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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., …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.