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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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Balanced Truncation Mathematics
Positive Systems Mathematics
Linear systems Engineering & Materials Science
Lur'e System Mathematics
System theory Engineering & Materials Science
Model Reduction Mathematics
Gap Metric Mathematics
Error Bounds Mathematics

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Research Output 2010 2019

1 Citation (Scopus)
Open Access
File
2 Citations (Scopus)

Management of Invasive Insect Species using Optimal Control Theory

Edholm, C., Tenhumberg, B., Guiver, C., Jin, Y., Townley, S. & Rebarber, R., 10 Aug 2018, In : Ecological Modelling. 381, p. 36-45 10 p.

Research output: Contribution to journalArticle

Open Access
File

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

Guiver, C., 1 Sep 2018, In : Positivity. 22, 4, p. 1173–1190

Research output: Contribution to journalArticle

Open Access
Positive Linear Operators
System theory
Spectral Radius
Bounded Linear Operator
Monotonicity

Thesis

Model Reduction by Balanced Truncation

Author: Guiver, C., 26 Jun 2012

Supervisor: Opmeer, M. (Supervisor)

Student thesis: Doctoral ThesisPhD

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