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Mathematical systems and control theory “represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems” [1]. It concerns itself with ``the basic theoretical principles underlying the analysis of feedback and the design of control systems [and] differs from the more classical study of dynamical systems in its emphasis on inputs (or controls) and outputs (or measurements)” [2].
Control systems and feedback loops are ubiquitous in science and engineering, and arise in traditional areas from aerospace control, manufacturing and process control, through to robotics, electrical power systems, systems biology, and therapeutics. The modern study of control systems traces its roots back to the industrial revolution and the principles of feedback control are at the heart of the flyball governor which was used regulate pressure in steam engines and facilitate their safe operation. Nowadays, the design and deployment of control systems has been fantastically successful, with 31 real-world success stories described in [3]. Novel and emerging applications where control systems play an essential role range from the control of autonomous vehicles, smart grids and devices, through to epidemiology [4].
Mathematical control theory is broad and makes connections to numerous other mathematical areas, including:
The projects offered are mathematical, although there is ample scope for more theoretical or more applications-focussed projects, which may contain a large numerical/computational component, depending on applicant and the overall direction of the research. Further, the second supervisor may change depending on the theme chosen. Please also note that prior experience of mathematical control theory is not a requirement --- strong mathematics knowledge and experience is essential, however. Perspective applicants are encouraged to contact the Supervisor before submitting their applications, highlighting which of the above areas are of most interest. Applications should make it clear the project you are applying for and the name of the supervisors.
Academic qualifications
A first-class honours degree, or a distinction at master level, or equivalent achievements in Mathematics or another cognate discipline
English language requirement
If your first language is not English, comply with the University requirements for research degree programmes in terms of English language.
Application process
Prospective applicants are encouraged to contact the supervisor, Dr Chris Guiver (c.guiver@napier.ac.uk) to discuss the content of the project and the fit with their qualifications and skills before preparing an application.
Contact details
Should you need more information, please email SCEBERDL@napier.ac.uk.
The application must include:
Research project outline of 2 pages (list of references excluded). The outline may provide details about
The outline must be created solely by the applicant. Supervisors can only offer general discussions about the project idea without providing any additional support.
Applications can be submitted here. To be considered, the application must use:
Download a copy of the project details here
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