A delay‐dependent bounded real lemma for singular LPV systems with time‐variant delay |
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Authors: | Fanbiao Li Xian Zhang |
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Affiliation: | School of Mathematical Science, Heilongjiang University, Harbin 150080, People's Republic of China |
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Abstract: | This paper is concerned with establishing a delay‐dependent bounded real lemma (BRL) for singular linear parameter‐varying (LPV) systems with time‐variant delay. In terms of linear matrix inequality, a delay‐dependent BRL is presented to ensure singular time‐delay LPV systems to be admissible and satisfy a prescribed H∞ performance level. The BRL is obtained based on the construction of a parameter‐dependent Lyapunov–Krasovskii functional. The effectiveness of the proposed approach is shown by several numerical examples. Copyright © 2011 John Wiley & Sons, Ltd. |
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Keywords: | singular LPV systems time‐variant delay bounded real lemma stability |
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