Adaptive feedback control and synchronization of non-identical chaotic fractional order systems
Identifieur interne : 000030 ( Hal/Corpus ); précédent : 000029; suivant : 000031Adaptive feedback control and synchronization of non-identical chaotic fractional order systems
Auteurs : Zaid M. OdibatSource :
- Nonlinear Dynamics [ 0924-090X ] ; 2009-11-05.
English descriptors
- mix :
Abstract
This paper addresses the reliable synchronization problem between two non-identical chaotic fractional order systems. In this work, we present an adaptive feedback control scheme for the synchronization of two coupled chaotic fractional order systems with different fractional orders. Based on the stability results of linear fractional order systems and Laplace transform theory, using the master-slave synchronization scheme, sufficient conditions for chaos synchronization are derived. The designed controller ensures that fractional order chaotic oscillators that have non-identical fractional orders can be synchronized with suitable feedback controller applied to the response system. Numerical simulations are performed to assess the performance of the proposed adaptive controller in synchronizing chaotic systems.
Url:
DOI: 10.1007/s11071-009-9609-6
Links to Exploration step
Hal:hal-00568401Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Adaptive feedback control and synchronization of non-identical chaotic fractional order systems</title><author><name sortKey="Odibat, Zaid M" sort="Odibat, Zaid M" uniqKey="Odibat Z" first="Zaid M." last="Odibat">Zaid M. Odibat</name><affiliation><hal:affiliation type="laboratory" xml:id="struct-145053" status="INCOMING"><orgName>Faculty of Science and Technology</orgName><desc><address><addrLine>76058;Le Havre Cedex</addrLine><country key="FR"></country></address></desc><listRelation><relation active="#struct-329471" type="direct"></relation></listRelation><tutelles><tutelle active="#struct-329471" type="direct"><org type="institution" xml:id="struct-329471" status="INCOMING"><orgName>University of Le Havre</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">HAL</idno><idno type="RBID">Hal:hal-00568401</idno><idno type="halId">hal-00568401</idno><idno type="halUri">https://hal.archives-ouvertes.fr/hal-00568401</idno><idno type="url">https://hal.archives-ouvertes.fr/hal-00568401</idno><idno type="doi">10.1007/s11071-009-9609-6</idno><date when="2009-11-05">2009-11-05</date><idno type="wicri:Area/Hal/Corpus">000030</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Adaptive feedback control and synchronization of non-identical chaotic fractional order systems</title><author><name sortKey="Odibat, Zaid M" sort="Odibat, Zaid M" uniqKey="Odibat Z" first="Zaid M." last="Odibat">Zaid M. Odibat</name><affiliation><hal:affiliation type="laboratory" xml:id="struct-145053" status="INCOMING"><orgName>Faculty of Science and Technology</orgName><desc><address><addrLine>76058;Le Havre Cedex</addrLine><country key="FR"></country></address></desc><listRelation><relation active="#struct-329471" type="direct"></relation></listRelation><tutelles><tutelle active="#struct-329471" type="direct"><org type="institution" xml:id="struct-329471" status="INCOMING"><orgName>University of Le Havre</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation></affiliation></author></analytic><idno type="DOI">10.1007/s11071-009-9609-6</idno><series><title level="j">Nonlinear Dynamics</title><idno type="ISSN">0924-090X</idno><imprint><date type="datePub">2009-11-05</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>Caputo fractional derivative</term><term>Chaos synchronization</term><term>Feedback control</term><term>Fractional order system</term><term>Stability</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">This paper addresses the reliable synchronization problem between two non-identical chaotic fractional order systems. In this work, we present an adaptive feedback control scheme for the synchronization of two coupled chaotic fractional order systems with different fractional orders. Based on the stability results of linear fractional order systems and Laplace transform theory, using the master-slave synchronization scheme, sufficient conditions for chaos synchronization are derived. The designed controller ensures that fractional order chaotic oscillators that have non-identical fractional orders can be synchronized with suitable feedback controller applied to the response system. Numerical simulations are performed to assess the performance of the proposed adaptive controller in synchronizing chaotic systems.