Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback Control
The problem of guaranteed cost control for exponential synchronization of cellular neural networks with interval nondifferentiable and distributed time-varying delays via hybrid feedback control is considered. The interval time-varying delay function is not necessary to be differentiable. Based on t...
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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/10.1155/2013/175796 |
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| author | T. Botmart W. Weera |
| author_facet | T. Botmart W. Weera |
| author_sort | T. Botmart |
| collection | DOAJ |
| description | The problem of guaranteed cost control for exponential synchronization of cellular neural networks with interval nondifferentiable and distributed time-varying delays via hybrid feedback control is considered. The interval time-varying delay function is not necessary to be differentiable. Based on the construction of improved Lyapunov-Krasovskii functionals is combined with Leibniz-Newton's formula and the technique of dealing with some integral terms. New delay-dependent sufficient conditions for the exponential synchronization of the error systems with memoryless hybrid feedback control are first established in terms of LMIs without introducing any free-weighting matrices. The optimal guaranteed cost control with linear error hybrid feedback is turned into the solvable problem of a set of LMIs. A numerical example is also given to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-b89726f8b3dc4909991d6919e8387903 |
| 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-b89726f8b3dc4909991d6919e83879032025-02-03T05:45:59ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/175796175796Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback ControlT. Botmart0W. Weera1Department of Mathematics, Srinakharinwirot University, Bangkok 10110, ThailandDepartment of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandThe problem of guaranteed cost control for exponential synchronization of cellular neural networks with interval nondifferentiable and distributed time-varying delays via hybrid feedback control is considered. The interval time-varying delay function is not necessary to be differentiable. Based on the construction of improved Lyapunov-Krasovskii functionals is combined with Leibniz-Newton's formula and the technique of dealing with some integral terms. New delay-dependent sufficient conditions for the exponential synchronization of the error systems with memoryless hybrid feedback control are first established in terms of LMIs without introducing any free-weighting matrices. The optimal guaranteed cost control with linear error hybrid feedback is turned into the solvable problem of a set of LMIs. A numerical example is also given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2013/175796 |
| spellingShingle | T. Botmart W. Weera Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback Control Abstract and Applied Analysis |
| title | Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback Control |
| title_full | Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback Control |
| title_fullStr | Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback Control |
| title_full_unstemmed | Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback Control |
| title_short | Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback Control |
| title_sort | guaranteed cost control for exponential synchronization of cellular neural networks with mixed time varying delays via hybrid feedback control |
| url | http://dx.doi.org/10.1155/2013/175796 |
| work_keys_str_mv | AT tbotmart guaranteedcostcontrolforexponentialsynchronizationofcellularneuralnetworkswithmixedtimevaryingdelaysviahybridfeedbackcontrol AT wweera guaranteedcostcontrolforexponentialsynchronizationofcellularneuralnetworkswithmixedtimevaryingdelaysviahybridfeedbackcontrol |