Photo of Dr Tim Hughes

Dr Tim Hughes

Lecturer in Mathematics


My research concerns the fundamental mathematical principles which underlie the analysis, synthesis and control of interconnected systems (mechanical, electrical, financial, etc), and the application of mathematics to better understand and design such systems.

One strand of this research concerns the design of mechanical and electrical networks. Recent research has exposed a number of important questions concerning minimality of such networks, which my research aims to address.

A second strand concerns passivity and passive control, where I have addressed fundamental questions on the relationship between passivity and controllability, and on optimal energy extraction from passive systems. The extraction of energy from a passive system with a renewable energy source is a feature of many renewable energy technologies, and I am interested in control and optimisation in this and other similar settings.

A recent and growing interest is in monetary system dynamics and its effects on inequality and resource depletion. 

I teach on the modules 'Fundamentals of interdisciplinary mathematics' and 'Advanced interdisciplinary mathematics', which consider contemporary issues from ecology, renewable energy and environmental sciences from a mathematical sciences perspective.


Applied mathematics; Dynamical systems; Control; Mechanical systems; Networks; Electric circuits; Energy systems; Passivity; Optimal control; Polynomial Matrix Algebra; Interdisciplinary mathematics

Prospective PhD students

I am eager to hear from prospective PhD students. Please contact me for further details of potential projects.


Details of published work can be found under the Publications tab.

I have also deposited several preprints and postprints on ArXiV:


Having completed an MEng at the University of Cambridge Department of Engineering, I worked for 3 years for the product development consultancy 'The Technology Partnership plc'. I returned to the University of Cambridge in 2010 to undertake a PhD in Control Engineering, graduating in 2014. From 2013 to 2017, I was a Henslow Research Fellow at Fitzwilliam College, University of Cambridge, funded by the Cambridge Philosophical Society. In the final year of this research fellowship, I was additionally an affiliated lecturer at the University of Cambridge.

I joined Exeter in November 2017 as a lecturer in the Department of Mathematics on the Penryn Campus.