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Frequency analysis of nonlinear infinite-dimensional systems - theory and applications

Department of Automatic Control and Systems Engineering

About the Project

In the last three decades, linear infinite dimensional systems theory has been extensively studied. The basic concepts in linear finite-dimensional dynamical systems theory, such as transfer functions, state space representation, controllability, observability, and stability, have been successfully extended to the study of linear infinite-dimensional systems. Given the inherent nonlinear behaviours of practical science and engineering systems, this project aims to extend the nonlinear system frequency domain theories and methods for finite dimensional systems to the infinite-dimensional case. The project will focus on the further development of the frequency domain theory and methods of nonlinear infinite-dimensional systems, or be concerned with the application of the novel techniques that have been proposed at Sheffield to tackle different science and engineering problems such as turbulence, reaction-diffusion, and health monitoring of engineering structures.

Funding Notes

This is a self-funded research project.
We require applicants to have either an undergraduate honours degree (2:1) or MSc (Merit or Distinction) in a relevant science or engineering subject from a reputable institution.
Prospective candidates for this project should have a good Engineering, Physics, or Mathematical background.
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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