Outputs (48)

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 Contribution
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.

Transfer Functions of Infinite-Dimensional Systems: Positive Realness and Stabilization (2017)
Journal Article
Guiver, C., Logemann, H., & Opmeer, M. R. (2017). Transfer Functions of Infinite-Dimensional Systems: Positive Realness and Stabilization. Mathematics of Control, Signals, and Systems, 29, Article 20 (2017). https://doi.org/10.1007/s00498-017-0203-z

We consider a general class of operator-valued irrational positive-real functions with an emphasis on their frequency-domain properties and the relation with stabilization by output feedback. Such functions arise naturally as the transfer functions o... Read More about Transfer Functions of Infinite-Dimensional Systems: Positive Realness and Stabilization.

Semi-Global Persistence and Stability for a Class of Forced Discrete-Time Population Models (2017)
Journal Article
Franco, D., Guiver, C., Logemann, H., & Perán, J. (2017). Semi-Global Persistence and Stability for a Class of Forced Discrete-Time Population Models. Physica D: Nonlinear Phenomena, 360, 46-61. https://doi.org/10.1016/j.physd.2017.08.001

We consider persistence and stability properties for a class of forced discrete-time difference equations with three defining properties: the solution is constrained to evolve in the non-negative orthant, the forcing acts multiplicatively, and the dy... Read More about Semi-Global Persistence and Stability for a Class of Forced Discrete-Time Population Models.

Low-gain Integral Control for Multi-Input, Multi-Output Linear Systems with Input Nonlinearities (2017)
Journal Article
Guiver, C., Logemann, H., & Townley, S. (2017). Low-gain Integral Control for Multi-Input, Multi-Output Linear Systems with Input Nonlinearities. IEEE Transactions on Automatic Control, 62(9), 4776-4783. https://doi.org/10.1109/TAC.2017.2691301

We consider the inclusion of a static anti-windup component in a continuous-time low-gain integral controller in feedback with a multi-input multi-output stable linear system subject to an input nonlinearity (from a class of functions that includes c... Read More about Low-gain Integral Control for Multi-Input, Multi-Output Linear Systems with Input Nonlinearities.

A necessary condition for dispersal driven growth of populations with discrete patch dynamics (2017)
Journal Article
Guiver, C., Packman, D., & Townley, S. (2017). A necessary condition for dispersal driven growth of populations with discrete patch dynamics. Journal of Theoretical Biology, 424, 11-25. https://doi.org/10.1016/j.jtbi.2017.03.030

We revisit the question of when can dispersal-induced coupling between discrete sink populations cause overall population growth? Such a phenomenon is called dispersal driven growth and provides a simple explanation of how dispersal can allow populat... Read More about A necessary condition for dispersal driven growth of populations with discrete patch dynamics.

The converging-input converging-state property for Lur’e systems (2017)
Journal Article
Bill, A., Guiver, C., Logemann, H., & Townley, S. (2017). The converging-input converging-state property for Lur’e systems. Mathematics of Control, Signals, and Systems, 29, Article 4 (2017). https://doi.org/10.1007/s00498-016-0184-3

Using methods from classical absolute stability theory, combined with recent results on input-to-state stability (ISS) of Lur{\textquoteright}e systems, we derive necessary and sufficient conditions for a class of Lur{\textquoteright}e systems to hav... Read More about The converging-input converging-state property for Lur’e systems.