Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays
The interval exponential state estimation and robust exponential stability for the switched interval neural networks with discrete and distributed time delays are considered. Firstly, by combining the theories of the switched systems and the interval neural networks, the mathematical model of the sw...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/103542 |
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| author | Hongwen Xu Huaiqin Wu Ning Li |
| author_facet | Hongwen Xu Huaiqin Wu Ning Li |
| author_sort | Hongwen Xu |
| collection | DOAJ |
| description | The interval exponential state estimation and robust exponential stability for the switched interval neural networks with discrete and distributed time
delays are considered. Firstly, by combining the theories of the switched systems and the interval neural networks, the mathematical model of the switched interval neural networks with discrete and distributed time delays and the interval estimation error system are established. Secondly, by applying the augmented Lyapunov-Krasovskii functional approach and available output measurements, the dynamics of estimation error system is proved to be globally exponentially stable for all admissible time delays. Both the existence conditions and the explicit characterization of desired estimator are derived in terms of linear matrix inequalities (LMIs). Moreover, a delay-dependent criterion is also developed, which guarantees the robust exponential stability of the switched interval neural networks with discrete and distributed time delays. Finally, two numerical examples are provided to illustrate the validity of the theoretical results. |
| format | Article |
| id | doaj-art-5220b5778f29465ab76235792adba49d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5220b5778f29465ab76235792adba49d2025-02-03T05:45:15ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/103542103542Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time DelaysHongwen Xu0Huaiqin Wu1Ning Li2Department of Mathematics, Mudanjiang Normal University, Heilongjiang 157012, ChinaDepartment of Applied Mathematics, Yanshan University, Qinhuangdao 066004, ChinaDepartment of Applied Mathematics, Yanshan University, Qinhuangdao 066004, ChinaThe interval exponential state estimation and robust exponential stability for the switched interval neural networks with discrete and distributed time delays are considered. Firstly, by combining the theories of the switched systems and the interval neural networks, the mathematical model of the switched interval neural networks with discrete and distributed time delays and the interval estimation error system are established. Secondly, by applying the augmented Lyapunov-Krasovskii functional approach and available output measurements, the dynamics of estimation error system is proved to be globally exponentially stable for all admissible time delays. Both the existence conditions and the explicit characterization of desired estimator are derived in terms of linear matrix inequalities (LMIs). Moreover, a delay-dependent criterion is also developed, which guarantees the robust exponential stability of the switched interval neural networks with discrete and distributed time delays. Finally, two numerical examples are provided to illustrate the validity of the theoretical results.http://dx.doi.org/10.1155/2012/103542 |
| spellingShingle | Hongwen Xu Huaiqin Wu Ning Li Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays Abstract and Applied Analysis |
| title | Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays |
| title_full | Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays |
| title_fullStr | Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays |
| title_full_unstemmed | Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays |
| title_short | Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays |
| title_sort | switched exponential state estimation and robust stability for interval neural networks with discrete and distributed time delays |
| url | http://dx.doi.org/10.1155/2012/103542 |
| work_keys_str_mv | AT hongwenxu switchedexponentialstateestimationandrobuststabilityforintervalneuralnetworkswithdiscreteanddistributedtimedelays AT huaiqinwu switchedexponentialstateestimationandrobuststabilityforintervalneuralnetworkswithdiscreteanddistributedtimedelays AT ningli switchedexponentialstateestimationandrobuststabilityforintervalneuralnetworkswithdiscreteanddistributedtimedelays |