Outputs (6)

Bounds on the dynamics of sink populations with noisy immigration (2014)
Journal Article
Eager, E. A., Guiver, C., Hodgson, D., Rebarber, R., Stott, I., & Townley, S. (2014). Bounds on the dynamics of sink populations with noisy immigration. Theoretical Population Biology, 92, 88-96. https://doi.org/10.1016/j.tpb.2013.12.004

Sink populations are doomed to decline to extinction in the absence of immigration. The dynamics of sink populations are not easily modelled using the standard framework of per capita rates of immigration, because numbers of immigrants are determined... Read More about Bounds on the dynamics of sink populations with noisy immigration.

A stability/instability trichotomy for non-negative Lur'e systems (2014)
Conference Proceeding
Bill, A., Guiver, C., Logemann, H., & Townley, S. (2014). A stability/instability trichotomy for non-negative Lur'e systems. In Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (1752-1754)

We identify a stability/instability trichotomy for a class of non-negative continuous-time Lur'e systems. Asymptotic as well as input-to-state stability concepts (ISS) are considered. The presented trichotomy rests on Perron-Frobenius theory, absolut... Read More about A stability/instability trichotomy for non-negative Lur'e systems.

Controllability for positive discrete–time linear systems with positive state (2014)
Conference Proceeding
Guiver, C., & Townley, S. (2014). Controllability for positive discrete–time linear systems with positive state. In Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (1387-1394)

Controllability of componentwise nonnegative discrete-time linear systems is considered. The key difference here from the well-established positive systems theory is that we permit the case where the input takes negative values, provided that the sta... Read More about Controllability for positive discrete–time linear systems with positive state.

Integral control for population management (2014)
Journal Article
Guiver, C., Logemann, H., Rebarber, R., Bill, A., Tenhumberg, B., Hodgson, D., & Townley, S. (2015). Integral control for population management. Journal of Mathematical Biology, 70, 1015-1063. https://doi.org/10.1007/s00285-014-0789-4

We present a novel management methodology for restocking a declining population. The strategy uses integral control, a concept ubiquitous in control theory which has not been applied to population dynamics. Integral control is based on dynamic feedba... Read More about Integral control for population management.

Model reduction by balanced truncation for systems with nuclear Hankel operators (2014)
Journal Article
Guiver, C., & Opmeer, M. R. (2014). Model reduction by balanced truncation for systems with nuclear Hankel operators. SIAM Journal on Control and Optimization, 52(2), 1366-1401. https://doi.org/10.1137/110846981

We prove the H-infinity error bounds for Lyapunov balanced truncation and for optimal Hankel norm approximation under the assumption that the Hankel operator is nuclear. This is an improvement of the result from Glover, Curtain, and Partington [SIAM... Read More about Model reduction by balanced truncation for systems with nuclear Hankel operators.

Positive state controllability of positive linear systems (2014)
Journal Article
Guiver, C., Hodgson, D., & Townley, S. (2014). Positive state controllability of positive linear systems. Systems and Control Letters, 65, 23-29. https://doi.org/10.1016/j.sysconle.2013.12.002

Controllability of positive systems by positive inputs arises naturally in applications where both external and internal variables must remain positive for all time. In many applications, particularly in population biology, the need for positive inpu... Read More about Positive state controllability of positive linear systems.