Simple stability criteria for systems with time-varying delays

By Chung-Yao Kao, Bo Lincoln. at - Automatisierungstechnik, 2004

350 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/028ac0f75ae309b0480f60e251328ad53189e84e

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In Control and Systems Engineering

Citations in the corpus

On complete Lyapunov–Krasovskii functional techniques for uncertain systems with fast‐varying delays (2008, background): “Robust stability of uncertain systems with ‘non-small’ delay has been analysed also via input–output approach to stability [7, 13].”
Controller synthesis for networked control systems (2010, neutral): “Secondly, in e.g. (Hespanha, Naghshtabrizi, & Xu, 2007; Montestruque & Antsaklis, 2004; Seiler & Sengupta, 2005; Sinopoli, Schenato, Franceschetti, Poolla, Jordan, & Sastry, 2004), a stochastic modeling approach is adopted.”
Networked Control Systems With Communication Constraints: Tradeoffs Between Transmission Intervals, Delays and Performance (2010, background): “…the effects of quantization are studied in [3], [12], [20], [22], [28], [36], [45], of packet dropouts in [41], [42], of time-varying transmission intervals and delays in [14], [32], and [10], [16], [24], [27], [35], [55], respectively , and of communication constraints in [2], [11], [26], [40].”
Brief paper New stability criteria for continuous-time systems with interval time-varying delay (2010, methodology): “So, many methods have been reported in the literature; see, for example, [1–14] among which the free-weighting matrix method and Jensen’s integral inequality method are widely used.”
Stability of Networked Control Systems With Uncertain Time-Varying Delays (2009, methodology): “A stability approach based on the small gain theorem is proposed in [17].”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, methodology): “Lemma 24 [130] The L2-induced norm of the operator ∆d in (106) is bounded by h.”
Small gain problem in coupled differential‐difference equations, time‐varying delays, and direct Lyapunov method (2011, methodology): “The case of ′ =∞ using a frequency domain approach was discussed in [29].”
Analysis of event-driven controllers for linear systems (2008, background): “This is in contrast with the approaches in Zhang et al. (2001), Lincoln (2002), Schinkel et al. (2002, 2003), Kao and Lincoln (2004), Balluchi et al. (2005) and Cloosterman et al. (2006), where the variations in the sample times are considered as externally imposed disturbances.”
Tutorial on Lyapunov-based methods for time-delay systems (2014, methodology): “The following lemma provides upper bounds on the gains of the feedback systems (68) and (70): Lemma 3 (Lemma 3 [28,35]).”