Welcome to the research page of the Dynamics, Stability, Control and Optimization Lab (DySCO Lab), led by Prof. Roberto Guglielmi.
The research interests of the DySCO LabÌýrange from developing efficientÌýcontrol and optimization methods for complexÌýdynamical systems to the application ofÌýmathematical modelling to describe and enhance our understanding of relevantÌýapplicationsÌýto engineering andÌýlife science. To this aim,ÌýweÌýcombine techniques from
- mathematical modelling and system dynamics;
- control, stability and optimization theory;
- analysis and numerical methods for complex dynamical systems, described by either ordinary or partial differential equations;
- statistical methods and data analysis;
- machine learning.
The researchÌýof the DySCO LabÌýaddresses problems in three broad focus areas: Environment and sustainability; Health; and Energy sector.
As a result, we addressÌýboth fundamental mathematical questionsÌýon control properties of infinite dimensional systems as well as applications ofÌýmathematical modelling to optimal distribution of utilities over power grids,ÌýroboticsÌýfor environmental monitoring and precision agriculture, pest management strategies,Ìýand statistical analysis of health data.
Below, we present aÌýbriefÌýdescription ofÌýsome current research projects.
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Collaborators: Lars Grüne, University of Bayreuth, Germany.
Previous students: Zhuqing Li, Master's student.ÌýLouis (Yi) Lu, URA.
Related funding:ÌýNSERC Discovery Grant, PI, 2021-2026.
Optimal control of Fokker-Planck equations
Collaborators: Lars Grüne, University of Bayreuth, Germany.ÌýArthur Fleig,ÌýUniversity of Leipzig, Germany.
Related funding: NSERC Discovery Grant, PI, 2021-2026.
Collaborators: Gennaro Notomista, University of À¶Ý®ÊÓƵ, ON, Canada.
Students:ÌýHassaan Qazi, PhD student. Jonathan Gallagher, PhD student. Roman Kaharlytskyi,ÌýMaster’s student.
Related funding: FedDev WISA Grant, Co-applicant, 2023-2024.
Collaborators: Maria Soledad Aronna, FGV, Rio de Janeiro, Brazil; Alexandre Molter, UniversidadeÌýFederal de Pelotas (UFPEL).
Students: Hassaan Qazi, PhD student. Yixin Zhao, URA, Fredson Aguiar (FGV).
Previous students: Vipin Kumar, postdoc. Rui Yuan, MITACS Globalink Summer Internship. Midi Wang, NSERC USRA undergraduate student.
Related funding: International Research Partnership GrantÌý(IRPG), PI, 2022-2024. FGV Research Grant, Collaborator, 2024-2027.
Optimal control of Richards’ equations
Collaborators: Marco Berardi, Water Institute - CNR - Bari. Fabio Difonzo, University ofÌýBari, Italy.
Related funding: PrinÌý2022 PNRR, Collaborator, 2023-2026.ÌýInternational Research Partnership GrantÌý(IRPG), PI, 2024-2026.
Mathematical modelling of power grids
Industrial collaborators:ÌýGrand River Energy,ÌýEnova.
Students: Cameron Carruthers, part-time Master's student.ÌýJoshua Caiata, URA.
Ìý
Collaborators: Dillon Browne, University of À¶Ý®ÊÓƵ.
Partners:ÌýUNICEF Canada, Region of À¶Ý®ÊÓƵ.
Students: Awais Choudhary, part-time URA.
Related funding: SSHRC Insight Grant, Co-applicant, 2024-2027.
School-based NPIs to mitigate the impact of the tripledemics
Collaborators: Zahid Butt, University of À¶Ý®ÊÓƵ.ÌýTiffany Fitzpatrick, University of Toronto.
Students: Evan Mitchell, postdoc. Haiyan Zhu, URA.
Related funding: PHAC Grant, Co-applicant, 2024-2025.
