Exponential Synchronization for Impulsive Dynamical Networks
This paper is devoted to exponential synchronization for complex dynamical networks with delay and impulsive effects. The coupling configuration matrix is assumed to be irreducible. By using impulsive differential inequality and the Kronecker product techniques, some criteria are obtained to guarant...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/232794 |
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| _version_ | 1832567224047501312 |
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| author | Lijun Pan Jinde Cao |
| author_facet | Lijun Pan Jinde Cao |
| author_sort | Lijun Pan |
| collection | DOAJ |
| description | This paper is devoted to exponential synchronization for complex dynamical networks with delay and impulsive effects. The coupling configuration matrix is assumed to be irreducible. By using impulsive differential inequality and the Kronecker product techniques, some criteria are obtained to guarantee the exponential synchronization for dynamical networks. We also extend the delay fractioning approach to the dynamical networks by constructing a Lyapunov-Krasovskii functional and comparing to a linear discrete system. Meanwhile, numerical examples are given to demonstrate the theoretical results. |
| format | Article |
| id | doaj-art-39bf07fbc97f4c38955ce444dc66f8f3 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-39bf07fbc97f4c38955ce444dc66f8f32025-02-03T01:02:01ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/232794232794Exponential Synchronization for Impulsive Dynamical NetworksLijun Pan0Jinde Cao1Department of Mathematics, Southeast University, Nanjing 210096, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaThis paper is devoted to exponential synchronization for complex dynamical networks with delay and impulsive effects. The coupling configuration matrix is assumed to be irreducible. By using impulsive differential inequality and the Kronecker product techniques, some criteria are obtained to guarantee the exponential synchronization for dynamical networks. We also extend the delay fractioning approach to the dynamical networks by constructing a Lyapunov-Krasovskii functional and comparing to a linear discrete system. Meanwhile, numerical examples are given to demonstrate the theoretical results.http://dx.doi.org/10.1155/2012/232794 |
| spellingShingle | Lijun Pan Jinde Cao Exponential Synchronization for Impulsive Dynamical Networks Discrete Dynamics in Nature and Society |
| title | Exponential Synchronization for Impulsive Dynamical Networks |
| title_full | Exponential Synchronization for Impulsive Dynamical Networks |
| title_fullStr | Exponential Synchronization for Impulsive Dynamical Networks |
| title_full_unstemmed | Exponential Synchronization for Impulsive Dynamical Networks |
| title_short | Exponential Synchronization for Impulsive Dynamical Networks |
| title_sort | exponential synchronization for impulsive dynamical networks |
| url | http://dx.doi.org/10.1155/2012/232794 |
| work_keys_str_mv | AT lijunpan exponentialsynchronizationforimpulsivedynamicalnetworks AT jindecao exponentialsynchronizationforimpulsivedynamicalnetworks |