Please use this identifier to cite or link to this item: https://doi.org/10.1109/TAC.2006.887907
Title: Further improvement of free-weighting matrices technique for systems with time-varying delay
Authors: He, Y. 
Wang, Q.-G. 
Xie, L.
Lin, C. 
Keywords: Augmented Lyapunov functional
Delay-dependent
Linear matrix inequality (LMI)
Stability
Time-varying delay
Issue Date: Feb-2007
Source: He, Y., Wang, Q.-G., Xie, L., Lin, C. (2007-02). Further improvement of free-weighting matrices technique for systems with time-varying delay. IEEE Transactions on Automatic Control 52 (2) : 293-299. ScholarBank@NUS Repository. https://doi.org/10.1109/TAC.2006.887907
Abstract: A novel method is proposed in this note for stability analysis of systems with a time-varying delay. Appropriate Lyapunov functional and augmented Lyapunov functional are introduced to establish some improved delay-dependent stability criteria. Less conservative results are obtained by considering the additional useful terms (which are ignored in previous methods) when estimating the upper bound of the derivative of Lyapunov functionals and introducing the new free-weighting matrices. The resulting criteria are extended to the stability analysis for uncertain systems with time-varying structured uncertainties and polytopic-type uncertainties. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method. © 2007 IEEE.
Source Title: IEEE Transactions on Automatic Control
URI: http://scholarbank.nus.edu.sg/handle/10635/56103
ISSN: 00189286
DOI: 10.1109/TAC.2006.887907
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