Technical communique: Delay-range-dependent stability for systems with time-varying delay

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Output Feedback Stabilization for a Discrete-Time System With a Time-Varying Delay (2008, methodology): “[ 8 ] A. Bateman and Z. Lin, “An analysis and design method for linear”
New stability criteria for linear systems with interval time-varying delay (2013, background): “Much research interest have been attracted in obtaining delay dependent stability criteria of time-delay systems in the last two decades, see, for example [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12].”
Robust nonfragile H∞ optimum control for active suspension systems with time-varying actuator delay (2019, methodology): “Choosing a Lyapunov functional VðxðtÞÞ as follows (He et al., 2007) VðxðtÞÞ ¼ xTðtÞPxðtÞ þ X2 i¼1 Z t t i xTðsÞQixðsÞds þ Z t t d ðtÞ xTðsÞQ3xðsÞds þ Z 0 2 Z t tþ _xTðsÞZ1 _xðsÞds d þ Z 1 2 Z t tþ _xTðsÞZ2 _xðsÞds d ð9Þ where P ¼ PT 4 0, Qi ¼ QTi 4 0, i ¼ 1, 2, 3 and Zj ¼ ZTj 4 0 j ¼ 1, 2 are…”
Optimal partitioning method for stability analysis of continuous/discrete delay systems (2015, methodology): “For continuous-time systems, the free weighting matrices method is introduced in [1] to investigate the system with time-varying delay in an interval.”