Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive Control
In this paper, the adaptive nonlinear control method has been deployed to derive new resultsfor the anti-synchronization of identical Tigan systems (2008), identical Li systems (2009) and nonidenticalTigan and Li systems. In adaptive anti-synchronization of identical chaotic systems, theparameters o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Balikesir University
2012-01-01
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| Series: | An International Journal of Optimization and Control: Theories & Applications |
| Subjects: | |
| Online Access: | http://ijocta.balikesir.edu.tr/index.php/files/article/view/76/30 |
| _version_ | 1797912866030878720 |
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| author | Sundarapandian VAIDYANATHAN Karthikeyan RAJAGOPAL |
| author_facet | Sundarapandian VAIDYANATHAN Karthikeyan RAJAGOPAL |
| author_sort | Sundarapandian VAIDYANATHAN |
| collection | DOAJ |
| description | In this paper, the adaptive nonlinear control method has been deployed to derive new resultsfor the anti-synchronization of identical Tigan systems (2008), identical Li systems (2009) and nonidenticalTigan and Li systems. In adaptive anti-synchronization of identical chaotic systems, theparameters of the master and slave systems are unknown and the feedback control law has been derivedusing the estimates of the system parameters. In adaptive anti-synchronization of non-identical chaoticsystems, the parameters of the master system are known, but the parameters of the slave system areunknown and accordingly, the feedback control law has been derived using the estimates of theparameters of the slave system. Our adaptive synchronization results derived in this paper for theuncertain Tigan and Li systems are established using Lyapunov stability theory. Numerical simulationsare shown to demonstrate the effectiveness of the adaptive anti-synchronization schemes for theuncertain chaotic systems addressed in this paper. |
| first_indexed | 2024-04-10T12:03:54Z |
| format | Article |
| id | doaj.art-ada293a45e2a4f5f8752e97581fd284a |
| institution | Directory Open Access Journal |
| issn | 2146-0957 2146-5703 |
| language | English |
| last_indexed | 2024-04-10T12:03:54Z |
| publishDate | 2012-01-01 |
| publisher | Balikesir University |
| record_format | Article |
| series | An International Journal of Optimization and Control: Theories & Applications |
| spelling | doaj.art-ada293a45e2a4f5f8752e97581fd284a2023-02-15T16:16:26ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032012-01-01211728Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive ControlSundarapandian VAIDYANATHANKarthikeyan RAJAGOPALIn this paper, the adaptive nonlinear control method has been deployed to derive new resultsfor the anti-synchronization of identical Tigan systems (2008), identical Li systems (2009) and nonidenticalTigan and Li systems. In adaptive anti-synchronization of identical chaotic systems, theparameters of the master and slave systems are unknown and the feedback control law has been derivedusing the estimates of the system parameters. In adaptive anti-synchronization of non-identical chaoticsystems, the parameters of the master system are known, but the parameters of the slave system areunknown and accordingly, the feedback control law has been derived using the estimates of theparameters of the slave system. Our adaptive synchronization results derived in this paper for theuncertain Tigan and Li systems are established using Lyapunov stability theory. Numerical simulationsare shown to demonstrate the effectiveness of the adaptive anti-synchronization schemes for theuncertain chaotic systems addressed in this paper.http://ijocta.balikesir.edu.tr/index.php/files/article/view/76/30Adaptive controlAnti-synchronizationChaosTigan systemLi system |
| spellingShingle | Sundarapandian VAIDYANATHAN Karthikeyan RAJAGOPAL Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive Control An International Journal of Optimization and Control: Theories & Applications Adaptive control Anti-synchronization Chaos Tigan system Li system |
| title | Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive Control |
| title_full | Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive Control |
| title_fullStr | Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive Control |
| title_full_unstemmed | Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive Control |
| title_short | Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive Control |
| title_sort | anti synchronization of tigan and li systems with unknown parameters via adaptive control |
| topic | Adaptive control Anti-synchronization Chaos Tigan system Li system |
| url | http://ijocta.balikesir.edu.tr/index.php/files/article/view/76/30 |
| work_keys_str_mv | AT sundarapandianvaidyanathan antisynchronizationoftiganandlisystemswithunknownparametersviaadaptivecontrol AT karthikeyanrajagopal antisynchronizationoftiganandlisystemswithunknownparametersviaadaptivecontrol |