Discrete-Delay-Independent and Discrete-Delay-Dependent Criteria for a Class of Neutral Systems

By Chang-Hua Lien, Jenq-Der Chen. 2003

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Further results on delay‐dependent robust stability conditions of uncertain neutral systems (2005, background): “Example 4 Consider a nominal neutral system in (5) with A ¼ 1:7073 0:6856 0:2279 0:6368 2 4 3 5; A1 ¼ 2:5026 1:0540 0:1856 1:5715 2 4 3 5 C ¼ 0:0558 0:0360 0:2747 0:1084 2 4 3 5 By the methods in References [16] and [5], the maximum allowed %h can be calculated as 0.4856 and 0.5171, respectively, wh”
A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, methodology): “These techniques were also used to derive delay-dependent results for various types of time-delay systems (see, e.g. Chen, Lien, Fan, and Cheng 2000; Lien, Yu, and Hsieh 2000; Lien 2001; Niculescu 2001b; Lien and Chen 2003; Chen and Liu 2005; Chen, Lam, and Xu 2006, and the references therein).”
Delay-dependent and delay-independent guaranteed cost control for uncertain neutral systems with time-varying delays via LMI approach (2007, methodology): “Hence, the stability analysis and robust control problems for time-delay systems have received considerable attention and have been one of the most interesting topics in the control theory [1,4–6,8,9,12–19].”