H∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching
H∞ cluster synchronization problem for a class of neutral complex dynamical networks (NCDNs) with Markovian switching is investigated in this paper. Both the retarded and neutral delays are considered to be interval mode dependent and time varying. The concept of H∞ cluster synchronization is propos...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/785706 |
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| author | Xinghua Liu |
| author_facet | Xinghua Liu |
| author_sort | Xinghua Liu |
| collection | DOAJ |
| description | H∞ cluster synchronization problem for a class of neutral complex dynamical networks (NCDNs) with Markovian switching is investigated in this paper. Both the retarded and neutral delays are considered to be interval mode dependent and time varying. The concept of H∞ cluster synchronization is proposed to quantify the attenuation level of synchronization error dynamics against the exogenous disturbance of the NCDNs. Based on a novel Lyapunov functional, by employing some integral inequalities and the nature of convex combination, mode delay-range-dependent H∞ cluster synchronization criteria are derived in the form of linear matrix inequalities which depend not only on the disturbance attenuation but also on the initial values of the NCDNs. Finally, numerical examples are given
to demonstrate the feasibility and effectiveness of the proposed theoretical results. |
| format | Article |
| id | doaj-art-6249a96e62914c12921d5bdfd317fcf0 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-6249a96e62914c12921d5bdfd317fcf02025-02-03T01:30:20ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/785706785706H∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian SwitchingXinghua Liu0Department of Auto, School of Information Science and Technology, University of Science and Technology of China, Anhui 230027, ChinaH∞ cluster synchronization problem for a class of neutral complex dynamical networks (NCDNs) with Markovian switching is investigated in this paper. Both the retarded and neutral delays are considered to be interval mode dependent and time varying. The concept of H∞ cluster synchronization is proposed to quantify the attenuation level of synchronization error dynamics against the exogenous disturbance of the NCDNs. Based on a novel Lyapunov functional, by employing some integral inequalities and the nature of convex combination, mode delay-range-dependent H∞ cluster synchronization criteria are derived in the form of linear matrix inequalities which depend not only on the disturbance attenuation but also on the initial values of the NCDNs. Finally, numerical examples are given to demonstrate the feasibility and effectiveness of the proposed theoretical results.http://dx.doi.org/10.1155/2014/785706 |
| spellingShingle | Xinghua Liu H∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching The Scientific World Journal |
| title | H∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching |
| title_full | H∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching |
| title_fullStr | H∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching |
| title_full_unstemmed | H∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching |
| title_short | H∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching |
| title_sort | h∞ cluster synchronization for a class of neutral complex dynamical networks with markovian switching |
| url | http://dx.doi.org/10.1155/2014/785706 |
| work_keys_str_mv | AT xinghualiu hclustersynchronizationforaclassofneutralcomplexdynamicalnetworkswithmarkovianswitching |