All Outputs (57)

Dynamic observers for unknown populations (2020)
Journal Article
Guiver, C., Poppelreiter, N., Rebarber, R., Tenhumberg, B., & Townley, S. (2021). Dynamic observers for unknown populations. Discrete and Continuous Dynamical Systems - Series B, 26(6), 3279-3302. https://doi.org/10.3934/dcdsb.2020232

Dynamic observers are considered in the context of structured population modeling and management. Roughly, observers combine a known measured variable of some process with a model of that process to asymptotically reconstruct the unknown state variab... Read More about Dynamic observers for unknown populations.

On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition (2020)
Journal Article
Franco, D., Guiver, C., Logemann, H., & Perán, J. (2020). On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition. Electronic Journal of Qualitative Theory of Differential Equations, 1-15. https://doi.org/10.14232/ejqtde.2020.1.76

We study the size of the global attractor for a delay differential equation with unimodal feedback. We are interested in extending and complementing a dichotomy result by Liz and Röst, which assumed that the Schwarzian derivative of the nonlinear fee... Read More about On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition.

Infinite-dimensional Lur'e systems with almost periodic forcing (2020)
Journal Article
Gilmore, M. E., Guiver, C., & Logemann, H. (2020). Infinite-dimensional Lur'e systems with almost periodic forcing. Mathematics of Control, Signals, and Systems, 32, 327-360. https://doi.org/10.1007/s00498-020-00262-y

We consider forced Lur’e systems in which the linear dynamic component is an infinite-dimensional well-posed system. Numerous physically motivated delay- and partial-differential equa-tions are known to belong to this class of infinite-dime... Read More about Infinite-dimensional Lur'e systems with almost periodic forcing.

Semi-global incremental input-to-state stability of discrete-time Lur'e systems (2020)
Journal Article
Gilmore, M., Guiver, C., & Logemann, H. (2020). Semi-global incremental input-to-state stability of discrete-time Lur'e systems. Systems and Control Letters, 136, Article 104593. https://doi.org/10.1016/j.sysconle.2019.104593

We present sufficient conditions for semi-global incremental input-to-state stability of a class of forced discrete-time Lur'e systems. The results derived are reminiscent of well-known absolute stability criteria such as the small gain theorem and t... Read More about Semi-global incremental input-to-state stability of discrete-time Lur'e systems.

A circle criterion for strong integral input-to-state stability (2019)
Journal Article
Guiver, C., & Logemann, H. (2020). A circle criterion for strong integral input-to-state stability. Automatica, 111, Article 108641. https://doi.org/10.1016/j.automatica.2019.108641

We present sufficient conditions for integral input-to-state stability (iISS) and strong iISS of the zero equilibrium pair of continuous-time forced Lur'e systems, where by strong iISS we mean the conjunction of iISS and small-signal ISS. Our main re... Read More about A circle criterion for strong integral input-to-state stability.

Boundedness, persistence and stability for classes of forced difference equations arising in population ecology (2019)
Presentation / Conference Contribution
Guiver, C., Logemann, H., & Franco, D. (2019, June). Boundedness, persistence and stability for classes of forced difference equations arising in population ecology. Paper presented at The 25th International Conference on Difference Equations and Applications, UCL, London

Boundedness, persistence and stability for classes of forced difference equations arising in population ecology (2019)
Journal Article
Franco, D., Guiver, C., Logemann, H., & Perán, J. (2019). Boundedness, persistence and stability for classes of forced difference equations arising in population ecology. Journal of Mathematical Biology, 79, 1029-1076. https://doi.org/10.1007/s00285-019-01388-7

Boundedness, persistence and stability properties are considered for a class of nonlinear, possibly infinite-dimensional, forced difference equations which arise in a number of ecological and biological contexts. The inclusion of forcing incorporates... Read More about Boundedness, persistence and stability for classes of forced difference equations arising in population ecology.

Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems (2019)
Journal Article
Gilmore, M. E., Guiver, C., & Logemann, H. (2020). Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems. International Journal of Control, 93(12), 3026-3049. https://doi.org/10.1080/00207179.2019.1575528

Incremental stability and convergence properties for forced, infinite-dimensional, discrete-time Lur'e systems are addressed. Lur'e systems have a linear and nonlinear component and arise as the feedback interconnection of a linear control system and... Read More about Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems.

Infinite-dimensional Lur'e systems: input-to-state stability and convergence properties (2019)
Journal Article
Guiver, C., Logemann, H., & Opmeer, M. R. (2019). Infinite-dimensional Lur'e systems: input-to-state stability and convergence properties. SIAM Journal on Control and Optimization, 57(1), 334-365. https://doi.org/10.1137/17M1150426

We consider forced Lur'e systems in which the linear dynamic component is an infinite-dimensional well-posed system. Numerous physically motivated delay- and partial differential equations are known to belong to this class of infinite-dimensional sys... Read More about Infinite-dimensional Lur'e systems: input-to-state stability and convergence properties.

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.

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