Chris Guiver
chris guiver

Dr Chris Guiver

Lecturer

 0131 455 2513

  C.Guiver@napier.ac.uk

  

Biography

Chris Guiver is a lecturer in the mathematics group at Edinburgh Napier University, and started the role in July 2020. Between January 2016 and June 2020 he was a Lecturer in Applied Mathematics at the University of Bath.

Chris obtained a Mmath and Ph.D. in mathematics in 2008 and 2012, respectively, both from the University of Bath. Between 2012 and 2015, he was the postdoctoral researcher on the EPSRC project EP/I019456/1 at the University of Exeter. He obtained the award of FHEA in 2018.

Chris’s research interests lie at the intersection of mathematical analysis and mathematical control theory. In its broadest sense, mathematical control theory seeks to both understand and consequently shape the behaviour of interconnected dynamical systems — modelling temporally-varying real-world objects. Chris is also interested in establishing connections between mathematical control theory, and problems arising in biology and ecology, and seeks to increase the awareness and uptake of concepts from mathematical systems and control theory in ecological modelling and management. The concepts of forced nonlinear dynamics, feedbacks, and control or management strategies/actions are ubiquitous in both disciplines.

His research draws upon and contributes to techniques from a range of mathematical areas, including: dynamical systems theory; evolution equations; positive (ordered) systems, and; real, complex and applied functional analysis.

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48 results

The generalised singular perturbation approximation for bounded real and positive real control systems

Journal Article
Guiver, C. (2019)
The generalised singular perturbation approximation for bounded real and positive real control systems. Mathematical Control and Related Fields, 9(2), 313-350. https://doi.org/10.3934/mcrf.2019016
The generalised singular perturbation approximation (GSPA) is considered as a model reduction scheme for bounded real and positive real linear control systems. The GSPA is a s...

Recent Findings on Strong Integral Input-To-State Stability for Forced Lur'e Systems

Presentation / Conference
Guiver, C., & Logemann, H. (2018, September)
Recent Findings on Strong Integral Input-To-State Stability for Forced Lur'e Systems. Paper presented at UKACC 12th International Conference on Control (CONTROL), Sheffield, UK
We would like to present recent theoretical results on the strong integral Input-to-State Stability (strong iISS) for the following class of finite-dimensional, continuous-tim...

Small-gain stability theorems for positive Lur'e inclusions

Journal Article
Guiver, C., Logemann, H., & Rüffer, B. (2019)
Small-gain stability theorems for positive Lur'e inclusions. Positivity, 23, 249-289. https://doi.org/10.1007/s11117-018-0605-2
Stability results are presented for a class of differential and difference inclusions, so-called positive Lur{\textquoteright}e inclusions which arise, for example, as the feedb...

Management of Invasive Insect Species using Optimal Control Theory

Journal Article
Edholm, C., Tenhumberg, B., Guiver, C., Jin, Y., Townley, S., & Rebarber, R. (2018)
Management of Invasive Insect Species using Optimal Control Theory. Ecological Modelling, 381, 36-45. https://doi.org/10.1016/j.ecolmodel.2018.04.011
We discuss the use of optimal control theory to determine the most cost-effective management strategies for insect pests. We use a stage-structured linear population projectio...

On the strict monotonicity of spectral radii for classes of bounded positive linear operators

Journal Article
Guiver, C. (2018)
On the strict monotonicity of spectral radii for classes of bounded positive linear operators. Positivity, 22, 1173-1190. https://doi.org/10.1007/s11117-018-0566-5
Strict monotonicity of the spectral radii of bounded, positive, ordered linear operators is investigated. It is well-known that under reasonable assumptions, the spectral radi...

Transfer Functions of Infinite-Dimensional Systems: Positive Realness and Stabilization

Journal Article
Guiver, C., Logemann, H., & Opmeer, M. R. (2017)
Transfer Functions of Infinite-Dimensional Systems: Positive Realness and Stabilization. Mathematics of Control, Signals, and Systems, 29, https://doi.org/10.1007/s00498-017-0203-z
We consider a general class of operator-valued irrational positive-real functions with an emphasis on their frequency-domain properties and the relation with stabilization by ...

Semi-Global Persistence and Stability for a Class of Forced Discrete-Time Population Models

Journal Article
Franco, D., Guiver, C., Logemann, H., & Perán, J. (2017)
Semi-Global Persistence and Stability for a Class of Forced Discrete-Time Population Models. Physica D: Nonlinear Phenomena, 360, 46-61. https://doi.org/10.1016/j.physd.2017.08.001
We consider persistence and stability properties for a class of forced discrete-time difference equations with three defining properties: the solution is constrained to evolve...

Low-gain Integral Control for Multi-Input, Multi-Output Linear Systems with Input Nonlinearities

Journal Article
Guiver, C., Logemann, H., & Townley, S. (2017)
Low-gain Integral Control for Multi-Input, Multi-Output Linear Systems with Input Nonlinearities. IEEE Transactions on Automatic Control, 62(9), 4776-4783. https://doi.org/10.1109/TAC.2017.2691301
We consider the inclusion of a static anti-windup component in a continuous-time low-gain integral controller in feedback with a multi-input multi-output stable linear system ...

A necessary condition for dispersal driven growth of populations with discrete patch dynamics

Journal Article
Guiver, C., Packman, D., & Townley, S. (2017)
A necessary condition for dispersal driven growth of populations with discrete patch dynamics. Journal of Theoretical Biology, 424, 11-25. https://doi.org/10.1016/j.jtbi.2017.03.030
We revisit the question of when can dispersal-induced coupling between discrete sink populations cause overall population growth? Such a phenomenon is called dispersal driven ...

The converging-input converging-state property for Lur’e systems

Journal Article
Bill, A., Guiver, C., Logemann, H., & Townley, S. (2017)
The converging-input converging-state property for Lur’e systems. Mathematics of Control, Signals, and Systems, 29, https://doi.org/10.1007/s00498-016-0184-3
Using methods from classical absolute stability theory, combined with recent results on input-to-state stability (ISS) of Lur{\textquoteright}e systems, we derive necessary an...

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