Chris Guiver

chris guiver

Dr Chris Guiver

Lecturer in Mathematics

Date


35 results

Dynamic observers for unknown populations

Journal Article
Guiver, C., Poppelreiter, N., Rebarber, R., Tenhumberg, B., & Townley, S. (in press)
Dynamic observers for unknown populations. Discrete and Continuous Dynamical Systems - Series B, 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 m...

Infinite-dimensional Lur'e systems with almost periodic forcing

Journal Article
Gilmore, M. E., Guiver, C., & Logemann, H. (in press)
Infinite-dimensional Lur'e systems with almost periodic forcing. Mathematics of Control, Signals, and Systems, 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-differen...

Semi-global incremental input-to-state stability of discrete-time Lur'e systems

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, 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 ...

A circle criterion for strong integral input-to-state stability

Journal Article
Guiver, C., & Logemann, H. (2020)
A circle criterion for strong integral input-to-state stability. Automatica, 111, 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 st...

Boundedness, persistence and stability for classes of forced difference equations arising in population ecology

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 o...

Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems

Journal Article
Gilmore, M. E., Guiver, C., & Logemann, H. (in press)
Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems. International Journal of Control, 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 compone...

Infinite-dimensional Lur'e systems: input-to-state stability and convergence properties

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 different...

The generalised singular perturbation approximation for bounded real and positive real control systems

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 s...

Recent Findings on Strong Integral Input-To-State Stability for Forced Lur'e Systems

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-tim...

Small-gain stability theorems for positive Lur'e inclusions

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 feedb...