Patricio Guzmán
I am an Assistant Professor at the Departamento de Matemática of the Universidad Técnica Federico Santa María, which is where I got the professional title of Mathematical Engineer and later the academic degrees of M.Sci and Ph.D. in Mathematics. During my formal education I had the privilege to be directed by Eduardo Cerpa, Lionel Rosier and Alberto Mercado. My work as postdoctoral researcher at the Centro de Modelamiento Matemático of the Universidad de Chile was supervised by Axel Osses.
Research
I am interested in control theory. I am currently studying the controllability and stabilization of partial differential equations, with special interest to those coming from applied models. I participate in the following research projects.
- MATH-AMSUD AMSUD220023 (National Coordinator). Stabilization, Control and Inverse Problems in PDEs.
- FONDECYT 11240290 (Responsible). Rapid Stabilization of Partial Differential Equations with Disturbances.
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[10] P. Guzmán and E. Hernández.System and Control Letters 196 (2025) Article 105973. -
[9] P. Guzmán and E. Hernández.Mathematical Methods in the Applied Sciences 46 (17) (2023) 18035-18043. -
[8] P. Guzmán and L. Rosier.SIAM Journal on Control and Optimization 59 (1) (2021) 131-155. -
[7] P. Guzmán.Applied Mathematics and Optimization 82 (1) (2020) 279-306. -
[6] P. Guzmán.Mathematical Methods in the Applied Sciences 43 (9) (2020) 5979-5984. -
[5] P. Guzmán.Journal of Mathematical Analysis and Applications 467 (1) (2018) 238-252. -
[4] E. Cerpa, P. Guzmán and A. Mercado.ESAIM: Control, Optimisation and Calculus of Variations 23 (1) (2017) 165-194. -
[3] N. Carreño and P. Guzmán.Journal of Differential Equations 261 (11) (2016) 6485-6520. -
[2] P. Guzmán and J. Zhu.Journal of Mathematical Analysis and Applications 425 (2) (2015) 655-665. -
[1] P. Guzmán.Journal of Mathematical Analysis and Applications 408 (1) (2013) 275–290.
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[2] P. Guzmán and C. Prieur.59th IEEE Conference on Decision and Control; Jeju Island, Korea, 2020. -
[1] P. Guzmán, S. Marx and E. Cerpa.and XI Workshop Control of Distributed Parameter Systems; Oaxaca, México, 2019.
Former Students
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[5] Agustín Huerta (November 21, 2024) / Codirected with Hugo Parada.Mathematical Engineering and M.Sci. in Mathematics. -
[4] Felipe Labra (August 22, 2024) / Codirected with Hugo Parada.Mathematical Engineering. -
[3] Tomás Cortés (January 13, 2023) / Codirected with Rodrigo Lecaros.Mathematical Engineering and M.Sci. in Mathematics. -
[2] Gonzalo Arias (January 20, 2021) / Codirected with Eduardo Cerpa.Mathematical Engineering and M.Sci. in Mathematics. -
[1] Hugo Parada (September 1, 2020) / Codirected with Eduardo Cerpa.Mathematical Engineering and M.Sci. in Mathematics.