# Items by Guiver, Christopher

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**17**.## Articles

Guiver, C., Hodgson, D. and Townley, S., 2016. Forthcoming. A note on the eigenvectors of perturbed matrices with applications to linear positive systems.

*Linear Algebra and its Applications*Bill, A., Guiver, C., Logemann, H. and Townley, S., 2016. Stability of Non-Negative Lur'e Systems.

*SIAM Journal on Control and Optimization*, 54 (3), pp. 1176-1211.Guiver, C., Mueller, M., Hodgson, D. and Townley, S., 2016. Robust set-point regulation for ecological models with multiple management goals.

*Journal of Mathematical Biology*, 72 (6), pp. 1467-1529.Guiver, C., Edholm, C., Jin, Y., Mueller, M., Powell, J., Rebarber, R., Tenhumberg, B. and Townley, S., 2016. Simple adaptive control for positive linear systems with applications to pest management.

*SIAM Journal on Applied Mathematics*, 76 (1), pp. 238-275.Guiver, C., Dreiwi, H., Filannino, D. M., Hodgson, D., Lloyd, S. and Townley, S., 2015. The role of population inertia in predicting the outcome of stage-structured biological invasions.

*Mathematical Biosciences*, 265, pp. 1-11.Guiver, C., Logemann, H., Rebarber, R., Bill, A., Tenhumberg, B., Hodgson, D. and Townley, S., 2015. Integral control for population management.

*Journal of Mathematical Biology*, 70 (5), pp. 1015-1063.Guiver, C. and Opmeer, M.R., 2014. Model reduction by balanced truncation for systems with nuclear Hankel operators.

*SIAM Journal on Control and Optimization (SICON)*, 52 (2), pp. 1366-1401.Eager, E. A., Guiver, C., Hodgson, D., Rebarber, R., Stott, I. and Townley, S., 2014. Bounds on the dynamics of sink populations with noisy immigration.

*Theoretical Population Biology*, 92, pp. 88-96.Guiver, C., Hodgson, D. and Townley, S., 2014. Positive state controllability of positive linear systems.

*Systems & Control Letters*, 65 (1), pp. 23-29.Guiver, C. and Opmeer, M. R., 2013. Error bounds in the gap metric for dissipative balanced approximations.

*Linear Algebra and its Applications*, 439 (12), 3659–3698.Guiver, C. and Opmeer, M. R., 2013. Bounded real and positive real balanced truncation for infinite-dimensional systems.

*Mathematical Control and Related Fields*, 3 (1), pp. 83-119.Guiver, C. and Opmeer, M. R., 2011. A counterexample to "positive realness preserving model reduction with H-infinity norm error bounds".

*IEEE Transactions on Circuits and Systems. Part I: Regular Papers*, 58 (6), pp. 1410-1411.Guiver, C. and Opmeer, M. R., 2010. Non-dissipative boundary feedback for Rayleigh and Timoshenko beams.

*Systems & Control Letters*, 59 (9), pp. 578-586.## Conference or Workshop Items

Bill, A., Guiver, C., Logemann, H. and Townley, S., 2014. A stability/instability trichotomy for non-negative Lur’e systems.

Guiver, C. and Townley, S., 2014. Controllability for positive discrete–time linear systems with p ositive state.

## Thesis

Guiver, C., 2012.

*Model Reduction by Balanced Truncation.*Thesis (Doctor of Philosophy (PhD)). University of Bath.## Non-academic press

Guiver, C., Mueller, M., Lloyd, S. and Townley, S., 2015.

*The Tour de Maths Reaches Out in Cornwall.**Mathematics Today*