Research Output per year

## 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

### Infinite-dimensional Lur'e systems: input-to-state stability and convergence properties

Guiver, C., Logemann, H. & Opmeer, M., 2019, In : SIAM Journal on Control and Optimization. 57, 1, p. 334-365 32 p.Research output: Contribution to journal › Article

### Stability and convergence properties of forced infinite-dimensional discrete-time Lur’e systems

Gilmore, M., Guiver, C. & Logemann, H., 28 Jan 2019, In : International Journal of Control.Research output: Contribution to journal › Article

### The generalised singular perturbation approximation for bounded real and positive real control systems

Guiver, C., 1 Jun 2019, In : Mathematical Control and Related Fields. 9, 2, p. 313-350Research output: Contribution to journal › Article

### 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 journal › Article

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

Guiver, C., 1 Sep 2018, In : Positivity. 22, 4, p. 1173–1190Research output: Contribution to journal › Article

## Thesis

## Model Reduction by Balanced Truncation

Author: Guiver, C., 26 Jun 2012Supervisor: Opmeer, M. (Supervisor)

Student thesis: Doctoral Thesis › PhD