A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models

By Dragan Nesic, Andrew R. Teel. IEEE Transactions on Automatic Control, 2004

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Input-output stability properties of networked control systems (2004, methodology): “Tools for analysis of the exact discrete-time model (53), (54) via its approximate models are developed in [16]–[ 19 ] and can be used in this context.”
Global stability results for systems under sampled-data control (2006, result): “2) then they would lead to local stability properties, iv) if the results contained in [24,34,35,36] were applied to system (4.”
Event‐triggered adaptive backstepping control for parametric strict‐feedback nonlinear systems (2018, background): “(15) Then, it is held at the controller until the next update as x̂i(t) = xi(tk), tk ≤ t < tk+1,∀k ∈ Z+, i = 1, .”
Cooperative Constrained Control of Distributed Agents With Nonlinear Dynamics and Delayed Information Exchange: A Stabilizing Receding-Horizon Approach (2008, unknown): “However, as shown in [38], in some cases the control law that stabilizes the approximated discrete-time model may perform quite poorly when applied to the exact model.”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, methodology): “We present as follows an adaptation of the result from [258] which extends earlier stability criteria from [191,196,190].”