Outputs (4)

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.