Adaptive lag synchronization and parameter identification of fractional order chaotic systems
This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme i...
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| Published in | Chinese physics B Vol. 20; no. 9; pp. 132 - 135 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
01.09.2011
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-1056 2058-3834 |
| DOI | 10.1088/1674-1056/20/9/090512 |
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| Abstract | This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme is analytical and is simple to implement in practice. The well-known fractional order chaotic L/i system is used to illustrate the validity of this theoretic method. |
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| AbstractList | This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme is analytical and is simple to implement in practice. The well-known fractional order chaotic L/i system is used to illustrate the validity of this theoretic method. This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme is analytical and is simple to implement in practice. The well-known fractional order chaotic Lu system is used to illustrate the validity of this theoretic method. |
| Author | 张若洵 杨世平 |
| AuthorAffiliation | College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China College of Elementary Education, Xingtai University, Xingtai 054001, China |
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| CitedBy_id | crossref_primary_10_1088_1674_1056_21_8_080505 crossref_primary_10_1155_2015_240586 crossref_primary_10_1080_21642583_2014_891955 crossref_primary_10_1088_1674_1056_22_6_060508 crossref_primary_10_1088_1674_1056_23_6_060501 crossref_primary_10_1140_epjst_e2016_60399_8 crossref_primary_10_1088_1674_1056_22_8_080507 crossref_primary_10_1088_1674_1056_23_4_040502 crossref_primary_10_1088_1674_1056_22_10_100502 crossref_primary_10_1088_1674_1056_21_12_120507 crossref_primary_10_1088_1674_1056_21_3_030505 crossref_primary_10_1155_2017_3572365 |
| Cites_doi | 10.1088/1674-1056/19/2/020508 10.1016/j.ijnonlinmec.2009.01.001 10.1016/j.physleta.2006.01.068 10.1016/j.physleta.2006.11.053 10.1016/j.physleta.2010.01.058 10.1016/j.amc.2009.06.039 10.1088/1674-1056/18/8/033 10.1016/j.physa.2005.01.021 10.1088/1674-1056/19/9/090502 10.1016/j.jcp.2007.09.015 10.1016/j.chaos.2005.04.032 10.1016/j.chaos.2008.09.042 10.7498/aps.59.7644 10.1016/j.chaos.2005.09.027 10.1016/j.physleta.2007.09.051 10.1016/j.chaos.2004.06.026 10.1016/S0960-0779(02)00438-1 10.1016/j.chaos.2005.04.037 10.7498/aps.58.2957 10.1016/j.chaos.2005.02.023 10.1088/1674-1056/18/7/009 10.1103/PhysRevE.75.056201 10.1016/j.physa.2004.04.113 10.1016/j.physd.2005.09.012 |
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| Notes | Zhang Ruo-Xun and Yang Shi-Ping a） College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China b） College of Elementary Education, Xingtai University, Xingtai 054001, China adaptive lag synchronization, parameter identification, fractional order chaotic system This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme is analytical and is simple to implement in practice. The well-known fractional order chaotic L/i system is used to illustrate the validity of this theoretic method. 11-5639/O4 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| References | 22 Zhang R X (6) 2009; 58 23 24 25 Li C (21) 2005; 23 Zhang R X (14) 2010; 19 10 11 12 13 Zhang R X (7) 2009; 18 18 Zhou P (15) 2009; 18 1 Yang J (17) 2010; 19 Ma T D (19) 2010; 19 2 3 4 Li J F (16) 2010; 59 5 8 9 20 |
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| SubjectTerms | Adaptive systems Chaos theory Laws Mathematical analysis Parameter identification Stability Synchronism Synchronization 分数阶 参数识别 参数辨识 同步 混沌系统 滞后 稳定性理论 自适应 |
| Title | Adaptive lag synchronization and parameter identification of fractional order chaotic systems |
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