Anti-synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive control
The objective of this article is to implement and extend applications of adaptive control to anti-synchronize different fractional order chaotic and hyperchaotic dynamical systems. The sufficient conditions for achieving anti–synchronization are derived by using the Lyapunov stability theory and an...
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Format: | Article |
Language: | English |
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De Gruyter
2016-01-01
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Series: | Open Physics |
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Online Access: | https://doi.org/10.1515/phys-2016-0033 |
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author | Al-Sawalha M. Mossa Al-Sawalha Ayman |
author_facet | Al-Sawalha M. Mossa Al-Sawalha Ayman |
author_sort | Al-Sawalha M. Mossa |
collection | DOAJ |
description | The objective of this article is to implement and extend applications of adaptive control to anti-synchronize different fractional order chaotic and hyperchaotic dynamical systems. The sufficient conditions for achieving anti–synchronization are derived by using the Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is shown. Theoretical analysis and numerical simulations are shown to verify the results. |
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format | Article |
id | doaj.art-c5d8157b67cf409294473f5069742a52 |
institution | Directory Open Access Journal |
issn | 2391-5471 |
language | English |
last_indexed | 2024-12-16T07:43:28Z |
publishDate | 2016-01-01 |
publisher | De Gruyter |
record_format | Article |
series | Open Physics |
spelling | doaj.art-c5d8157b67cf409294473f5069742a522022-12-21T22:39:02ZengDe GruyterOpen Physics2391-54712016-01-0114130431310.1515/phys-2016-0033phys-2016-0033Anti-synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive controlAl-Sawalha M. Mossa0Al-Sawalha Ayman1Mathematics Department, Faculty of Science, University of Hail, Kingdom of ArabiaPhysics Department, Faculty of Science, Jerash University, Jerash, JordanThe objective of this article is to implement and extend applications of adaptive control to anti-synchronize different fractional order chaotic and hyperchaotic dynamical systems. The sufficient conditions for achieving anti–synchronization are derived by using the Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is shown. Theoretical analysis and numerical simulations are shown to verify the results.https://doi.org/10.1515/phys-2016-0033anti-synchronizationadaptive controlfractional order hyperchaosfractional order chaosunknown parameters05.45.-a47.52.+j89.75.-k |
spellingShingle | Al-Sawalha M. Mossa Al-Sawalha Ayman Anti-synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive control Open Physics anti-synchronization adaptive control fractional order hyperchaos fractional order chaos unknown parameters 05.45.-a 47.52.+j 89.75.-k |
title | Anti-synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive control |
title_full | Anti-synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive control |
title_fullStr | Anti-synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive control |
title_full_unstemmed | Anti-synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive control |
title_short | Anti-synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive control |
title_sort | anti synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive control |
topic | anti-synchronization adaptive control fractional order hyperchaos fractional order chaos unknown parameters 05.45.-a 47.52.+j 89.75.-k |
url | https://doi.org/10.1515/phys-2016-0033 |
work_keys_str_mv | AT alsawalhammossa antisynchronizationoffractionalorderchaoticandhyperchaoticsystemswithfullyunknownparametersusingmodifiedadaptivecontrol AT alsawalhaayman antisynchronizationoffractionalorderchaoticandhyperchaoticsystemswithfullyunknownparametersusingmodifiedadaptivecontrol |