</div></front></TEI><hal api="V3"><titleStmt><title xml:lang="en">Adaptive feedback control and synchronization of non-identical chaotic fractional order systems</title><author role="crp"><persName><forename type="first">Zaid M.</forename><surname>Odibat</surname></persName><email>z.odibat@gmail.com</email><idno type="halauthor">582362</idno><affiliation ref="#struct-145053"></affiliation></author><editor role="depositor"><persName><forename>Hal</forename><surname>Peer</surname></persName><email>Jacques.Millet@inria.fr</email></editor></titleStmt><editionStmt><edition n="v1" type="current"><date type="whenSubmitted">2011-02-23 03:34:37</date><date type="whenWritten">2009-04-14</date><date type="whenModified">2011-02-23 03:34:37</date><date type="whenReleased">2011-02-23 03:34:37</date><date type="whenProduced">2009-11-05</date><date type="whenEndEmbargoed">2011-02-23</date><ref type="file" target="https://hal.archives-ouvertes.fr/hal-00568401/document"><date notBefore="2011-02-23"></date></ref><ref type="file" subtype="author" n="1" target="https://hal.archives-ouvertes.fr/hal-00568401/file/PEER_stage2_10.1007%252Fs11071-009-9609-6.pdf"><date notBefore="2011-02-23"></date></ref></edition><respStmt><resp>contributor</resp><name key="148147"><persName><forename>Hal</forename><surname>Peer</surname></persName><email>Jacques.Millet@inria.fr</email></name></respStmt></editionStmt><publicationStmt><distributor>CCSD</distributor><idno type="halId">hal-00568401</idno><idno type="halUri">https://hal.archives-ouvertes.fr/hal-00568401</idno><idno type="halBibtex">odibat:hal-00568401</idno><idno type="halRefHtml">Nonlinear Dynamics, Springer Verlag, 2009, 60 (4), pp.479-487. <10.1007/s11071-009-9609-6></idno><idno type="halRef">Nonlinear Dynamics, Springer Verlag, 2009, 60 (4), pp.479-487. <10.1007/s11071-009-9609-6></idno></publicationStmt><seriesStmt><idno type="stamp" n="PEER">PEER Publishing and the Ecology of European Research</idno></seriesStmt><notesStmt><note type="audience" n="2">International</note><note type="popular" n="0">No</note><note type="peer" n="1">Yes</note></notesStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Adaptive feedback control and synchronization of non-identical chaotic fractional order systems</title><author role="crp"><persName><forename type="first">Zaid M.</forename><surname>Odibat</surname></persName><email>z.odibat@gmail.com</email><idno type="halAuthorId">582362</idno><affiliation ref="#struct-145053"></affiliation></author></analytic><monogr><idno type="halJournalId" status="VALID">17482</idno><idno type="issn">0924-090X</idno><idno type="eissn">1573-269X</idno><title level="j">Nonlinear Dynamics</title><imprint><publisher>Springer Verlag</publisher><biblScope unit="volume">60</biblScope><biblScope unit="issue">4</biblScope><biblScope unit="pp">479-487</biblScope><date type="datePub">2009-11-05</date></imprint></monogr><idno type="doi">10.1007/s11071-009-9609-6</idno></biblStruct></sourceDesc><profileDesc><langUsage><language ident="en">English</language></langUsage><textClass><keywords scheme="author"><term xml:lang="en">Chaos synchronization</term><term xml:lang="en">Fractional order system</term><term xml:lang="en">Caputo fractional derivative</term><term xml:lang="en">Stability</term><term xml:lang="en">Feedback control</term></keywords><classCode scheme="halTypology" n="ART">Journal articles</classCode></textClass><abstract xml:lang="en">This paper addresses the reliable synchronization problem between two non-identical chaotic fractional order systems. In this work, we present an adaptive feedback control scheme for the synchronization of two coupled chaotic fractional order systems with different fractional orders. Based on the stability results of linear fractional order systems and Laplace transform theory, using the master-slave synchronization scheme, sufficient conditions for chaos synchronization are derived. The designed controller ensures that fractional order chaotic oscillators that have non-identical fractional orders can be synchronized with suitable feedback controller applied to the response system. Numerical simulations are performed to assess the performance of the proposed adaptive controller in synchronizing chaotic systems.</abstract></profileDesc></hal></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/France/explor/LeHavreV1/Data/Hal/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000030 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Hal/Corpus/biblio.hfd -nk 000030 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/France
|area= LeHavreV1
|flux= Hal
|étape= Corpus
|type= RBID
|clé= Hal:hal-00568401
|texte= Adaptive feedback control and synchronization of non-identical chaotic fractional order systems
}}
| This area was generated with Dilib version V0.6.25. |  |