Outputs (4)

Incremental input-to-state stability for Lur’e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing (2021)
Journal Article
Gilmore, M., Guiver, C., & Logemann, H. (2021). Incremental input-to-state stability for Lur’e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing. Journal of Differential Equations, 300, 692-733. https://doi.org/10.1016/j.jde.2021.08.009

We prove (integral) input-to-state stability results for a class of forced Lur’e differential inclusions and use them to investigate incremental (integral) input-to-state stability properties of Lur’e differential equations. The latter provide a basi... Read More about Incremental input-to-state stability for Lur’e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing.

Persistence and stability for a class of forced positive nonlinear delay-differential systems (2021)
Journal Article
Franco, D., Guiver, C., & Logemann, H. (2021). Persistence and stability for a class of forced positive nonlinear delay-differential systems. Acta applicandae mathematicae, 174(1), Article 1 (2021). https://doi.org/10.1007/s10440-021-00414-5

Persistence and stability properties are considered for a class of forced positive non-linear delay-differential systems which arise in mathematical ecology and other applied contexts.The inclusion of forcing incorporates the effects of control actio... Read More about Persistence and stability for a class of forced positive nonlinear delay-differential systems.

A switching feedback control approach for persistence of managed resources (2021)
Journal Article
Franco, D., Guiver, C., Smith, P., & Townley, S. (2022). A switching feedback control approach for persistence of managed resources. Discrete and Continuous Dynamical Systems - Series B, 27(3), 1765-1787. https://doi.org/10.3934/dcdsb.2021109

An adaptive switching feedback control scheme is proposed for classes of discrete-time, positive difference equations, or systems of equations. In overview, the objective is to choose a control strategy which ensures persistence of the state, consequ... Read More about A switching feedback control approach for persistence of managed resources.

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.