Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays
<p>Abstract</p> <p>In this paper, an integral sliding mode control approach is presented to investigate synchronization of nonidentical chaotic neural networks with discrete and distributed time-varying delays as well as leakage delay. By considering a proper sliding surface and co...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/1/16 |
| _version_ | 1811275189913124864 |
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| author | Cao Jinde Song Qiankun |
| author_facet | Cao Jinde Song Qiankun |
| author_sort | Cao Jinde |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In this paper, an integral sliding mode control approach is presented to investigate synchronization of nonidentical chaotic neural networks with discrete and distributed time-varying delays as well as leakage delay. By considering a proper sliding surface and constructing Lyapunov-Krasovskii functional, as well as employing a combination of the free-weighting matrix method, Newton-Leibniz formulation and inequality technique, a sliding mode controller is designed to achieve the asymptotical synchronization of the addressed nonidentical neural networks. Moreover, a sliding mode control law is also synthesized to guarantee the reachability of the specified sliding surface. The provided conditions are expressed in terms of linear matrix inequalities, and are dependent on the discrete and distributed time delays as well as leakage delay. A simulation example is given to verify the theoretical results.</p> |
| first_indexed | 2024-04-12T23:34:56Z |
| format | Article |
| id | doaj.art-4ad512edba184809b75e2b30763f3194 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-04-12T23:34:56Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-4ad512edba184809b75e2b30763f31942022-12-22T03:12:11ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-012011116Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delaysCao JindeSong Qiankun<p>Abstract</p> <p>In this paper, an integral sliding mode control approach is presented to investigate synchronization of nonidentical chaotic neural networks with discrete and distributed time-varying delays as well as leakage delay. By considering a proper sliding surface and constructing Lyapunov-Krasovskii functional, as well as employing a combination of the free-weighting matrix method, Newton-Leibniz formulation and inequality technique, a sliding mode controller is designed to achieve the asymptotical synchronization of the addressed nonidentical neural networks. Moreover, a sliding mode control law is also synthesized to guarantee the reachability of the specified sliding surface. The provided conditions are expressed in terms of linear matrix inequalities, and are dependent on the discrete and distributed time delays as well as leakage delay. A simulation example is given to verify the theoretical results.</p>http://www.advancesindifferenceequations.com/content/2011/1/16SynchronizationChaotic neural networkLeakage delayDiscrete time-varying delaysDistributed time-varying delays 05.45.Xt 05.45.Gg |
| spellingShingle | Cao Jinde Song Qiankun Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays Advances in Difference Equations Synchronization Chaotic neural network Leakage delay Discrete time-varying delays Distributed time-varying delays 05.45.Xt 05.45.Gg |
| title | Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays |
| title_full | Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays |
| title_fullStr | Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays |
| title_full_unstemmed | Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays |
| title_short | Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays |
| title_sort | synchronization of nonidentical chaotic neural networks with leakage delay and mixed time varying delays |
| topic | Synchronization Chaotic neural network Leakage delay Discrete time-varying delays Distributed time-varying delays 05.45.Xt 05.45.Gg |
| url | http://www.advancesindifferenceequations.com/content/2011/1/16 |
| work_keys_str_mv | AT caojinde synchronizationofnonidenticalchaoticneuralnetworkswithleakagedelayandmixedtimevaryingdelays AT songqiankun synchronizationofnonidenticalchaoticneuralnetworkswithleakagedelayandmixedtimevaryingdelays |