Global Robust Exponential Dissipativity for Interval Recurrent Neural Networks with Infinity Distributed Delays
This paper is concerned with the robust dissipativity problem for interval recurrent neural networks (IRNNs) with general activation functions, and continuous time-varying delay, and infinity distributed time delay. By employing a new differential inequality, constructing two different kinds of Lyap...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/585709 |
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| author | Xiaohong Wang Huan Qi |
| author_facet | Xiaohong Wang Huan Qi |
| author_sort | Xiaohong Wang |
| collection | DOAJ |
| description | This paper is concerned with the robust dissipativity problem for interval recurrent neural networks (IRNNs) with general activation functions, and continuous time-varying delay, and infinity distributed time delay. By employing a new differential inequality, constructing two different kinds of Lyapunov functions, and abandoning the limitation on activation functions being bounded, monotonous and differentiable, several sufficient conditions are established to guarantee the global robust exponential dissipativity for the addressed IRNNs in terms of linear matrix inequalities (LMIs) which can be easily checked by LMI Control Toolbox in MATLAB. Furthermore, the specific estimation of positive invariant and global exponential attractive sets of the addressed system is also derived. Compared with the previous literatures, the results obtained in this paper are shown to improve and extend the earlier global dissipativity conclusions. Finally, two numerical examples are provided to demonstrate the potential effectiveness of the proposed results. |
| format | Article |
| id | doaj-art-c51818383feb42fd838c2495498a5202 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c51818383feb42fd838c2495498a52022025-02-03T01:07:00ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/585709585709Global Robust Exponential Dissipativity for Interval Recurrent Neural Networks with Infinity Distributed DelaysXiaohong Wang0Huan Qi1Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaDepartment of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaThis paper is concerned with the robust dissipativity problem for interval recurrent neural networks (IRNNs) with general activation functions, and continuous time-varying delay, and infinity distributed time delay. By employing a new differential inequality, constructing two different kinds of Lyapunov functions, and abandoning the limitation on activation functions being bounded, monotonous and differentiable, several sufficient conditions are established to guarantee the global robust exponential dissipativity for the addressed IRNNs in terms of linear matrix inequalities (LMIs) which can be easily checked by LMI Control Toolbox in MATLAB. Furthermore, the specific estimation of positive invariant and global exponential attractive sets of the addressed system is also derived. Compared with the previous literatures, the results obtained in this paper are shown to improve and extend the earlier global dissipativity conclusions. Finally, two numerical examples are provided to demonstrate the potential effectiveness of the proposed results.http://dx.doi.org/10.1155/2013/585709 |
| spellingShingle | Xiaohong Wang Huan Qi Global Robust Exponential Dissipativity for Interval Recurrent Neural Networks with Infinity Distributed Delays Abstract and Applied Analysis |
| title | Global Robust Exponential Dissipativity for Interval Recurrent Neural Networks with Infinity Distributed Delays |
| title_full | Global Robust Exponential Dissipativity for Interval Recurrent Neural Networks with Infinity Distributed Delays |
| title_fullStr | Global Robust Exponential Dissipativity for Interval Recurrent Neural Networks with Infinity Distributed Delays |
| title_full_unstemmed | Global Robust Exponential Dissipativity for Interval Recurrent Neural Networks with Infinity Distributed Delays |
| title_short | Global Robust Exponential Dissipativity for Interval Recurrent Neural Networks with Infinity Distributed Delays |
| title_sort | global robust exponential dissipativity for interval recurrent neural networks with infinity distributed delays |
| url | http://dx.doi.org/10.1155/2013/585709 |
| work_keys_str_mv | AT xiaohongwang globalrobustexponentialdissipativityforintervalrecurrentneuralnetworkswithinfinitydistributeddelays AT huanqi globalrobustexponentialdissipativityforintervalrecurrentneuralnetworkswithinfinitydistributeddelays |