A refined input delay approach to sampled-data control

By Emilia M. Fridman. at - Automatisierungstechnik, 2010

1,123 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/f99e14e63020c2200d641907cb153c589072b10d

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In Computer Networks and Communications

In Control and Systems Engineering

Citations in the corpus

Wirtinger's inequality and Lyapunov-based sampled-data stabilization (2012, methodology): “The time-dependent term of Fridman (2010) can be modified to the case of η > 0 as follows: VU(t, ẋt) = (tk+1 − t) ∫ t−η tk−η ẋT (s)Uẋ(s)ds, U > 0, t ∈ [tk, tk+1).”
Wirtinger-based integral inequality: Application to time-delay systems (2013, methodology): “Additionally, we will also consider the following example taken from Fridman, Seuret, and Richard (2004) and Naghshtabrizi et al. (2008).”
Robust sampled-data control of a class of semilinear parabolic systems (2012, methodology): “Fridman, A. Blighovsky / Automatica 48 (2012) 826–836 Halanay’s inequality (17) yield V (t) ≤ e−2α(t−t0)V (t0) for α > 0 satisfying (18), which completes the proof.”
A Novel Event-Triggered Transmission Scheme and ${\cal L}_{2}$ Control Co-Design for Sampled-Data Control Systems (2013, background): “Then by Lemma 1 [23], we can conclude that the system (9) is finite-gain stable from to with a gain less than .”
A novel stability analysis of linear systems under asynchronous samplings (2012, methodology): “Recently [2,10,16] refine those approaches and obtain tighter conditions.”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, methodology): “However, a notable advantage of this methodology is the fact that for linear systems the approach can be easily extended to control design [72,248,150] and to the case of systems with parameter uncertainties [67,232,208,88,216], delays [249,164,87,165,231,48] and schedulling protocols [152,153,151].”
Stochastic Synchronization of Markovian Jump Neural Networks With Time-Varying Delay Using Sampled Data (2013, methodology): “Remark 3: Inspired by [4], we introduce V̂1(xt, t, e(t)) and V̂2(xt, t, e(t)) in Lyapunov functional (40) to take the place of V5(xt, t, e(t)) and V6(xt, t, e(t)) of Lyapunov functional (14).”
A new looped-functional for stability analysis of sampled-data systems (2017, methodology): “stability conditions in Fridman (2010), Seuret (2012), and Seuret and Gouaisbaut (2013) ensure that the stability is guaranteed for sampling periods in the intervals (0, 2.”
An Overview and Deep Investigation on Sampled-Data-Based Event-Triggered Control and Filtering for Networked Systems (2017, methodology): “By Lemma 1 in [60] or [61], Vd(t) should not increase along jumping points so that the stability of the closed-loop system can be ensured.”
A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems (2014, neutral): “Lemma 2 (Fridman, 2010).”