Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay
This paper studies the problem of guaranteed cost control for a class of uncertain delayed neural networks. The time delay is a continuous function belonging to a given interval but not necessary to be differentiable. A cost function is considered as a nonlinear performance measure for the closed-lo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/587426 |
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| author | M. Rajchakit P. Niamsup T. Rojsiraphisal G. Rajchakit |
| author_facet | M. Rajchakit P. Niamsup T. Rojsiraphisal G. Rajchakit |
| author_sort | M. Rajchakit |
| collection | DOAJ |
| description | This paper studies the problem of guaranteed cost control for a class of uncertain
delayed neural networks. The time delay is a continuous function belonging to a given
interval but not necessary to be differentiable. A cost function is considered as a
nonlinear performance measure for the closed-loop system. The stabilizing controllers
to be designed must satisfy some exponential stability constraints on the closed-loop
poles. By constructing a set of augmented Lyapunov-Krasovskii functionals combined
with Newton-Leibniz formula, a guaranteed cost controller is designed via memoryless
state feedback control, and new sufficient conditions for the existence of the guaranteed
cost state feedback for the system are given in terms of linear matrix inequalities
(LMIs). Numerical examples are given to illustrate the effectiveness of the obtained
result. |
| format | Article |
| id | doaj-art-c6be0863e3a14e03a19b33a423fd8022 |
| 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-c6be0863e3a14e03a19b33a423fd80222025-02-03T01:24:31ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/587426587426Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying DelayM. Rajchakit0P. Niamsup1T. Rojsiraphisal2G. Rajchakit3Major of Mathematics and Statistics, Faculty of Science, Maejo University, Chiang Mai 50290, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50000, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50000, ThailandMajor of Mathematics and Statistics, Faculty of Science, Maejo University, Chiang Mai 50290, ThailandThis paper studies the problem of guaranteed cost control for a class of uncertain delayed neural networks. The time delay is a continuous function belonging to a given interval but not necessary to be differentiable. A cost function is considered as a nonlinear performance measure for the closed-loop system. The stabilizing controllers to be designed must satisfy some exponential stability constraints on the closed-loop poles. By constructing a set of augmented Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a guaranteed cost controller is designed via memoryless state feedback control, and new sufficient conditions for the existence of the guaranteed cost state feedback for the system are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the obtained result.http://dx.doi.org/10.1155/2012/587426 |
| spellingShingle | M. Rajchakit P. Niamsup T. Rojsiraphisal G. Rajchakit Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay Abstract and Applied Analysis |
| title | Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay |
| title_full | Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay |
| title_fullStr | Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay |
| title_full_unstemmed | Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay |
| title_short | Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay |
| title_sort | delay dependent guaranteed cost controller design for uncertain neural networks with interval time varying delay |
| url | http://dx.doi.org/10.1155/2012/587426 |
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