# Dr Markus Mueller

## Senior Lecturer in Applied Mathematics

**01326 259483**

**Environment and Sustainability Institute 1.27c**

**Environment and Sustainability Institute, University of Exeter, Penryn Campus, Penryn, Cornwall, TR10 9FE, UK**

**Office hours:**

**Please send an email to arrange a meeting.**

## Overview

My research is grounded in mathematical systems and control theory and finds application in marine engineering, renewable energy, built infrastructure, systems biology, and human health and well-being.

Further, I am helping to develop the Mathematical Sciences taught programmes at the university's Penryn Campus and I am currently contributing to a number of modules for undergraduate students. A strong focus of the teaching lies in the interdisciplinarity of mathematics and its use within science and engineering.

I am also a member of the Mathematics department in the College of Engineering, Mathematics and Physical Sciences.

You can view my Google Scholar account here.

You can find out more by watching a two-minute video of me explaining my work.

### Qualifications

**2014 **Fellow of the Higher Eduction Academy

**2009** Dr. rer. nat. in Mathematics (Ilmenau University of Technology, Germany)

**2005** Diploma in Mathematics (Ilmenau University of Technology, Germany)

### Career

**2017 -present **Senior Lecturer, University of Exeter

**2012-2017**

**Lecturer, University of Exeter**

**2010-2012**Associate Research Fellow, University of Exeter

**2009-2010**Associate Research Fellow, University of Melbourne, Australia

**2006-2009**DFG PhD Research Fellow, Ilmenau University of Technology, Germany

**2005-2006**Research Assistant, University of Southampton

### Research group links

## Research

### Research interests

- Systems theory: time-varying linear systems, nonlinear systems, systems with multi-dimensional inputs/outputs (e.g. vector relative degree), stability analysis
- Robust control: adaptive and funnel control, robustness analysis using operator theoretical approaches (e.g. gap metric)
- Optimal control: linear programming, model predictive control
- Applications of control theory:
- Wave Energy Converters: point absorbers, oscillating water columns
- Population ecology: species-species interactions, pest management, invasive species
- Built invironment: facilities portfolio management
- Human health and wellbeing: human-buildings interactions

### Research projects

Current projects and responsibilities:

- OPERA: Open Sea Operating Experience to Reduce Wave Energy Cost (H2020, CoI) responsibilites: control strategies for oscillating water column wave energy converters
- Marine-i (ERDF, CoI), responsibilities: research, development and innovation support for the marine technology sector in Cornwall and the Isles of Scilly
- Smartline: Smart wellbeing inspired by the community (ERDF, CoI), responsibilities: research, development and innovation into technologies for "smart houses" to support human health and well-being
- The Magnetic Open to Closed Characterisation of Magnetic Materials and 3D Magnets at elevated temperatures (InnovateUK KTP with Hirst Magnetic Instruments Ltd., Lead Academic), responsibilities: modelling and simulations to make open magnetic circuit characterisation techniques more acceptable to the magnetics market
- Environmental Growth for Business (ERDF, CoI), responsibilities: modelling for ecosystem services and circular economics approaches

Completed projects:

- Smart Facilities Management (2015 - 2017, InnovateUK KTP with NJW Limited, Academic Supervisor), responsibilities: development and implementation of a smart facilities management tool to deliver scenario planning capability

## Publications

Key publications | Publications by category | Publications by year

### Key publications

**Guiver C, Mueller M, Hodgson D, Townley S**(2016). Robust set-point regulation for ecological models with multiple management goals.

*J Math Biol*,

*72*(6), 1467-1529. Abstract. Author URL. Full text.

**Guiver C, Edholm C, Jin Y, Mueller M, Powell J, Rebarber R, Tenhumberg B, Townley S**(2016). Simple Adaptive Control for Positive Linear Systems with Applications to Pest Management.

*SIAM Journal on Applied Mathematics*,

*76*(1), 238-275. Full text.

**Rüffer BS, Van De Wouw N, Mueller M**(2013). Convergent systems vs. incremental stability.

*Systems and Control Letters*,

*62*(3), 277-285. Abstract.

**Hackl CM, Hopfe N, Ilchmann A, Mueller M, Trenn S**(2013). FUNNEL CONTROL FOR SYSTEMS WITH RELATIVE DEGREE TWO.

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*,

*51*(2), 965-995. Author URL. Full text.

