Chris Guiver

chris guiver

Dr Chris Guiver

Lecturer

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.

Esteem

Conference Activity

  • Academic conference participation

 

Invited Speaker

  • Invited research seminar speaker

 

Public/Community Engagement

  • Public engagement and widening participation

 

Date


40 results

Incremental input-to-state stability for Lur’e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing

Journal Article
Gilmore, M., Guiver, C., & Logemann, H. (2021)
Incremental input-to-state stability for Lur’e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing. Journal of Differential Equations, 300, 692-733. https://doi.org/10.1016/j.jde.2021.08.009
We prove (integral) input-to-state stability results for a class of forced Lur’e differential inclusions and use them to investigate incremental (integral) input-to-state stab...

Persistence and stability for a class of forced positive nonlinear delay-differential systems

Journal Article
Franco, D., Guiver, C., & Logemann, H. (2021)
Persistence and stability for a class of forced positive nonlinear delay-differential systems. Acta applicandae mathematicae, 174, https://doi.org/10.1007/s10440-021-00414-5
Persistence and stability properties are considered for a class of forced positive non-linear delay-differential systems which arise in mathematical ecology and other applied ...

A switching feedback control approach for persistence of managed resources

Journal Article
Franco, D., Guiver, C., Smith, P., & Townley, S. (in press)
A switching feedback control approach for persistence of managed resources. Discrete and Continuous Dynamical Systems - Series B, https://doi.org/10.3934/dcdsb.2021109
An adaptive switching feedback control scheme is proposed for classes of discrete-time, positive difference equations, or systems of equations. In overview, the objective is t...

Sampled-data integral control of multivariable linear infinite-dimensional systems with input nonlinearities

Journal Article
Gilmore, M. E., Guiver, C., & Logemann, H. (in press)
Sampled-data integral control of multivariable linear infinite-dimensional systems with input nonlinearities. Mathematical Control and Related Fields, https://doi.org/10.3934/mcrf.2021001
A low-gain integral controller with anti-windup component is presented for exponentially stable, linear, discrete-time, infinite-dimensional control systems subject to input n...

Dynamic observers for unknown populations

Journal Article
Guiver, C., Poppelreiter, N., Rebarber, R., Tenhumberg, B., & Townley, S. (2021)
Dynamic observers for unknown populations. Discrete and Continuous Dynamical Systems - Series B, 26(6), 3279-3302. https://doi.org/10.3934/dcdsb.2020232
Dynamic observers are considered in the context of structured population modeling and management. Roughly, observers combine a known measured variable of some process with a m...

On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition

Journal Article
Franco, D., Guiver, C., Logemann, H., & Perán, J. (2020)
On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition. Electronic Journal of Qualitative Theory of Differential Equations, 1-15. https://doi.org/10.14232/ejqtde.2020.1.76
We study the size of the global attractor for a delay differential equation with unimodal feedback. We are interested in extending and complementing a dichotomy result by Liz ...

Infinite-dimensional Lur'e systems with almost periodic forcing

Journal Article
Gilmore, M. E., Guiver, C., & Logemann, H. (2020)
Infinite-dimensional Lur'e systems with almost periodic forcing. Mathematics of Control, Signals, and Systems, 32, 327-360. https://doi.org/10.1007/s00498-020-00262-y
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-differen...

Semi-global incremental input-to-state stability of discrete-time Lur'e systems

Journal Article
Gilmore, M., Guiver, C., & Logemann, H. (2020)
Semi-global incremental input-to-state stability of discrete-time Lur'e systems. Systems and Control Letters, 136, https://doi.org/10.1016/j.sysconle.2019.104593
We present sufficient conditions for semi-global incremental input-to-state stability of a class of forced discrete-time Lur'e systems. The results derived are reminiscent of ...

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

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...