46:21ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/41297564129756Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single InputChunde Yang0Hao Cai1Ping Zhou2Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaCenter of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaA 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.http://dx.doi.org/10.1155/2016/4129756 |
| spellingShingle | Chunde Yang Hao Cai Ping Zhou Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input Discrete Dynamics in Nature and Society |
| title | Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input |
| title_full | Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input |
| title_fullStr | Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input |
| title_full_unstemmed | Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input |
| title_short | Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input |
| title_sort | stabilization of the fractional order chua chaotic circuit via the caputo derivative of a single input |
| url | http://dx.doi.org/10.1155/2016/4129756 |
| work_keys_str_mv | AT chundeyang stabilizationofthefractionalorderchuachaoticcircuitviathecaputoderivativeofasingleinput AT haocai stabilizationofthefractionalorderchuachaoticcircuitviathecaputoderivativeofasingleinput AT pingzhou stabilizationofthefractionalorderchuachaoticcircuitviathecaputoderivativeofasingleinput |