### Publications by category

### Journal articles

**Maier M, Mueller M, Yan X**(In Press). Introducing a Localised Spatio-temporal LCI Method with wheat production as exploratory case study.

*Journal of Cleaner Production*Full text.

**Nicol‑Harper A, Dooley C, Packman D, Mueller M, Bijak J, Hodgson D, Townley S, Ezard T**(2018). Inferring transient dynamics of human populations from matrix non-normality.

*Population Ecology*Full text.

**Guiver C, Mueller M, Hodgson D, Townley S**(2016). Robust set-point regulation for ecological models with multiple management goals.

*J Math Biol*,

*72*(6), 1467-1529. Abstract. Author URL. Full text.

**Guiver C, Edholm C, Jin Y, Mueller M, Powell J, Rebarber R, Tenhumberg B, Townley S**(2016). Simple Adaptive Control for Positive Linear Systems with Applications to Pest Management.

*SIAM Journal on Applied Mathematics*,

*76*(1), 238-275. Full text.

**Rüffer BS, Van De Wouw N, Mueller M**(2013). Convergent systems vs. incremental stability.

*Systems and Control Letters*,

*62*(3), 277-285. Abstract.

**Hackl CM, Hopfe N, Ilchmann A, Mueller M, Trenn S**(2013). FUNNEL CONTROL FOR SYSTEMS WITH RELATIVE DEGREE TWO.

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*,

*51*(2), 965-995. Author URL. Full text.

**Ruffer BS, Van De Wouw N, Mueller M**(2012). From convergent dynamics to incremental stability.

*Proceedings of the IEEE Conference on Decision and Control*, 2958-2963.

**Li G, Weiss G, Mueller M, Townley S, Belmont MR**(2012). Wave energy converter control by wave prediction and dynamic programming.

*Renewable Energy*,

*48*, 392-403. Abstract.

**Mueller M**(2009). Normal form for linear systems with respect to its vector relative degree.

*Linear Algebra and its Applications*,

*430*(4), 1292-1312. Abstract.

**French M, Ilchmann A, Mueller M**(2009). Robust stabilization by linear output delay feedback.

*SIAM J. Control Optim.*,

*48*(4), 2533-2561. Abstract.

**Ilchmann A, Mueller M**(2009). Robustness of funnel control in the gap metric.

*SIAM J. Control Optim.*,

*48*(5), 3169-3190. Abstract.

**Ilchmann A, Mueller M**(2008). Robustness of λ-tracking in the gap metric.

*SIAM J. Control Optim.*,

*47*(5), 2724-2744. Abstract.

**Ilchmann A, Mueller M**(2007). Time-varying linear systems: relative degree and normal form.

*IEEE Trans. Aut. Control*,

*52*(5), 840-851. Abstract.

### Conferences

**Faÿ F-X, Kelly J, Henriques J, Pujana A, Abusara M, Mueller M, Touzon I, Ruiz-Minguela P**(2018). Numerical Simulation of Control Strategies at Mutriku Wave Power Plant. ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. 17th - 22nd Jun 2018.

**Maier M, Mueller M, Yan X**(2017). Introduction of a spatiotemporal Life Cycle Inventory method using a wind energy example. Abstract. Full text.

**Mueller M, Cantoni M**(2010). Normalized coprime representations for time-varying linear systems. appears: Proc. 49th IEEE Conf. Decis. Control. Abstract. Full text.

### Publications by year

### In Press

**Maier M, Mueller M, Yan X**(In Press). Introducing a Localised Spatio-temporal LCI Method with wheat production as exploratory case study.

*Journal of Cleaner Production*Full text.

### 2018

**Nicol‑Harper A, Dooley C, Packman D, Mueller M, Bijak J, Hodgson D, Townley S, Ezard T**(2018). Inferring transient dynamics of human populations from matrix non-normality.

*Population Ecology*Full text.

**Faÿ F-X, Kelly J, Henriques J, Pujana A, Abusara M, Mueller M, Touzon I, Ruiz-Minguela P**(2018). Numerical Simulation of Control Strategies at Mutriku Wave Power Plant. ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. 17th - 22nd Jun 2018.

### 2017

**Maier M, Mueller M, Yan X**(2017). Introduction of a spatiotemporal Life Cycle Inventory method using a wind energy example. Abstract. Full text.

### 2016

**Guiver C, Mueller M, Hodgson D, Townley S**(2016). Robust set-point regulation for ecological models with multiple management goals.

*J Math Biol*,

*72*(6), 1467-1529. Abstract. Author URL. Full text.

