H∞ Synchronization of Semi-Markovian Jump Neural Networks with Randomly Occurring Time-Varying Delays
Based on the Lyapunov stability theory, this paper mainly investigates the H∞ synchronization problem for semi-Markovian jump neural networks (semi-MJNNs) with randomly occurring time-varying delays (TVDs). The continuous-time semi-MJNNs, where the transition rates are dependent on sojourn time, are...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/8094292 |
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| _version_ | 1832563852087132160 |
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| author | Mengping Xing Hao Shen Zhen Wang |
| author_facet | Mengping Xing Hao Shen Zhen Wang |
| author_sort | Mengping Xing |
| collection | DOAJ |
| description | Based on the Lyapunov stability theory, this paper mainly investigates the H∞ synchronization problem for semi-Markovian jump neural networks (semi-MJNNs) with randomly occurring time-varying delays (TVDs). The continuous-time semi-MJNNs, where the transition rates are dependent on sojourn time, are introduced to make the issue under our consideration more general. One of the main characteristics of our work is the handling of TVDs. In addition to using the improved Jensen inequality and the reciprocal convexity lemma to deal with the integral inequality, we also employ Schur complement and the projection lemma to achieve the decoupling between the square term of TVDs. Finally, we verify the validity and feasibility of our method by a couple of simulation examples. |
| format | Article |
| id | doaj-art-8203960412104ef2a8cbe52ecbb0b4d8 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8203960412104ef2a8cbe52ecbb0b4d82025-02-03T01:12:26ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/80942928094292H∞ Synchronization of Semi-Markovian Jump Neural Networks with Randomly Occurring Time-Varying DelaysMengping Xing0Hao Shen1Zhen Wang2School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 243002, ChinaSchool of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 243002, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaBased on the Lyapunov stability theory, this paper mainly investigates the H∞ synchronization problem for semi-Markovian jump neural networks (semi-MJNNs) with randomly occurring time-varying delays (TVDs). The continuous-time semi-MJNNs, where the transition rates are dependent on sojourn time, are introduced to make the issue under our consideration more general. One of the main characteristics of our work is the handling of TVDs. In addition to using the improved Jensen inequality and the reciprocal convexity lemma to deal with the integral inequality, we also employ Schur complement and the projection lemma to achieve the decoupling between the square term of TVDs. Finally, we verify the validity and feasibility of our method by a couple of simulation examples.http://dx.doi.org/10.1155/2018/8094292 |
| spellingShingle | Mengping Xing Hao Shen Zhen Wang H∞ Synchronization of Semi-Markovian Jump Neural Networks with Randomly Occurring Time-Varying Delays Complexity |
| title | H∞ Synchronization of Semi-Markovian Jump Neural Networks with Randomly Occurring Time-Varying Delays |
| title_full | H∞ Synchronization of Semi-Markovian Jump Neural Networks with Randomly Occurring Time-Varying Delays |
| title_fullStr | H∞ Synchronization of Semi-Markovian Jump Neural Networks with Randomly Occurring Time-Varying Delays |
| title_full_unstemmed | H∞ Synchronization of Semi-Markovian Jump Neural Networks with Randomly Occurring Time-Varying Delays |
| title_short | H∞ Synchronization of Semi-Markovian Jump Neural Networks with Randomly Occurring Time-Varying Delays |
| title_sort | h∞ synchronization of semi markovian jump neural networks with randomly occurring time varying delays |
| url | http://dx.doi.org/10.1155/2018/8094292 |
| work_keys_str_mv | AT mengpingxing hsynchronizationofsemimarkovianjumpneuralnetworkswithrandomlyoccurringtimevaryingdelays AT haoshen hsynchronizationofsemimarkovianjumpneuralnetworkswithrandomlyoccurringtimevaryingdelays AT zhenwang hsynchronizationofsemimarkovianjumpneuralnetworkswithrandomlyoccurringtimevaryingdelays |