Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays
This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a suitable augmented Lyapunov-Krasovskii fu...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/623014 |
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| author | Manlika Rajchakit Grienggrai Rajchakit |
| author_facet | Manlika Rajchakit Grienggrai Rajchakit |
| author_sort | Manlika Rajchakit |
| collection | DOAJ |
| description | This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, a switching rule for the mean square exponential stability of switched stochastic system with interval time-varying delays and new delay-dependent sufficient conditions for the mean square exponential stability of the switched stochastic system are first established in terms of LMIs. Numerical example is given to show the effectiveness of the obtained result. |
| format | Article |
| id | doaj-art-2f148a7b20c946899138dfd9990fd061 |
| 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-2f148a7b20c946899138dfd9990fd0612025-02-03T06:14:13ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/623014623014Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying DelaysManlika Rajchakit0Grienggrai Rajchakit1Faculty of Science, Maejo University, Chiangmai 50290, ThailandFaculty of Science, Maejo University, Chiangmai 50290, ThailandThis paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, a switching rule for the mean square exponential stability of switched stochastic system with interval time-varying delays and new delay-dependent sufficient conditions for the mean square exponential stability of the switched stochastic system are first established in terms of LMIs. Numerical example is given to show the effectiveness of the obtained result.http://dx.doi.org/10.1155/2012/623014 |
| spellingShingle | Manlika Rajchakit Grienggrai Rajchakit Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays Abstract and Applied Analysis |
| title | Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays |
| title_full | Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays |
| title_fullStr | Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays |
| title_full_unstemmed | Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays |
| title_short | Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays |
| title_sort | mean square exponential stability of stochastic switched system with interval time varying delays |
| url | http://dx.doi.org/10.1155/2012/623014 |
| work_keys_str_mv | AT manlikarajchakit meansquareexponentialstabilityofstochasticswitchedsystemwithintervaltimevaryingdelays AT grienggrairajchakit meansquareexponentialstabilityofstochasticswitchedsystemwithintervaltimevaryingdelays |