Parameter Identification and Synchronization of Dynamical System by Introducing an Auxiliary Subsystem
We propose a novel approach of parameter identification using the adaptive synchronized observer by introducing an auxiliary subsystem, and some sufficient conditions are given to guarantee the convergence of synchronization and parameter identification. We also demonstrate the mean convergence of s...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/808403 |
| _version_ | 1811317922652487680 |
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| author | Haipeng Peng Lixiang Li Fei Sun Yixian Yang Xiaowen Li |
| author_facet | Haipeng Peng Lixiang Li Fei Sun Yixian Yang Xiaowen Li |
| author_sort | Haipeng Peng |
| collection | DOAJ |
| description | We propose a novel approach of parameter identification using the adaptive synchronized observer by introducing an auxiliary subsystem, and some sufficient conditions are given to guarantee the convergence of synchronization and parameter identification. We also demonstrate the mean convergence of synchronization and parameters identification under the influence of noise. Furthermore, in order to suppress the influence of noise, we complement a filter in the output. Numerical simulations on Lorenz and Chen systems are presented to demonstrate the effectiveness of the proposed approach. |
| first_indexed | 2024-04-13T12:16:50Z |
| format | Article |
| id | doaj.art-1fd1cce038534d32a9a1bebda5bd5b45 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-04-13T12:16:50Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-1fd1cce038534d32a9a1bebda5bd5b452022-12-22T02:47:19ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-01201010.1155/2010/808403Parameter Identification and Synchronization of Dynamical System by Introducing an Auxiliary SubsystemHaipeng PengLixiang LiFei SunYixian YangXiaowen LiWe propose a novel approach of parameter identification using the adaptive synchronized observer by introducing an auxiliary subsystem, and some sufficient conditions are given to guarantee the convergence of synchronization and parameter identification. We also demonstrate the mean convergence of synchronization and parameters identification under the influence of noise. Furthermore, in order to suppress the influence of noise, we complement a filter in the output. Numerical simulations on Lorenz and Chen systems are presented to demonstrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2010/808403 |
| spellingShingle | Haipeng Peng Lixiang Li Fei Sun Yixian Yang Xiaowen Li Parameter Identification and Synchronization of Dynamical System by Introducing an Auxiliary Subsystem Advances in Difference Equations |
| title | Parameter Identification and Synchronization of Dynamical System by Introducing an Auxiliary Subsystem |
| title_full | Parameter Identification and Synchronization of Dynamical System by Introducing an Auxiliary Subsystem |
| title_fullStr | Parameter Identification and Synchronization of Dynamical System by Introducing an Auxiliary Subsystem |
| title_full_unstemmed | Parameter Identification and Synchronization of Dynamical System by Introducing an Auxiliary Subsystem |
| title_short | Parameter Identification and Synchronization of Dynamical System by Introducing an Auxiliary Subsystem |
| title_sort | parameter identification and synchronization of dynamical system by introducing an auxiliary subsystem |
| url | http://dx.doi.org/10.1155/2010/808403 |
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