Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay
This paper is concerned with robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval, which means that the derivative of the time-varying delay has an upper bound or a restriction. On other occasions, if we do not take...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/938749 |
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| author | Boren Li |
| author_facet | Boren Li |
| author_sort | Boren Li |
| collection | DOAJ |
| description | This paper is concerned with robust stability of uncertain linear systems with interval time-varying delay.
The time-varying delay is assumed to belong to an interval, which means that the derivative of the time-varying delay has an upper bound or a restriction.
On other occasions, if we do not take restriction on the derivative of the time-varying delay into consideration, it allows the delay to be a fast time-varying function. The uncertainty under consideration includes a polytopic-type uncertainty and a linear fractional norm-bounded
uncertainty. In order to obtain much less conservative results, a new Lyapunov-Krasovskii functional, which makes use of the
information of both the lower and upper bounds of the interval time-varying delay, is proposed to derive some new stability
criteria. Numerical examples are given to demonstrate the effectiveness of the proposed stability criteria. |
| format | Article |
| id | doaj-art-75540373ee8f4850b68d0025210e84ff |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-75540373ee8f4850b68d0025210e84ff2025-02-03T05:58:15ZengWileyJournal of Control Science and Engineering1687-52491687-52572011-01-01201110.1155/2011/938749938749Delay-Dependent Stability Criteria for Systems with Interval Time-Varying DelayBoren Li0College of Computer, Dongguan University of Technology, Dongguan, Guangdong 523808, ChinaThis paper is concerned with robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval, which means that the derivative of the time-varying delay has an upper bound or a restriction. On other occasions, if we do not take restriction on the derivative of the time-varying delay into consideration, it allows the delay to be a fast time-varying function. The uncertainty under consideration includes a polytopic-type uncertainty and a linear fractional norm-bounded uncertainty. In order to obtain much less conservative results, a new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to derive some new stability criteria. Numerical examples are given to demonstrate the effectiveness of the proposed stability criteria.http://dx.doi.org/10.1155/2011/938749 |
| spellingShingle | Boren Li Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay Journal of Control Science and Engineering |
| title | Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay |
| title_full | Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay |
| title_fullStr | Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay |
| title_full_unstemmed | Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay |
| title_short | Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay |
| title_sort | delay dependent stability criteria for systems with interval time varying delay |
| url | http://dx.doi.org/10.1155/2011/938749 |
| work_keys_str_mv | AT borenli delaydependentstabilitycriteriaforsystemswithintervaltimevaryingdelay |