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Personal profile

Research interests

I am an applied mathematician with research interests in mathematical control theory and its applications to biology and ecology. Roughly, these interests lie in what is termed applied dynamical systems, and draws upon real, complex and applied functional analysis as well as dynamical systems theory. Many examples of biological systems are so-called positive systems, meaning that their dynamics evolve in positive cones (representing necessarily nonnegative quantities, such as abundance), not linear spaces. There is much beautiful and useful mathematics associated with positive systems, I believe, and owing to potential applications I am interested in control theory within this framework.

I started as a lecturer in Bath in January 2016, before which I was a research post-doc at the University of Exeter. I obtained my PhD, also from Bath, in 2012.

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Positive Systems Mathematics
Balanced Truncation Mathematics
Linear systems Engineering & Materials Science
Lur'e System Mathematics
System theory Engineering & Materials Science
Feedback Engineering & Materials Science
Controllability Engineering & Materials Science
Error Bounds Mathematics

Research Output 2010 2015

3 Citations (Scopus)
107 Downloads (Pure)

Integral control for population management

Guiver, C., Logemann, H., Rebarber, R., Bill, A., Tenhumberg, B., Hodgson, D. & Townley, S., Apr 2015, In : Journal of Mathematical Biology. 70, 5, p. 1015-1063 49 p.

Research output: Contribution to journalArticle

Open Access
File
Population
Ecological Model
Population dynamics
model uncertainty
Population Dynamics
11 Citations (Scopus)
96 Downloads (Pure)

Model reduction by balanced truncation for systems with nuclear Hankel operators

Guiver, C. & Opmeer, M. R., 29 Apr 2014, In : SIAM Journal on Control and Optimization. 52, 2, p. 1366-1401 36 p.

Research output: Contribution to journalArticle

Open Access
File
Nuclear Operators
Balanced Truncation
Sobolev spaces
Hankel Operator
Model Reduction
2 Citations (Scopus)
84 Downloads (Pure)
Open Access
File
Balanced Truncation
Infinite-dimensional Systems
Error Bounds
Singular Values
Gap Metric
4 Citations (Scopus)

Error bounds in the gap metric for dissipative balanced approximations

Guiver, C. & Opmeer, M. R., 15 Dec 2013, In : Linear Algebra and its Applications. 439, 12, p. 3659–3698

Research output: Contribution to journalArticle

Gap Metric
Balanced Truncation
Error Bounds
Approximation
Decomposition
5 Citations (Scopus)
49 Downloads (Pure)
Open Access
File
Transfer functions
Networks (circuits)

Thesis

Model Reduction by Balanced Truncation

Author: Guiver, C., 26 Jun 2012

Supervisor: Opmeer, M. (Supervisor)

Student thesis: Doctoral ThesisPhD

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