Outputs (5)

The generalised singular perturbation approximation for bounded real and positive real control systems (2018)
Journal Article
Guiver, C. (2019). The generalised singular perturbation approximation for bounded real and positive real control systems. Mathematical Control and Related Fields, 9(2), 313-350. https://doi.org/10.3934/mcrf.2019016

The generalised singular perturbation approximation (GSPA) is considered as a model reduction scheme for bounded real and positive real linear control systems. The GSPA is a state-space approach to truncation with the defining property that the trans... Read More about The generalised singular perturbation approximation for bounded real and positive real control systems.

Recent Findings on Strong Integral Input-To-State Stability for Forced Lur'e Systems (2018)
Presentation / Conference
Guiver, C., & Logemann, H. (2018, September). Recent Findings on Strong Integral Input-To-State Stability for Forced Lur'e Systems. Paper presented at UKACC 12th International Conference on Control (CONTROL), Sheffield, UK

We would like to present recent theoretical results on the strong integral Input-to-State Stability (strong iISS) for the following class of finite-dimensional, continuous-time forced Lur'e systems.

Small-gain stability theorems for positive Lur'e inclusions (2018)
Journal Article
Guiver, C., Logemann, H., & Rüffer, B. (2019). Small-gain stability theorems for positive Lur'e inclusions. Positivity, 23, 249-289. https://doi.org/10.1007/s11117-018-0605-2

Stability results are presented for a class of differential and difference inclusions, so-called positive Lur{\textquoteright}e inclusions which arise, for example, as the feedback interconnection of a linear positive system with a positive set-valued... Read More about Small-gain stability theorems for positive Lur'e inclusions.

Management of Invasive Insect Species using Optimal Control Theory (2018)
Journal Article
Edholm, C., Tenhumberg, B., Guiver, C., Jin, Y., Townley, S., & Rebarber, R. (2018). Management of Invasive Insect Species using Optimal Control Theory. Ecological Modelling, 381, 36-45. https://doi.org/10.1016/j.ecolmodel.2018.04.011

We discuss the use of optimal control theory to determine the most cost-effective management strategies for insect pests. We use a stage-structured linear population projection model where the modeled control action increases the mortality in one of... Read More about Management of Invasive Insect Species using Optimal Control Theory.

On the strict monotonicity of spectral radii for classes of bounded positive linear operators (2018)
Journal Article
Guiver, C. (2018). On the strict monotonicity of spectral radii for classes of bounded positive linear operators. Positivity, 22, 1173-1190. https://doi.org/10.1007/s11117-018-0566-5

Strict monotonicity of the spectral radii of bounded, positive, ordered linear operators is investigated. It is well-known that under reasonable assumptions, the spectral radii of two ordered positive operators enjoy a non-strict inequality. It is al... Read More about On the strict monotonicity of spectral radii for classes of bounded positive linear operators.