I have worked with various researchers (including Costas Kravaris, Miroslav Krstic, Zhong-Ping Jiang, Mamadou Diagne, Nicolas Espitia and others) on sampled-data control and event-triggered control.
Stability results on sampled-data systems with uncertain sampling schedule are contained in the book
I. Karafyllis and Z.-P. Jiang, Stability and Stabilization of Nonlinear Systems, Springer-Verlag, London (Series: Communications and Control Engineering), 2011.
Results on sampled-data control for systems with input delays are contained in the book
I. Karafyllis and M. Krstic, Predictor Feedback for Delay Systems: Implementations and Approximations, Birkhäuser, Boston (Series: Mathematics, Systems & Control: Foundations & Applications), 2017.
Below is a list of papers with results on sampled-data control and event-triggered control. I do not give here publications with sampled-data observers (this topic is analyzed separately).
I. Karafyllis and M. Krstic, “Sampled-Data Stabilization of Nonlinear Delay Systems with a Compact Absorbing Set and State Measurement”, Time Delay Systems, Theory, Numerics, Applications, and Experiments, T. Insperger, T. Ersal and G. Orosz (Eds.), Advances in Delays and Dynamics, Vol. 7, Springer, 2017.
I. Karafyllis and Z.-P. Jiang, “A Small-Gain Theorem for a Wide Class of Feedback Systems with Control Applications”, SIAM Journal Control and Optimization, 46(4), 2007, pp. 1483-1517.
I. Karafyllis and C. Kravaris, “Robust Global Stabilizability by Means of Sampled-Data Control with Positive Sampling Rate”, International Journal of Control, 82(4), 2009, pp. 755-772.
I. Karafyllis and C. Kravaris, “Global Stability Results for Systems under Sampled-Data Control”, International Journal of Robust and Nonlinear Control, 19(10), 2009, pp. 1105-1128.
I. Karafyllis and M. Krstic, “Nonlinear Stabilization under Sampled and Delayed Measurements, and with Inputs Subject to Delay and Zero-Order Hold”, IEEE Transactions on Automatic Control, 57(5), 2012, pp. 1141-1154.
I. Karafyllis and M. Krstic, “Global Stabilization of Feedforward Systems Under Perturbations in Sampling Schedule”, SIAM Journal on Control and Optimization, 50(3), 2012, pp. 1389–1412.
I. Karafyllis and M. Krstic, “Sampled-Data Stabilization of Nonlinear Delay Systems with a Compact Absorbing Set”, SIAM Journal on Control and Optimization, 54(2), 2016, pp. 790–818.
T. Ahmed-Ali, I. Karafyllis, F. Giri, M. Krstic, F. Lamnabhi-Lagarrigue, “Exponential Stability Analysis of Sampled-Data ODE-PDE Systems and Application to Observer Design”, IEEE Transactions on Automatic Control, 62(6), 2017, pp. 3091-3098.
I. Karafyllis and M. Krstic, “Sampled-Data Boundary Feedback Control of 1-D Linear Transport PDEs with Non-Local Terms”, Systems & Control Letters, 107, 2017, pp. 68-75.
I. Karafyllis and M. Krstic, “Sampled-Data Boundary Feedback Control of 1-D Parabolic PDEs”, Automatica, 87, 2018, pp. 226-237.
I. Karafyllis and M. Krstic, “Adaptive Certainty-Equivalence Control With Regulation-Triggered Finite-Time Least-Squares Identification”, IEEE Transactions on Automatic Control, 63(10), 2018, pp. 3261-3275.
I. Karafyllis, M. Kontorinaki and M. Krstic, “Adaptive Control By Regulation-Triggered Batch Least-Squares”, IEEE Transactions on Automatic Control, 65(7), 2020, pp. 2842-2855.
S. Koga, I. Karafyllis and M. Krstic, “Towards Implementation of PDE Control for Stefan System: Input-to-State Stability and Sampled-Data Design”, Automatica, 127, 2021, 109538.
N. Espitia, I. Karafyllis and M. Krstic, “Event-Triggered Boundary Control of Constant-Parameter Reaction-Diffusion PDEs: A Small-Gain Approach”, Automatica, 128, 2021, 109562.
I. Karafyllis, N. Espitia and M. Krstic, “Event-Triggered Gain Scheduling of Reaction-Diffusion PDEs”, SIAM Journal on Control and Optimization, 59(3), 2021, pp. 2047-2067.
M. Diagne and I. Karafyllis, “Event-Triggered Control of a Continuum Model of Highly Re-Entrant Manufacturing System”, Automatica, 134, 2021, 109902.
M. Bagheri, I. Karafyllis, P. Naseradinmousavi and M. Krstic, “Adaptive Control of a Two-Link Robot Using Batch Least-Squares Identifier”, IEEE/CCA Journal of Automatica Sinica, 8(1), 2021, pp. 86-93.
B. Rathnayake, M. Diagne and I. Karafyllis, “Sampled-Data and Event-Triggered Boundary Control of a Class of Reaction-Diffusion PDEs with Collocated Sensing and Actuation”, Automatica, 137, 2022, 110026.
B. Rathnayake, M. Diagne, N. Espitia and I. Karafyllis, “Observer-Based Event-Triggered Boundary Control of a Class of Reaction-Diffusion PDEs”, IEEE Transactions on Automatic Control, 67(6), 2022, pp. 2905 - 2917.