Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
By Yong He, Qing‐Guo Wang, Lihua Xie, Chong Lin. IEEE Transactions on Automatic Control, 2007
771 citations recorded by the source corpus.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/8988a403d5555d8a9f33e82b50d17707715dc8b3
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In Control and Systems Engineering
- Qing-Long Han
- James Lam
- Yong He
- Shengyuan Xu
- Xianming Zhang
- Min Wu
- Hongbing Zeng
- Frédéric Gouaisbaut
Citations in the corpus
- Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality (2015, methodology): “Once the increment of the Lyapunov functional calculated, the second step comes from the inequalities to be used to derive a tractable numerical optimization problem (see [6], [17], [24], [26]).”
- Less conservative results on stability for linear systems with a time‐varying delay (2013, background): “This example has been discussed in [5, 13, 14, 21], and the MAUBs calculated for various are listed in Table III.”
- Stability analysis of systems with time-varying delay via relaxed integral inequalities (2016, methodology): “, 4, many other state-based vectors, such as x(t − d(t)), x(t − h/2), x(t − h), and ẋ(t), were used to construct more general form of augmented LKFs in literature [17,18,26,31].”
- Delay-Dependent Stability for Load Frequency Control With Constant and Time-Varying Delays (2012, neutral): “The other is an indirect method based on Lyapunov stability theory and linear matrix inequalities (LMIs) techniques [18]–[20] and has”
- Results on stability of linear systems with time varying delay (2017, methodology): “There are two main techniques to deal with such integral terms, free-weighting matrix approach [9] and integral inequality method [11].”
- Robust Stability for Uncertain Delayed Fuzzy Hopfield Neural Networks With Markovian Jumping Parameters (2009, methodology): “A feature of the reported results is that delay-range-dependent robust stability problem is investigated by constructing a Lyapunov functional including both lower and upper bounds of delay and utilizing the free-weighting matrix method [9], [ 10 ].”
- Delay‐distribution‐dependent robust stability of uncertain systems with time‐varying delay (2009, methodology): “the probability of the time delay taking values is known a priori, the upper bounds of the delay are larger than those given in [4, 10, 28].”