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

Integral control for population management

Journal Article
Guiver, C., Logemann, H., Rebarber, R., Bill, A., Tenhumberg, B., Hodgson, D., & Townley, S. (2015)
Integral control for population management. Journal of Mathematical Biology, 70, 1015-1063. https://doi.org/10.1007/s00285-014-0789-4
We present a novel management methodology for restocking a declining population. The strategy uses integral control, a concept ubiquitous in control theory which has not been ...

Model reduction by balanced truncation for systems with nuclear Hankel operators

Journal Article
Guiver, C., & Opmeer, M. R. (2014)
Model reduction by balanced truncation for systems with nuclear Hankel operators. SIAM Journal on Control and Optimization, 52(2), 1366-1401. https://doi.org/10.1137/110846981
We prove the H-infinity error bounds for Lyapunov balanced truncation and for optimal Hankel norm approximation under the assumption that the Hankel operator is nuclear. This ...

Positive state controllability of positive linear systems

Journal Article
Guiver, C., Hodgson, D., & Townley, S. (2014)
Positive state controllability of positive linear systems. Systems and Control Letters, 65, 23-29. https://doi.org/10.1016/j.sysconle.2013.12.002
Controllability of positive systems by positive inputs arises naturally in applications where both external and internal variables must remain positive for all time. In many a...

Error bounds in the gap metric for dissipative balanced approximations

Journal Article
Guiver, C., & Opmeer, M. R. (2013)
Error bounds in the gap metric for dissipative balanced approximations. Linear Algebra and its Applications, 439(12), 3659-3698. https://doi.org/10.1016/j.laa.2013.09.032
We derive an error bound in the gap metric for positive real balanced truncation and positive real singular perturbation approximation. We prove these results by working in th...

Bounded real and positive real balanced truncation for infinite-dimensional systems

Journal Article
Guiver, C., & Opmeer, M. R. (2013)
Bounded real and positive real balanced truncation for infinite-dimensional systems. Mathematical Control and Related Fields, 3(1), 83-119. https://doi.org/10.3934/mcrf.2013.3.83
Bounded real balanced truncation for infinite-dimensional systems is considered. This provides reduced order finite-dimensional systems that retain bounded realness. We obtain...

A counter-example to “Positive realness preserving model reduction with H-\infty norm error bounds”

Journal Article
Guiver, C., & Opmeer, M. R. (2011)
A counter-example to “Positive realness preserving model reduction with H-\infty norm error bounds”. IEEE Transactions on Circuits and Systems I: Regular Papers, 58(6), 1410-1411. https://doi.org/10.1109/tcsi.2010.2097750
We provide a counter example to the H∞ error bound for the difference of a positive real transfer function and its positive real balanced truncation stated in “Positive realne...

Non-dissipative boundary feedback for elastic beams

Conference Proceeding
Guiver, C., & Opmeer, M. R. (2010)
Non-dissipative boundary feedback for elastic beams. In Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010
We show that a non-dissipative feedback that has been shown in the literature to exponentially stabilize an Euler-Bernoulli beam makes a Rayleigh beam and a Timoshenko...

Non-dissipative boundary feedback for Rayleigh and Timoshenko beams

Journal Article
Guiver, C., & Opmeer, M. R. (2010)
Non-dissipative boundary feedback for Rayleigh and Timoshenko beams. Systems and Control Letters, 59(9), 578-586. https://doi.org/10.1016/j.sysconle.2010.07.002
We show that a non-dissipative feedback that has been shown in the literature to exponentially stabilize an EulerBernoulli beam makes a Rayleigh beam and a Timoshenko beam uns...

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