Outputs (10)

Determination of singular control in the optimal management of natural resources (2025)
Journal Article
Guiver, C., & Opmeer, M. R. (in press). Determination of singular control in the optimal management of natural resources. Applied Mathematics and Optimization, https://doi.org/10.1007/s00245-025-10257-3

A method is presented to simplify the determination of solutions of certain optimal control problems which commonly arise in natural resource management and bioeconomic contexts. The method, termed the resource-value balance method, essentially lever... Read More about Determination of singular control in the optimal management of natural resources.

Passivity theorems for input-to-state stability of forced Lur’e inclusions and equations, and consequent entrainment-type properties (2025)
Journal Article
Guiver, C. (2025). 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, 31, Article 22. 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.

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. (online). 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.

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.

The Pointillist principle for variation operators and jump functions (2024)
Journal Article
Hughes, K. (online). The Pointillist principle for variation operators and jump functions. Revista de la Unión Matemática Argentina, https://doi.org/10.33044/revuma.4124

I extend the pointillist principles of Moon and Carrillo-de Guzmán to variational operators and jump functions. 1. The pointillist principle In [11], Moon observed that, for a sequence of sufficiently smooth convolution operators and any q ≥ 1, the w... Read More about The Pointillist principle for variation operators and jump functions.

Persistency and stability of a class of nonlinear forced positive discrete-time systems with delays (2024)
Journal Article
Franco, D., Guiver, C., Logemann, H., & Perán, J. (2024). Persistency and stability of a class of nonlinear forced positive discrete-time systems with delays. Physica D: Nonlinear Phenomena, 467, Article 134260. https://doi.org/10.1016/j.physd.2024.134260

Persistence, excitability and stability properties are considered for a class of nonlinear, forced, positive discrete-time systems with delays. As will be illustrated, these equations arise in a number of biological and ecological contexts. Novel suf... Read More about Persistency and stability of a class of nonlinear forced positive discrete-time systems with delays.

Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability (2024)
Journal Article
Guiver, C., Logemann, H., & Opmeer, M. R. (2024). Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability. Mathematics of Control, Signals, and Systems, 36(4), 729-773. https://doi.org/10.1007/s00498-024-00387-4

We prove an operator-valued Laplace multiplier theorem for causal translation-invariant linear operators which provides a characterization of continuity from Hα(R, U) to Hβ(R, U) (fractional U-valued Sobolev spaces, U a complex Hilbert space) in term... Read More about Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability.

The energy-balance method for optimal control in renewable energy applications (2024)
Journal Article
Guiver, C., & Opmeer, M. R. (2024). The energy-balance method for optimal control in renewable energy applications. Renewable Energy Focus, 50, Article 100582. https://doi.org/10.1016/j.ref.2024.100582

A theoretical method is presented, called the energy-balance method, for maximising the energy extracted from a renewable energy converter in terms of determination of an optimal control. The method applies to control systems specified by linear grap... Read More about The energy-balance method for optimal control in renewable energy applications.