Synchronization of Complex Networks with Random Coupling Strengths and Mixed Probabilistic Time-Varying Coupling Delays Using Sampled Data
The sampled-data synchronization problem for complex networks with random coupling strengths, probabilistic time-varying coupling delay, and distributed delay (mixed delays) is investigated. The sampling period is assumed to be time varying and bounded. By using the properties of random variables an...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/845304 |
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| _version_ | 1832555967835799552 |
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| author | Jian-An Wang |
| author_facet | Jian-An Wang |
| author_sort | Jian-An Wang |
| collection | DOAJ |
| description | The sampled-data synchronization problem for complex networks with random coupling strengths, probabilistic time-varying coupling delay, and distributed delay (mixed delays) is investigated. The sampling period is assumed to be time varying and bounded. By using the properties of random variables and input delay approach, new synchronization error dynamics are constructed. Based on the delay decomposition method and reciprocally convex approach, a delay-dependent mean square synchronization condition is established in terms of linear matrix inequalities (LMIs). According to the proposed condition, an explicit expression for a set of desired sampled-data controllers can be achieved by solving LMIs. Numerical examples are given to demonstrate the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-09323bb2dc564c79ac83313085063676 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-09323bb2dc564c79ac833130850636762025-02-03T05:46:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/845304845304Synchronization of Complex Networks with Random Coupling Strengths and Mixed Probabilistic Time-Varying Coupling Delays Using Sampled DataJian-An Wang0School of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, ChinaThe sampled-data synchronization problem for complex networks with random coupling strengths, probabilistic time-varying coupling delay, and distributed delay (mixed delays) is investigated. The sampling period is assumed to be time varying and bounded. By using the properties of random variables and input delay approach, new synchronization error dynamics are constructed. Based on the delay decomposition method and reciprocally convex approach, a delay-dependent mean square synchronization condition is established in terms of linear matrix inequalities (LMIs). According to the proposed condition, an explicit expression for a set of desired sampled-data controllers can be achieved by solving LMIs. Numerical examples are given to demonstrate the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2014/845304 |
| spellingShingle | Jian-An Wang Synchronization of Complex Networks with Random Coupling Strengths and Mixed Probabilistic Time-Varying Coupling Delays Using Sampled Data Abstract and Applied Analysis |
| title | Synchronization of Complex Networks with Random Coupling Strengths and Mixed Probabilistic Time-Varying Coupling Delays Using Sampled Data |
| title_full | Synchronization of Complex Networks with Random Coupling Strengths and Mixed Probabilistic Time-Varying Coupling Delays Using Sampled Data |
| title_fullStr | Synchronization of Complex Networks with Random Coupling Strengths and Mixed Probabilistic Time-Varying Coupling Delays Using Sampled Data |
| title_full_unstemmed | Synchronization of Complex Networks with Random Coupling Strengths and Mixed Probabilistic Time-Varying Coupling Delays Using Sampled Data |
| title_short | Synchronization of Complex Networks with Random Coupling Strengths and Mixed Probabilistic Time-Varying Coupling Delays Using Sampled Data |
| title_sort | synchronization of complex networks with random coupling strengths and mixed probabilistic time varying coupling delays using sampled data |
| url | http://dx.doi.org/10.1155/2014/845304 |
| work_keys_str_mv | AT jiananwang synchronizationofcomplexnetworkswithrandomcouplingstrengthsandmixedprobabilistictimevaryingcouplingdelaysusingsampleddata |