Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive Control
The modified projective outer synchronization between two different fractional order complex dynamical networks with different node dynamics and different topological structures is investigated in this paper. Based on the stability theorem of fractional order systems, the adaptive controllers and su...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/580378 |
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| _version_ | 1849411223870767104 |
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| author | Hong-juan Liu Guo-qi Liu Hai Yu Zhi-liang Zhu |
| author_facet | Hong-juan Liu Guo-qi Liu Hai Yu Zhi-liang Zhu |
| author_sort | Hong-juan Liu |
| collection | DOAJ |
| description | The modified projective outer synchronization between two different fractional order complex dynamical networks with different node dynamics and different topological structures is investigated in this paper. Based on the stability theorem of fractional order systems, the adaptive controllers and sufficient criteria for achieving the synchronization are given by applying the nonlinear control. The proposed method is also applicable to modified projective outer synchronization between two fractional order complex networks with identical topological structures. In addition, there are fewer restrictions on the coupling configuration matrix and inner-coupling matrix. The corresponding numerical results coincide with theoretical analysis, which also show that feedback strength and fractional order can effectively affect the synchronization performance. |
| format | Article |
| id | doaj-art-616c78d4e6484dd8aed775d7ae22b5dc |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-616c78d4e6484dd8aed775d7ae22b5dc2025-08-20T03:34:51ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/580378580378Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive ControlHong-juan Liu0Guo-qi Liu1Hai Yu2Zhi-liang Zhu3Software College, Northeastern University, Shenyang 110819, ChinaSoftware College, Northeastern University, Shenyang 110819, ChinaSoftware College, Northeastern University, Shenyang 110819, ChinaSoftware College, Northeastern University, Shenyang 110819, ChinaThe modified projective outer synchronization between two different fractional order complex dynamical networks with different node dynamics and different topological structures is investigated in this paper. Based on the stability theorem of fractional order systems, the adaptive controllers and sufficient criteria for achieving the synchronization are given by applying the nonlinear control. The proposed method is also applicable to modified projective outer synchronization between two fractional order complex networks with identical topological structures. In addition, there are fewer restrictions on the coupling configuration matrix and inner-coupling matrix. The corresponding numerical results coincide with theoretical analysis, which also show that feedback strength and fractional order can effectively affect the synchronization performance.http://dx.doi.org/10.1155/2014/580378 |
| spellingShingle | Hong-juan Liu Guo-qi Liu Hai Yu Zhi-liang Zhu Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive Control Discrete Dynamics in Nature and Society |
| title | Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive Control |
| title_full | Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive Control |
| title_fullStr | Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive Control |
| title_full_unstemmed | Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive Control |
| title_short | Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive Control |
| title_sort | modified projective outer synchronization between two fractional order complex networks via adaptive control |
| url | http://dx.doi.org/10.1155/2014/580378 |
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