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Sampled-data integral control of multivariable linear infinite-dimensional systems with input nonlinearities (2021)
Journal Article
Gilmore, M. E., Guiver, C., & Logemann, H. (2022). Sampled-data integral control of multivariable linear infinite-dimensional systems with input nonlinearities. Mathematical Control and Related Fields, 12(1), 17-47. https://doi.org/10.3934/mcrf.2021001

A low-gain integral controller with anti-windup component is presented for exponentially stable, linear, discrete-time, infinite-dimensional control systems subject to input nonlinearities and external disturbances. We derive a disturbance-to-state... Read More about Sampled-data integral control of multivariable linear infinite-dimensional systems with input nonlinearities.

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)
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.