**Guiver C, Edholm C, Jin Y, Mueller M, Powell J, Rebarber R, Tenhumberg B, Townley S**(2016). Simple Adaptive Control for Positive Linear Systems with Applications to Pest Management.

*SIAM Journal on Applied Mathematics*,

*76*(1), 238-275. Full text.

### 2013

**Rüffer BS, Van De Wouw N, Mueller M**(2013). Convergent systems vs. incremental stability.

*Systems and Control Letters*,

*62*(3), 277-285. Abstract.

**Hackl CM, Hopfe N, Ilchmann A, Mueller M, Trenn S**(2013). FUNNEL CONTROL FOR SYSTEMS WITH RELATIVE DEGREE TWO.

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*,

*51*(2), 965-995. Author URL. Full text.

### 2012

**Ruffer BS, Van De Wouw N, Mueller M**(2012). From convergent dynamics to incremental stability.

*Proceedings of the IEEE Conference on Decision and Control*, 2958-2963.

**Li G, Weiss G, Mueller M, Townley S, Belmont MR**(2012). Wave energy converter control by wave prediction and dynamic programming.

*Renewable Energy*,

*48*, 392-403. Abstract.

### 2010

**Mueller M, Cantoni M**(2010). Normalized coprime representations for time-varying linear systems. appears: Proc. 49th IEEE Conf. Decis. Control. Abstract. Full text.

**Ilchmann A, Mueller M**(2010). Robustness of funnel control in the gap metric. appears: Proc. 49th IEEE Conf. Decis. Control. Abstract. Full text.

### 2009

**Mueller M**(2009). Normal form for linear systems with respect to its vector relative degree.

*Linear Algebra and its Applications*,

*430*(4), 1292-1312. Abstract.

**Mueller M**(2009). Output Feedback Control and Robustness in the Gap Metric.

**French M, Ilchmann A, Mueller M**(2009). Robust stabilization by linear output delay feedback.

*SIAM J. Control Optim.*,

*48*(4), 2533-2561. Abstract.

**Ilchmann A, Mueller M**(2009). Robustness of funnel control in the gap metric.

*SIAM J. Control Optim.*,

*48*(5), 3169-3190. Abstract.

**Ilchmann A, Mueller M**(2009). Robustness of λ-tracking and funnel control in the gap metric. Proc. Joint 48th IEEE Conf. Decis. Control and 28th Chinese Contr. Conf. Abstract. Full text.

### 2008

**Ilchmann A, Mueller M**(2008). Robustness of λ-tracking in the gap metric.

*SIAM J. Control Optim.*,

*47*(5), 2724-2744. Abstract.

### 2007

**Ilchmann A, Mueller M**(2007). Time-varying linear systems: relative degree and normal form.

*IEEE Trans. Aut. Control*,

*52*(5), 840-851. Abstract.

### 2005

**Mueller M**(2005). A normal form for time-varying linear systems. Abstract.

**Mueller M**(2005). Lemmata zum Hurwitz-Kriterium.

Markus_Mueller Details from cache as at 2019-08-19 16:12:27

## Teaching

I am interested in sharing pure and applied mathematics knowledge with students in our Mathematical Sciences and any other degree programmes.

I am particularly interested in Calculus and Analysis, Linear Algebra, Differential Equations and Dynamical System, System and Control Theory, and interdisciplinary teaching.

### Modules

I am leading (or contributing to) the modules:

- Mathematics of the Environment II (since 2014)
- Data, Signals and Systems (since 2015)
- Vectors and Matrices (since 2016)
- Calculus and Geometry (since 2016)
- Fundamentals of Interdisciplinary Mathematics (with Professional Skills) (since 2016)
- Advanced Interdisciplinary Mathematics (since 2018)

In recent years, I have lead or contributed to the modules:

- Mathematics 2 (2014-2018)
- Scientific Computing (2016-2017)

## Supervision / Group

### Research Fellows

- Jack Wade (KTP Associate)

### Postdoctoral researchers

- Maria Correa Cano (Honorary Research Associate)
- Tamaryn Menneer (Postdoctoral Research Fellow)

### Postgraduate researchers

- Sohaib Talal Al-Ramadhani (PhD Student)
- Yasser Alrashedi (PhD Student)
- Kevin Bolton (PhD Student)

### Alumni

- Kirubhakaran Krishnanathan (former KTP Associate)
- Marina Maier (graduated 2018)