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 2015

- 6 Article

### 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 journal › Article

### 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 journal › Article

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

Guiver, C. & Opmeer, M. R., Mar 2013, In : Mathematical Control and Related Fields. 3, 1, p. 83-119 36 p.Research output: Contribution to journal › Article

### 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. 3659–3698Research output: Contribution to journal › Article

### A counterexample to "positive realness preserving model reduction with H-infinity norm error bounds"

Guiver, C. & Opmeer, M. R., 2011, In : IEEE Transactions on Circuits and Systems. Part I: Regular Papers. 58, 6, p. 1410-1411 2 p.Research 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