UROP Research Mentor Project Submission Portal: Submission #1259

serial: '1259'
sid: '20891'
uuid: 5238214c-b449-4fe4-bbc3-173495b456d2
uri: /urop-research-mentor-project-submission-portal
created: '1755548954'
completed: '1755550125'
changed: '1756137548'
in_draft: '0'
current_page: ''
remote_addr: 68.63.41.233
uid: '0'
langcode: en
webform_id: urop_project_proposal_portal
entity_type: node
entity_id: '1116'
locked: '0'
sticky: '0'
notes: ''
metatag: meta
data:
  roundtable_info: {  }
  approximately_how_many_hours_a_week_would_the_research_assistant: '6 hours per week'
  are_you_currently_looking_for_students_: 'Yes'
  confirmation_1: '1'
  contact_email_fsu_email: yz24l@fsu.edu
  contact_email_fsu_email2: ''
  contact_email_fsu_email_if_affiliated_: fliu@eng.famu.fsu.edu
  faculty_advisor_confirmation: ''
  faculty_advisor_name: ''
  faculty_advisor_s_fsu_email: ''
  fsu_college: 'FAMU-FSU College of Engineering'
  fsu_department_if_applicable_: 'Electrical and Computer Engineering'
  headshot_optional_: ''
  if_the_project_location_is_off_campus_does_the_student_need_to_p: 'No'
  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.'
  mentor_handbook_and_faqs: '1'
  name_of_other_faculty_collaborator_if_applicable_: ''
  number_of_assistants_needed_faculty_postdoc_max_6_graduate_stude: '2'
  other_faculty_collaborator_s_preferred_pronouns: ''
  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.
  please_add_any_additional_information_here: ''
  please_provide_a_link_to_your_publications_a_video_clip_or_a_web: ''
  please_select_the_choice_that_most_accurately_describes_your_exp: 'Fully Remote'
  please_select_the_location_of_your_project_: 'The location is flexible, we can discuss on Zoom or on Engineering campus, or occasionally on FSU main campus'
  position_availability_for_student_research: 'Flexible schedule'
  position_title: Faculty
  primary_research_mentor_name: 'Fengjiao Liu'
  project_keywords: 'control theory, uncertainty quantification'
  relevant_student_major_s_: 'Computer Science, Electrical and Computer Engineering, Mathematics, Statistics, Data Science, Mechanical Engineering, Industrial & Manufacturing Engineering'
  research_mentor_preferred_pronoun2: He/his
  research_mentor_pronouns: She/her
  research_mentor_supervisor_if_different_from_above_: 'Yixiao Zhang'
  research_tasks_for_student_research_assistant_s_: 'literature review, problem formulation, mathematical analysis and proof, coding and simulation.'
  roundtable_times_and_zoom_links: ''
  skills_that_research_assistants_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.
  title_of_the_project: 'Covariance Control for Stochastic Systems'
  update_url: 'https://cre.fsu.edu/urop-research-mentor-project-submission-portal?token=Iyvvy6lXhXBB0ypO0pCvJc0IsODZkcGhBgTH68h3hgQ'
  urop_performance_evaluation: '1'
  urop_poster_presentation: '1'
  when_potential_research_assistants_are_reaching_out_via_email_2: ''
  when_potential_research_assistants_are_reaching_out_via_email_wh: ''
  when_students_are_reaching_out_via_email_what_is_your_preferreda: ''
  would_you_like_to_participate_in_the_urop_research_mentor_round2: 'No'
  would_you_like_to_participate_in_the_urop_research_mentor_roundt: ''
  year: '2025'