H∞-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays
This paper investigates the synchronization of complex dynamical networks with coupling delays and external disturbances by applying local feedback injections to a small fraction of nodes in the whole network. Based on H∞ control theory, some delay-independent and -dependent synchronization criteria...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/275205 |
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| _version_ | 1832549811416465408 |
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| author | Bowen Du Dianfu Ma |
| author_facet | Bowen Du Dianfu Ma |
| author_sort | Bowen Du |
| collection | DOAJ |
| description | This paper investigates the synchronization of complex dynamical networks with coupling delays and external disturbances by applying local feedback injections to a small fraction of nodes in the whole network. Based on H∞ control theory, some delay-independent and -dependent synchronization criteria with a prescribed H∞ disturbances attenuation index are derived for such controlled networks in terms of linear matrix inequalities (LMIs), which guarantee that by placing a small number of feedback controllers on some nodes, the whole network can be pinned to reach network synchronization. A simulation example is included to validate the theoretical results. |
| format | Article |
| id | doaj-art-9e81b81ab70a40268f7680c80fe98f92 |
| 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-9e81b81ab70a40268f7680c80fe98f922025-02-03T06:08:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/275205275205H∞-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling DelaysBowen Du0Dianfu Ma1The Institute of Advanced Computing Technology, Beihang University (BUAA), Beijing 100191, ChinaThe Institute of Advanced Computing Technology, Beihang University (BUAA), Beijing 100191, ChinaThis paper investigates the synchronization of complex dynamical networks with coupling delays and external disturbances by applying local feedback injections to a small fraction of nodes in the whole network. Based on H∞ control theory, some delay-independent and -dependent synchronization criteria with a prescribed H∞ disturbances attenuation index are derived for such controlled networks in terms of linear matrix inequalities (LMIs), which guarantee that by placing a small number of feedback controllers on some nodes, the whole network can be pinned to reach network synchronization. A simulation example is included to validate the theoretical results.http://dx.doi.org/10.1155/2013/275205 |
| spellingShingle | Bowen Du Dianfu Ma H∞-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays Journal of Applied Mathematics |
| title | H∞-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays |
| title_full | H∞-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays |
| title_fullStr | H∞-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays |
| title_full_unstemmed | H∞-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays |
| title_short | H∞-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays |
| title_sort | h∞ based pinning synchronization of general complex dynamical networks with coupling delays |
| url | http://dx.doi.org/10.1155/2013/275205 |
| work_keys_str_mv | AT bowendu hbasedpinningsynchronizationofgeneralcomplexdynamicalnetworkswithcouplingdelays AT dianfuma hbasedpinningsynchronizationofgeneralcomplexdynamicalnetworkswithcouplingdelays |