Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling
Distributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/548375 |
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| _version_ | 1832549871703293952 |
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| author | Shi Miao Li Junmin |
| author_facet | Shi Miao Li Junmin |
| author_sort | Shi Miao |
| collection | DOAJ |
| description | Distributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into the linearly form. Then effective distributed adaptive techniques are designed to eliminate the effect of time-varying parameters and made the considered network synchronize a given trajectory in the sense of square error norm. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible. An example shows the applicability and feasibility of the approach. |
| format | Article |
| id | doaj-art-9c69dc4a943446f597ac3cc20a6dad6d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9c69dc4a943446f597ac3cc20a6dad6d2025-02-03T06:08:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/548375548375Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type CouplingShi Miao0Li Junmin1Department of Mathematics, Xidian University, Xi’an 710071, ChinaDepartment of Mathematics, Xidian University, Xi’an 710071, ChinaDistributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into the linearly form. Then effective distributed adaptive techniques are designed to eliminate the effect of time-varying parameters and made the considered network synchronize a given trajectory in the sense of square error norm. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible. An example shows the applicability and feasibility of the approach.http://dx.doi.org/10.1155/2013/548375 |
| spellingShingle | Shi Miao Li Junmin Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling Journal of Applied Mathematics |
| title | Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling |
| title_full | Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling |
| title_fullStr | Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling |
| title_full_unstemmed | Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling |
| title_short | Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling |
| title_sort | distributed adaptive synchronization for complex dynamical networks with uncertain nonlinear neutral type coupling |
| url | http://dx.doi.org/10.1155/2013/548375 |
| work_keys_str_mv | AT shimiao distributedadaptivesynchronizationforcomplexdynamicalnetworkswithuncertainnonlinearneutraltypecoupling AT lijunmin distributedadaptivesynchronizationforcomplexdynamicalnetworkswithuncertainnonlinearneutraltypecoupling |