Explicit Computation of the Sampling Period in Emulation of Controllers for Nonlinear Sampled-Data Systems

By Dragan Nesic, Andrew R. Teel, Daniele Carnevale. IEEE Transactions on Automatic Control, 2009

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A tutorial review of economic model predictive control methods (2014, unknown): “, k(x) is applied as an emulation controller); see, for instance, [128,65,118,85,129] and the references therein for results and analysis of sampled-data systems.”
A Framework for the Event-Triggered Stabilization of Nonlinear Systems (2015, methodology): “This constant T corresponds to the time it takes for the solution of the ordinary differential equation ζ̇ = −2Lζ − γ(ζ(2) + 1) to decrease from ρ−1 to ρ, where L and γ are some constants (see (5) in [19]) and ρ ∈ (0, 1) is arbitrarily small.”
Global stability results for systems under sampled-data control (2006, result): “We have just become aware of related results in [ 27 ], where the approach and methodology is very different from the approach adopted in the present work.”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, methodology): “Using such particular forms of Lyapunov functions, LMI stability conditions have been derived in the literature (Forni, Galeani, Nešić, & Zaccarian, 2014; Goebel et al., 2012; Hu et al., 2003; Naghshtabrizi et al., 2008; Nešić et al., 2009; Omran,Hetel, Richard, & Lamnabhi-Lagarrigue, 2012).”
Global stabilization of a class of uncertain upper‐triangular systems under sampled‐data control (2013, methodology): “At this stage, it might be possible to employ the approach proposed in [14] to compute T2 for local stability.”