State Estimation for Neural Networks with Leakage Delay and Time-Varying Delays
The state estimation problem is investigated for neural networks with leakage delay and time-varying delay as well as for general activation functions. By constructing appropriate Lyapunov-Krasovskii functionals and employing matrix inequality techniques, a delay-dependent linear matrix inequalities...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/289526 |
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| _version_ | 1832568288244137984 |
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| author | Jing Liang Zengshun Chen Qiankun Song |
| author_facet | Jing Liang Zengshun Chen Qiankun Song |
| author_sort | Jing Liang |
| collection | DOAJ |
| description | The state estimation problem is investigated for neural networks with leakage delay and time-varying
delay as well as for general activation functions. By constructing appropriate Lyapunov-Krasovskii functionals and
employing matrix inequality techniques, a delay-dependent linear matrix inequalities (LMIs) condition is developed
to estimate the neuron state with some observed output measurements such that the error-state system is globally
asymptotically stable. An example is given to show the effectiveness of the proposed criterion. |
| format | Article |
| id | doaj-art-5ae856533c2a44d1a7c11d02766489a8 |
| 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-5ae856533c2a44d1a7c11d02766489a82025-02-03T00:59:21ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/289526289526State Estimation for Neural Networks with Leakage Delay and Time-Varying DelaysJing Liang0Zengshun Chen1Qiankun Song2Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaSchool of Civil Engineering & Architecture, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaThe state estimation problem is investigated for neural networks with leakage delay and time-varying delay as well as for general activation functions. By constructing appropriate Lyapunov-Krasovskii functionals and employing matrix inequality techniques, a delay-dependent linear matrix inequalities (LMIs) condition is developed to estimate the neuron state with some observed output measurements such that the error-state system is globally asymptotically stable. An example is given to show the effectiveness of the proposed criterion.http://dx.doi.org/10.1155/2013/289526 |
| spellingShingle | Jing Liang Zengshun Chen Qiankun Song State Estimation for Neural Networks with Leakage Delay and Time-Varying Delays Abstract and Applied Analysis |
| title | State Estimation for Neural Networks with Leakage Delay and Time-Varying Delays |
| title_full | State Estimation for Neural Networks with Leakage Delay and Time-Varying Delays |
| title_fullStr | State Estimation for Neural Networks with Leakage Delay and Time-Varying Delays |
| title_full_unstemmed | State Estimation for Neural Networks with Leakage Delay and Time-Varying Delays |
| title_short | State Estimation for Neural Networks with Leakage Delay and Time-Varying Delays |
| title_sort | state estimation for neural networks with leakage delay and time varying delays |
| url | http://dx.doi.org/10.1155/2013/289526 |
| work_keys_str_mv | AT jingliang stateestimationforneuralnetworkswithleakagedelayandtimevaryingdelays AT zengshunchen stateestimationforneuralnetworkswithleakagedelayandtimevaryingdelays AT qiankunsong stateestimationforneuralnetworkswithleakagedelayandtimevaryingdelays |