Robust stability functionals of state delayed systems with polytopic type uncertainties via parameterdependent Lyapunov functions

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A new delay system approach to network-based control (2008, methodology): “…analysis is carried out in He, Wang, Lin, and Wu (2007), He, Wang, Xie, and Lin (2007b), He, Wu, She, and Liu (2004), Lin, Wang, and Lee (2006), Xia and Jia (2002); stabilizing and H∞ controllers are designed in Hua, Guan, and Shi (2005), and Zhang, Wu, She, and He (2005); robust filtering is…”
Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties (2004, methodology): “However, based on Theorem 1 in this note, the system is robustly stable for . The maximum upper bound on the allowable size of the time delay given by Theorem 1 is more than nine-times larger than the one in [ 7 ], and is better than the one in [8]–[10].”
New Results on Stability of Discrete-Time Systems With Time-Varying State Delay (2007, background): “A great number of research results concerning time-delay systems exist in the literature (see [1], [3]–[6], [8]–[15], [17], and the references therein).”