My research area including.
Controllability and stabilization of PDEs.
Stabilization of delayed and saturated systems.
Control and stabilization of fractional PDEs.
Publications
Preprint:
2024 E. Cerpa, K. Morris, H. Parada, Feedback control of an unstable parabolic-elliptic system with input delay. Submitted.
2024 H. Parada, Observer-based exponential stabilization of fractional heat equation. Submitted. Preprint version.
2024 S. Majumdar, H. Parada, Stabilization of Kawahara equation with input saturation and saturated boundary feedback. Submitted. Preprint version.
2024 E. Crépeau, H. Parada, C. Prieur, Stability of KdV equation in a star shaped network with bounded and unbounded lengths. Submitted. Preprint version.
2024 G.Arias, H. Parada, Boundary stabilization of a class of coupled reaction-diffusion system with one control. Submitted. Preprint version.
Journal articles:
2022 E. Crépeau, H. Parada, C. Prieur, Delayed stabilization of KdV equation on a star shaped network. Mathematics of Control, Signals, and Systems, vol. 34, pp. 559–605. Preprint version.
2022 E. Crépeau, H. Parada, C. Prieur, Global well-posedness of the KdV equation on a star shaped network and stabilization with saturated controllers. SIAM, Journal of Control and Optimization, vol. 60 (4), pp 2268-2296. Preprint version.
2023 H. Parada, C. Timmimoun, J. Valein, Stability results for the KdV equation with time-varying delay. Systems & Control Letters, vol. 177, pp105547. Preprint version.
2024 H. Parada, Null controllability of KdV equation in a star-shaped network. Evolution Equations and Control Theory, vol. 13 (3), pp 719-750. Preprint version.
Conferences papers:
2023 E. Crépeau, H. Parada, C. Prieur, Stability of linear KdV equation in a star shaped network with bounded and unbounded lengths. 62nd IEEE Conference on Decision and Control, Singapore. Preprint version
2022 H. Parada, Stability analysis of a Korteweg-de Vries equation with saturated boundary feedback. IFAC CPDE 2022 Workshop on Control of Systems Governed by Partial Differential Equations, Kiel, Germany. Full version.
PhD Thesis
Control and Stabilization of PDE on networks. I defended my PhD thesis the 5th of July 2023.
PhD Commite:
Emmanuelle Crépeau (Advisor),
Christophe Prieur (Co-advisor),
Franck Boyer: Reviewer, report here.
Bing-Yu Zhang: Reviewer, report here.
Eduardo Cerpa,
Julie Valein,
Hoai-Minh Nguyen,
Emmanuel Witrant.
Report of the PhD commitee here.
Master Thesis
Other
Internship Report, Lur'e systems stability properties and numerical simulations.