Technical communique: Improved delay-range-dependent stability criteria for linear systems with time-varying delays
By Guoping Liu, Jie Chen, David Rees. 2010
576 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/dce0332fd83e21ebb18fff8b73a29a8d4bbff7ab
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In Computational Theory and Mathematics
In Control and Systems Engineering
Citations in the corpus
- Further improvement of Jensen inequality and application to stability of time-delayed systems (2016, unknown): “Table 1 Maximal allowable delay h for various µ in Example 1. µ 0 0.1 0.5 0.8 1 He et al. (2007) 4.472 3.605 2.043 1.492 1.345 Sun et al. (2010) 4.472 3.611 2.072 1.590 1.529 Kim (2011) 4.97 3.86 2.33 1.93 1.86 Kwon (2014) 6.059 4.704 2.420 2.113 2.113 Theorem 1 6.168 4.753 2.429 2.183 2.182 Also,…”
- Two general integral inequalities and their applications to stability analysis for systems with time‐varying delay (2016, background): “In the stability analysis for systems with time-varying delay, the commonly encountered problem is to derive bounds of the single/multiple integral terms with the state being in the derivative [6, 9, 14, 15, 18, 23].”
- Optimal partitioning method for stability analysis of continuous/discrete delay systems (2015, methodology): “In order to further reduce the conservatism, a new Lyapunov functional that involves some triple integral terms is constructed is given in [4].”