Taming Chaos by Linear Regulation with Bound Estimation
Chaos control has become an important area of research and consequently many approaches have been proposed to control chaos. This paper proposes a linear regulation method. Different from the existing approaches is that it can provide region of attraction while estimating the bounding behaviour of t...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/357930 |
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| _version_ | 1832547462156386304 |
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| author | Jiqiang Wang Weijian Chen |
| author_facet | Jiqiang Wang Weijian Chen |
| author_sort | Jiqiang Wang |
| collection | DOAJ |
| description | Chaos control has become an important area of research and consequently many approaches have been proposed to control chaos. This paper proposes a linear regulation method. Different from the existing approaches is that it can provide region of attraction while estimating the bounding behaviour of the norm of the states. The proposed method also possesses design flexibility and can be easily used to cater for special requirement such that control signal should be generated via single input, single state, static feedback and so forth. The applications to the Tigan system, the Genesio chaotic system, the novel chaotic system, and the Lorenz chaotic system justify the above claims. |
| format | Article |
| id | doaj-art-c0d0458a2cc24c6b9a5b05749c586644 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c0d0458a2cc24c6b9a5b05749c5866442025-02-03T06:44:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/357930357930Taming Chaos by Linear Regulation with Bound EstimationJiqiang Wang0Weijian Chen1Jiangsu Province Key Laboratory of Aerospace Power Systems, College of Energy & Power Engineering, Nanjing University of Aeronautics & Astronautics, 29 Yudao Street, Nanjing 210016, ChinaCollege of Aerospace Engineering, Nanjing University of Aeronautics & Astronautics, 29 Yudao Street, Nanjing 210016, ChinaChaos control has become an important area of research and consequently many approaches have been proposed to control chaos. This paper proposes a linear regulation method. Different from the existing approaches is that it can provide region of attraction while estimating the bounding behaviour of the norm of the states. The proposed method also possesses design flexibility and can be easily used to cater for special requirement such that control signal should be generated via single input, single state, static feedback and so forth. The applications to the Tigan system, the Genesio chaotic system, the novel chaotic system, and the Lorenz chaotic system justify the above claims.http://dx.doi.org/10.1155/2015/357930 |
| spellingShingle | Jiqiang Wang Weijian Chen Taming Chaos by Linear Regulation with Bound Estimation Journal of Applied Mathematics |
| title | Taming Chaos by Linear Regulation with Bound Estimation |
| title_full | Taming Chaos by Linear Regulation with Bound Estimation |
| title_fullStr | Taming Chaos by Linear Regulation with Bound Estimation |
| title_full_unstemmed | Taming Chaos by Linear Regulation with Bound Estimation |
| title_short | Taming Chaos by Linear Regulation with Bound Estimation |
| title_sort | taming chaos by linear regulation with bound estimation |
| url | http://dx.doi.org/10.1155/2015/357930 |
| work_keys_str_mv | AT jiqiangwang tamingchaosbylinearregulationwithboundestimation AT weijianchen tamingchaosbylinearregulationwithboundestimation |