UROP Research Mentor Project Submission Portal: Submission #1259

Submission information
Submission Number: 1259
Submission ID: 20891
Submission UUID: 5238214c-b449-4fe4-bbc3-173495b456d2

Created: Mon, 08/18/2025 - 04:29 PM
Completed: Mon, 08/18/2025 - 04:48 PM
Changed: Mon, 08/25/2025 - 11:59 AM

Remote IP address: 68.63.41.233
Submitted by: Anonymous
Language: English

Is draft: No
Primary Research Mentor Name Fengjiao Liu
Research Mentor Preferred Pronouns She/her
When potential research assistants are reaching out via email, what is your preferred honorific?
Contact Email (FSU Email if affiliated) fliu@eng.famu.fsu.edu
Position Title Faculty
FSU College (if applicable) FAMU-FSU College of Engineering
FSU Department or Non-FSU Organization Affiliation Electrical and Computer Engineering
Headshot (optional)
Research Assistant Supervisor (if different from above) Yixiao Zhang
Research Assistant Supervisor Preferred Pronouns He/his
Research Assistant Supervisor Preferred Honorific?
Contact Email (FSU Email if affiliated) yz24l@fsu.edu
Name of Other Faculty/Collaborator(s) (if applicable)
Other Faculty/Collaborator(s) Preferred Pronouns
Other Faculty/Collaborator(s) Preferred Honorific?
Contact Email (FSU Email if affiliated)
Title of the Project Covariance Control for Stochastic Systems
Project Keywords control theory, uncertainty quantification
Are you currently looking for research assistants? Yes
Number of Research Assistants Needed 2
Relevant Research Assistant Major(s) Computer Science, Electrical and Computer Engineering, Mathematics, Statistics, Data Science, Mechanical Engineering, Industrial & Manufacturing Engineering
Project Location: The location is flexible, we can discuss on Zoom or on Engineering campus, or occasionally on FSU main campus
If the project location is off campus, does the research assistant(s) need to provide their own transportation? No, the project is remote
Please select the choice that most accurately describes your expectations for the research assistant(s): Fully Remote
Approximately how many hours a week would the research assistant(s) need to work? 6 hours per week
Roughly what time frame do you expect research assistant(s) to work? Flexible schedule (Combination of business and outside of business. TBD between student and research mentor.)
Overall Research Project Description Covariance control is one way to quantify the uncertainty in dynamical systems and has applications in trajectory planning. This project aims to control the covariance matrix of the state vector in stochastic dynamical systems from a given initial state covariance to a desired target state covariance over a finite time horizon, while minimizing a quadratic cost function such as control energy. There are two separate objectives of this project:
1. For a linear stochastic system, design an optimal control law for covariance steering with partial constraint on the target state covariance.
2. For a hybrid stochastic system whose dynamics involve a combination of continuous evolution and discrete transitions, design an optimal control law for covariance steering.
Research Tasks literature review, problem formulation, mathematical analysis and proof, coding and simulation.
Skills that research assistant(s) may need: Required: a good mathematical background, coding and programming skills.
Recommended: knowledge on ordinary differential equations, linear algebra, real analysis, probability, stochastic process, and control theory.
Mentoring Philosophy The students should have a good math background and are expected to work independently and plan their timelines. The advisor and students can have a short Zoom meeting biweekly to discuss progress and challenges.
Please provide a link to your publications, a video clip, or a website for your research project (if applicable):
Please add any additional information here (if applicable):
Are you interested in participating in the UROP Research Mentor Roundtable? No
Roundtable times and Zoom links
Mentor Handbook, FAQs, and Communication Yes
UROP Performance Evaluation Yes
Materials Grant Yes
UROP Poster Presentation Yes
Year 2025
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