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 Â鶹ÉçÇø, 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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54 results

A circle criterion for strong integral input-to-state stability

Journal Article
Guiver, C., & Logemann, H. (2020)
A circle criterion for strong integral input-to-state stability. Automatica, 111, https://doi.org/10.1016/j.automatica.2019.108641
We present sufficient conditions for integral input-to-state stability (iISS) and strong iISS of the zero equilibrium pair of continuous-time forced Lur'e systems, where by st...

Boundedness, persistence and stability for classes of forced difference equations arising in population ecology

Presentation / Conference
Guiver, C., Logemann, H., & Franco, D. (2019, June)
Boundedness, persistence and stability for classes of forced difference equations arising in population ecology. Paper presented at The 25th International Conference on Difference Equations and Applications, UCL, London

Boundedness, persistence and stability for classes of forced difference equations arising in population ecology

Journal Article
Franco, D., Guiver, C., Logemann, H., & Perán, J. (2019)
Boundedness, persistence and stability for classes of forced difference equations arising in population ecology. Journal of Mathematical Biology, 79, 1029-1076. https://doi.org/10.1007/s00285-019-01388-7
Boundedness, persistence and stability properties are considered for a class of nonlinear, possibly infinite-dimensional, forced difference equations which arise in a number o...

Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems

Journal Article
Gilmore, M. E., Guiver, C., & Logemann, H. (2020)
Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems. International Journal of Control, 93(12), 3026-3049. https://doi.org/10.1080/00207179.2019.1575528
Incremental stability and convergence properties for forced, infinite-dimensional, discrete-time Lur'e systems are addressed. Lur'e systems have a linear and nonlinear compone...

Infinite-dimensional Lur'e systems: input-to-state stability and convergence properties

Journal Article
Guiver, C., Logemann, H., & Opmeer, M. R. (2019)
Infinite-dimensional Lur'e systems: input-to-state stability and convergence properties. SIAM Journal on Control and Optimization, 57(1), 334-365. https://doi.org/10.1137/17M1150426
We consider forced Lur'e systems in which the linear dynamic component is an infinite-dimensional well-posed system. Numerous physically motivated delay- and partial different...

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...

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