The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks
We consider a class of complex networks with both delayed and nondelayed coupling. In particular, we consider the situation for both time delay-independent and time delay-dependent complex dynamical networks and obtain sufficient conditions for their asymptotic synchronization by using the Lyapunov-...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/309289 |
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| _version_ | 1832567403601461248 |
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| author | Ze Tang Jianwen Feng |
| author_facet | Ze Tang Jianwen Feng |
| author_sort | Ze Tang |
| collection | DOAJ |
| description | We consider a class of complex networks with both delayed and nondelayed coupling. In particular, we consider the situation for both time delay-independent and time delay-dependent complex dynamical networks and obtain sufficient conditions for their asymptotic synchronization by using the Lyapunov-Krasovskii stability theorem and the linear matrix inequality (LMI). We also present some simulation results to support the validity of the theories. |
| format | Article |
| id | doaj-art-c80163ed4bcd48aea7fc30625e2476a5 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-c80163ed4bcd48aea7fc30625e2476a52025-02-03T01:01:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392012-01-01201210.1155/2012/309289309289The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical NetworksZe Tang0Jianwen Feng1College of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaWe consider a class of complex networks with both delayed and nondelayed coupling. In particular, we consider the situation for both time delay-independent and time delay-dependent complex dynamical networks and obtain sufficient conditions for their asymptotic synchronization by using the Lyapunov-Krasovskii stability theorem and the linear matrix inequality (LMI). We also present some simulation results to support the validity of the theories.http://dx.doi.org/10.1155/2012/309289 |
| spellingShingle | Ze Tang Jianwen Feng The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks Advances in Mathematical Physics |
| title | The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks |
| title_full | The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks |
| title_fullStr | The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks |
| title_full_unstemmed | The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks |
| title_short | The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks |
| title_sort | asymptotic synchronization analysis for two kinds of complex dynamical networks |
| url | http://dx.doi.org/10.1155/2012/309289 |
| work_keys_str_mv | AT zetang theasymptoticsynchronizationanalysisfortwokindsofcomplexdynamicalnetworks AT jianwenfeng theasymptoticsynchronizationanalysisfortwokindsofcomplexdynamicalnetworks AT zetang asymptoticsynchronizationanalysisfortwokindsofcomplexdynamicalnetworks AT jianwenfeng asymptoticsynchronizationanalysisfortwokindsofcomplexdynamicalnetworks |