The synchronization of fractional-order chaotic systems via sliding mode control
In this paper, the sliding mode control method is proposed to realize the synchronization of two fractional-order chaotic systems whether they are identical or not. The fractional derivatives are described in the Caputo sense. The design can also be applied to the synchronization of two fractional-o...
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creator | Yongguang Yu Yu Song Xinshu Lin Jing Bai |
description | In this paper, the sliding mode control method is proposed to realize the synchronization of two fractional-order chaotic systems whether they are identical or not. The fractional derivatives are described in the Caputo sense. The design can also be applied to the synchronization of two fractional-order hyperchaotic systems. Finally, some numerical simulations are given to illustrate the effectiveness of the proposed method. The simulations are all implemented using predictor-corrector method to solve the fractional-order differential equations. |
doi_str_mv | 10.1109/ICICIP.2011.6008198 |
format | Conference Proceeding |
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The fractional derivatives are described in the Caputo sense. The design can also be applied to the synchronization of two fractional-order hyperchaotic systems. Finally, some numerical simulations are given to illustrate the effectiveness of the proposed method. The simulations are all implemented using predictor-corrector method to solve the fractional-order differential equations.</description><identifier>ISBN: 1457708132</identifier><identifier>ISBN: 9781457708138</identifier><identifier>EISBN: 1457708159</identifier><identifier>EISBN: 1457708167</identifier><identifier>EISBN: 9781457708169</identifier><identifier>EISBN: 9781457708152</identifier><identifier>DOI: 10.1109/ICICIP.2011.6008198</identifier><language>eng</language><publisher>IEEE</publisher><subject>Chaos ; Differential equations ; Fractals ; Sliding mode control ; Solitons ; Synchronization</subject><ispartof>2011 2nd International Conference on Intelligent Control and Information Processing, 2011, Vol.1, p.56-60</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/6008198$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2052,27902,54895</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/6008198$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Yongguang Yu</creatorcontrib><creatorcontrib>Yu Song</creatorcontrib><creatorcontrib>Xinshu Lin</creatorcontrib><creatorcontrib>Jing Bai</creatorcontrib><title>The synchronization of fractional-order chaotic systems via sliding mode control</title><title>2011 2nd International Conference on Intelligent Control and Information Processing</title><addtitle>ICICIP</addtitle><description>In this paper, the sliding mode control method is proposed to realize the synchronization of two fractional-order chaotic systems whether they are identical or not. The fractional derivatives are described in the Caputo sense. The design can also be applied to the synchronization of two fractional-order hyperchaotic systems. Finally, some numerical simulations are given to illustrate the effectiveness of the proposed method. The simulations are all implemented using predictor-corrector method to solve the fractional-order differential equations.</description><subject>Chaos</subject><subject>Differential equations</subject><subject>Fractals</subject><subject>Sliding mode control</subject><subject>Solitons</subject><subject>Synchronization</subject><isbn>1457708132</isbn><isbn>9781457708138</isbn><isbn>1457708159</isbn><isbn>1457708167</isbn><isbn>9781457708169</isbn><isbn>9781457708152</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2011</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpFUM1qwzAY8xiDbV2foBe_QDJ_dvI5Po6wn0KhPeRejH8alyQedhh0T7-MFSYdJIHQQYRsgJUATD1v24WHkjOAEhlrQDU35BGqWsol1Or2Pwh-T9Y5n9kCRCVr9kAOXe9ovkymT3EK33oOcaLRU5-0-fV6KGKyLlHT6zgHs3Tz7MZMv4KmeQg2TCc6RuuoidOc4vBE7rwesltfdUW6t9eu_Sh2-_dt-7IrgmJzYcBWwK1Ai947r603SgKXCMboynNErGq0IBpE7RuvLGoUslaSL3UnxIps_maDc-74mcKo0-V4PUD8AL7HUUU</recordid><startdate>201107</startdate><enddate>201107</enddate><creator>Yongguang Yu</creator><creator>Yu Song</creator><creator>Xinshu Lin</creator><creator>Jing Bai</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201107</creationdate><title>The synchronization of fractional-order chaotic systems via sliding mode control</title><author>Yongguang Yu ; Yu Song ; Xinshu Lin ; Jing Bai</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-c1d412d36d6ffefadfc9712761cca4f2666456d13866af8f9d6a6375972fefe33</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Chaos</topic><topic>Differential equations</topic><topic>Fractals</topic><topic>Sliding mode control</topic><topic>Solitons</topic><topic>Synchronization</topic><toplevel>online_resources</toplevel><creatorcontrib>Yongguang Yu</creatorcontrib><creatorcontrib>Yu Song</creatorcontrib><creatorcontrib>Xinshu Lin</creatorcontrib><creatorcontrib>Jing Bai</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Yongguang Yu</au><au>Yu Song</au><au>Xinshu Lin</au><au>Jing Bai</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>The synchronization of fractional-order chaotic systems via sliding mode control</atitle><btitle>2011 2nd International Conference on Intelligent Control and Information Processing</btitle><stitle>ICICIP</stitle><date>2011-07</date><risdate>2011</risdate><volume>1</volume><spage>56</spage><epage>60</epage><pages>56-60</pages><isbn>1457708132</isbn><isbn>9781457708138</isbn><eisbn>1457708159</eisbn><eisbn>1457708167</eisbn><eisbn>9781457708169</eisbn><eisbn>9781457708152</eisbn><abstract>In this paper, the sliding mode control method is proposed to realize the synchronization of two fractional-order chaotic systems whether they are identical or not. The fractional derivatives are described in the Caputo sense. The design can also be applied to the synchronization of two fractional-order hyperchaotic systems. Finally, some numerical simulations are given to illustrate the effectiveness of the proposed method. The simulations are all implemented using predictor-corrector method to solve the fractional-order differential equations.</abstract><pub>IEEE</pub><doi>10.1109/ICICIP.2011.6008198</doi><tpages>5</tpages></addata></record> |
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subjects | Chaos Differential equations Fractals Sliding mode control Solitons Synchronization |
title | The synchronization of fractional-order chaotic systems via sliding mode control |
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