Ph.D.:Hybrid Distributed Parameter Systems: The Centre de Recherche en Informatique, Signal, et Automatique de Lille (CRIStAL) invites applications for a Ph.D. scholarship to develop novel control and estimation strategies for Hybrid Distributed Parameter Systems (DPS). This research will focus on prescribed-time stabilization and estimation for complex physical systems such as traffic flow, hydraulic networks, and biological systems, with potential applications in real-world traffic control systems.
Ph.D. Scholarship 2025: Prescribed-Time Control for Hybrid Distributed Parameter Systems
Designation:
Ph.D. Candidate in Applied Mathematics and Control Theory
Research Area:
Distributed Parameter Systems (DPS), Hybrid Systems, Prescribed-Time Control, Traffic Flow Control, Control Theory, Partial Differential Equations (PDEs)
Location:
Lille, France
Centre de Recherche en Informatique, Signal, et Automatique de Lille (CRIStAL) UMR CNRS 9189
Eligibility/Qualification:
- A solid background in applied mathematics and control theory.
- Strong proficiency in scientific programming (Python, MATLAB).
- Very good command of English.
- A passion for research and the ability to work independently and collaboratively.
- Master’s degree or equivalent in a related field such as Applied Mathematics, Control Theory, Engineering, or a similar discipline.
Job Description:
The candidate will conduct research to develop novel controllers and observers for DPS, specifically targeting prescribed-time stability and estimation. This includes:
- Investigating hybrid phenomena such as switching behavior, impulsive dynamics, and digital effects in DPS.
- Designing and analyzing control strategies for real-world traffic flow models, including ramp metering and variable speed limits.
- Developing frameworks for hybrid DPS that integrate digital systems, sampled-data, event-triggered control, and quantization.
- Writing technical reports, disseminating research through presentations at international conferences, and publishing articles in peer-reviewed journals.
- Regularly reporting progress through annual evaluations.
How to Apply:
Please submit the following documents in a single PDF file to Nicolas Espitia (nicolas.espitia-hoyos@univ-lille.fr):
- Detailed CV
- Motivation letter
- Transcripts of grades
- Contact details for one or two references
Application Deadline:
April 16, 2025
Starting Date:
Between October and December 2025
Additional Notes:
- CRIStAL is located in a “Zone à Régime Restrictif” (ZRR), and additional security clearance documents may be required by the “France Sécurité Défense” (FSD).
