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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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Research Output 2010 2019

Open Access
File

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

Recent Findings on Strong Integral Input-To-State Stability for Forced Lur’e Systems

Guiver, C. & Logemann, H., 2018, p. 323-323. 1 p.

Research output: Contribution to conferenceAbstract