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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1687-5249 1687-5257 |