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Dynamic properties of a class of forced positive higher-order scalar difference equations: persistency, stability and convergence (2025)
Journal Article
Franco, D., Guiver, C., Logemann, H., & Perán, J. (in press). Dynamic properties of a class of forced positive higher-order scalar difference equations: persistency, stability and convergence. Journal of Difference Equations and Applications, https://doi.org/10.1080/10236198.2025.2461530

Persistency, stability and convergence properties are considered for a class of nonlinear, forced, positive, scalar higher-order difference equations. Sufficient conditions for these properties to hold are derived, broadly in terms of the interplay o... Read More about Dynamic properties of a class of forced positive higher-order scalar difference equations: persistency, stability and convergence.

Passivity theorems for input-to-state stability of forced Lur'e inclusions and equations, and consequent entrainment-type properties (2025)
Journal Article
Guiver, C. (online). Passivity theorems for input-to-state stability of forced Lur'e inclusions and equations, and consequent entrainment-type properties. ESAIM: Control, Optimisation and Calculus of Variations, https://doi.org/10.1051/cocv/2025013

A suite of input-to-state stability results are presented for a class of forced differential inclusions, so-called Lur’e inclusions. As a consequence, semi-global incremental input-to-state stability results for systems of forced Lur’e differential e... Read More about Passivity theorems for input-to-state stability of forced Lur'e inclusions and equations, and consequent entrainment-type properties.

A mixed passivity/small-gain theorem for Sobolev input-output stability (2024)
Journal Article
Guiver, C., Logemann, H., & Opmeer, M. R. (2024). A mixed passivity/small-gain theorem for Sobolev input-output stability. SIAM Journal on Control and Optimization, 62(6), 3042-3075. https://doi.org/10.1137/24M1643128

A stability theorem for the feedback connection of two (possibly infinite-dimensional) time-invariant linear systems is presented. The theorem is formulated in the frequency domain and is in the spirit of combined passivity/small-gain results. It pla... Read More about A mixed passivity/small-gain theorem for Sobolev input-output stability.

Quantifying the impact of environmental changes on migratory species: a model perturbation framework (2024)
Journal Article
Smith, P., Adams, B., & Guiver, C. (2024). Quantifying the impact of environmental changes on migratory species: a model perturbation framework. Frontiers in Ecology and Evolution, 12, Article 1426018. https://doi.org/10.3389/fevo.2024.1426018

Migratory species use different habitats and pathways across their migratory route. Pathway contribution metrics are transient metrics of population growth, derived from population models, and quantify the predicted contribution of an individual, tra... Read More about Quantifying the impact of environmental changes on migratory species: a model perturbation framework.

A linear dissipativity approach to incremental input-to-state stability for a class of positive Lur’e systems (2024)
Journal Article
Piengeon, V., & Guiver, C. (online). A linear dissipativity approach to incremental input-to-state stability for a class of positive Lur’e systems. International Journal of Control, https://doi.org/10.1080/00207179.2024.2403473

Incremental stability properties are considered for certain systems of forced, nonlinear differential equations with a particular positivity structure. An incremental stability estimate is derived for pairs of input/state/output trajectories of the L... Read More about A linear dissipativity approach to incremental input-to-state stability for a class of positive Lur’e systems.