Criteria for asymptotic stability of a class of neutral systems via a LMI approach

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Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters (2011, methodology): “Among the past results on neutral delay systems, the LMI approach is an efficient method to solve many control problems such as stability analysis and stabilization [29]–[31] and control problems [32]–[35].”
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”
Stability analysis for neutral systems with mixed delays (2007, methodology): “The upper bounds on delays under which it is possible to guarantee the stability of this system using the methods in [13,1,2,9] are 1 = 2 = 0.”