Applications accepted all year round  Self-Funded PhD Students Only

About the Project

Invariant sets play an important and fundamental role in the design of control systems. An invariant set is a region of a dynamic system’s state space that has the following property: if the state of the system is within the set at some time, then it is guaranteed to remain within the set for all future times. Therefore, being able to characterize and compute these sets is of prime importance when designing control systems that offer guarantees of safety and constraint satisfaction.

The project will research the theory and computation of invariant sets, and their application to new control problems. The ultimate goal is to develop theory and methods for the construction of low-complexity invariant sets, using computationally tractable algorithms.

Mathematics (25)

Funding Notes

This is a self-funded research project.
We require applicants to have either an undergraduate honours degree (1st) or MSc (Merit or Distinction) in a relevant science or engineering subject from a reputable institution.
Prospective candidates should have an excellent first degree and/or Masters degree in a mathematical or engineering-related subject. A background in control/systems theory and convex optimization is desirable
Full details of how to apply can be found at the following link:
View Website
Applicants can apply for a Scholarship from the University of Sheffield but should note that competition for these Scholarships is highly competitive: View Website

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