Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay
A nonlinear stochastic differential-difference control system with delay of neutral type is considered. Sufficient conditions for the exponential stability are derived by using Lyapunov-Krasovskii functionals of quadratic form with exponential factors. Upper bound estimates for the exponential rate...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/920412 |
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| author | Irada A. Dzhalladova Jaromír Baštinec Josef Diblík Denys Y. Khusainov |
| author_facet | Irada A. Dzhalladova Jaromír Baštinec Josef Diblík Denys Y. Khusainov |
| author_sort | Irada A. Dzhalladova |
| collection | DOAJ |
| description | A nonlinear stochastic differential-difference control system with delay of neutral type is considered. Sufficient conditions for the exponential stability are derived by using Lyapunov-Krasovskii functionals of quadratic form with exponential factors. Upper bound estimates for the exponential rate of decay are derived. |
| format | Article |
| id | doaj-art-cecf4a12177f44a68593586a82ddd017 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cecf4a12177f44a68593586a82ddd0172025-02-03T01:27:12ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/920412920412Estimates of Exponential Stability for Solutions of Stochastic Control Systems with DelayIrada A. Dzhalladova0Jaromír Baštinec1Josef Diblík2Denys Y. Khusainov3Department of Mathematics, Kyiv National Economic University, Peremogy Avenue, Kyiv 03038, UkraineDepartment of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, 616 00 Brno, Czech RepublicDepartment of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, 616 00 Brno, Czech RepublicFaculty of Cybernetics, Taras Shevchenko National University of Kyiv, Vladimirskaya Street, Kyiv 01601, UkraineA nonlinear stochastic differential-difference control system with delay of neutral type is considered. Sufficient conditions for the exponential stability are derived by using Lyapunov-Krasovskii functionals of quadratic form with exponential factors. Upper bound estimates for the exponential rate of decay are derived.http://dx.doi.org/10.1155/2011/920412 |
| spellingShingle | Irada A. Dzhalladova Jaromír Baštinec Josef Diblík Denys Y. Khusainov Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay Abstract and Applied Analysis |
| title | Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay |
| title_full | Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay |
| title_fullStr | Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay |
| title_full_unstemmed | Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay |
| title_short | Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay |
| title_sort | estimates of exponential stability for solutions of stochastic control systems with delay |
| url | http://dx.doi.org/10.1155/2011/920412 |
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