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Outputs (48)

Simple adaptive feedback control for positive state control systems (2016)
Presentation / Conference Contribution
Guiver, C., Logemann, H., & Townley, S. (2016, September). Simple adaptive feedback control for positive state control systems. Paper presented at POSTA 2016, the 5th International Symposium on Positive Systems, Rome, Italy

A note on the eigenvectors of perturbed matrices with applications to linear positive systems (2016)
Journal Article
Guiver, C., Hodgson, D., & Townley, S. (2016). A note on the eigenvectors of perturbed matrices with applications to linear positive systems. Linear Algebra and its Applications, 509, 143-167. https://doi.org/10.1016/j.laa.2016.07.010

A result is presented describing the eigenvectors of a perturbed matrix, for a class of structured perturbations. One motivation for doing so is that positive eigenvectors of nonnegative, irreducible matrices are known to induce norms — acting much l... Read More about A note on the eigenvectors of perturbed matrices with applications to linear positive systems.

Stability of Non-Negative Lur'e Systems (2016)
Journal Article
Bill, A., Guiver, C., Logemann, H., & Townley, S. (2016). Stability of Non-Negative Lur'e Systems. SIAM Journal on Control and Optimization, 54(3), 1176-1211. https://doi.org/10.1137/140994599

A stability/instability trichotomy for a class of nonnegative continuous-time Lur'e systems is derived. Asymptotic, exponential, and input-to-state stability concepts are considered. The presented trichotomy rests on Perron–Frobenius theory, absolute... Read More about Stability of Non-Negative Lur'e Systems.

Simple adaptive control for positive linear systems with applications to pest management (2016)
Journal Article
Guiver, C., Edholm, C., Jin, Y., Mueller, M., Powell, J., Rebarber, R., Tenhumberg, B., & Townley, S. (2016). Simple adaptive control for positive linear systems with applications to pest management. SIAM Journal on Applied Mathematics, 76(1), 238-275. https://doi.org/10.1137/140996926

Pest management is vitally important for modern arable farming, but models for pest species are often highly uncertain. In the context of pest management, control actions are naturally described by a nonlinear feedback that is generally unknown, whic... Read More about Simple adaptive control for positive linear systems with applications to pest management.

Robust set-point regulation for ecological models with multiple management goals (2015)
Journal Article
Guiver, C., Mueller, M., Hodgson, D., & Townley, S. (2016). Robust set-point regulation for ecological models with multiple management goals. Journal of Mathematical Biology, 72, 1467-1529. https://doi.org/10.1007/s00285-015-0919-7

Population managers will often have to deal with problems of meeting multiple goals, for example, keeping at specific levels both the total population and population abundances in given stage-classes of a stratified population. In control engineering... Read More about Robust set-point regulation for ecological models with multiple management goals.

The role of population inertia in predicting the outcome of stage-structured biological invasions (2015)
Journal Article
Guiver, C., Dreiwi, H., Filannino, D. M., Hodgson, D., Lloyd, S., & Townley, S. (2015). The role of population inertia in predicting the outcome of stage-structured biological invasions. Mathematical Biosciences, 265, 1-11. https://doi.org/10.1016/j.mbs.2015.04.005

Deterministic dynamic models for coupled resident and invader populations are considered with the purpose of finding quantities that are effective at predicting when the invasive population will become established asymptotically. A key feature of the... Read More about The role of population inertia in predicting the outcome of stage-structured biological invasions.

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)
Presentation / Conference Contribution
Bill, A., Guiver, C., Logemann, H., & Townley, S. (2014, July). A stability/instability trichotomy for non-negative Lur'e systems. Presented at 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, The Netherlands

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)
Presentation / Conference Contribution
Guiver, C., & Townley, S. (2014, July). Controllability for positive discrete–time linear systems with positive state. Presented at The 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, The Netherlands

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.