Optimal and robust methodologies for nonlinear control systems with applications to the control of renewable wave-energy converters

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 method for constrained energy-maximising control of heaving wave-energy converters via a nonlinear frequency response (2024)
Presentation / Conference Contribution
Guiver, C. (2024, August). A method for constrained energy-maximising control of heaving wave-energy converters via a nonlinear frequency response. Presented at The 8th IEEE Conference on Control Technology and Applications (CCTA) 2024, Newcastle Upon Tyne

A theoretical grounding is presented for justifying how frequency domain methods may be applied in the determination of constrained extracted-energy maximising controls in wave-energy conversion applications subject to nonlinear models. A computation... Read More about A method for constrained energy-maximising control of heaving wave-energy converters via a nonlinear frequency response.

Representations and Regularity of Vector-Valued Right-Shift Invariant Operators Between Half-Line Bessel Potential Spaces (2023)
Journal Article
Guiver, C., & Opmeer, M. R. (2023). Representations and Regularity of Vector-Valued Right-Shift Invariant Operators Between Half-Line Bessel Potential Spaces. Integral Equations and Operator Theory, 95(3), Article 19. https://doi.org/10.1007/s00020-023-02738-3

Representation and boundedness properties of linear, right-shift invariant operators on half-line Bessel potential spaces (also known as fractional-order Sobolev spaces) as operator-valued multiplication operators in terms of the Laplace transform ar... Read More about Representations and Regularity of Vector-Valued Right-Shift Invariant Operators Between Half-Line Bessel Potential Spaces.

The exponential input-to-state stability property: characterisations and feedback connections (2023)
Journal Article
Guiver, C., & Logemann, H. (2023). The exponential input-to-state stability property: characterisations and feedback connections. Mathematics of Control, Signals, and Systems, 35(2), 375-398. https://doi.org/10.1007/s00498-023-00344-7

The exponential input-to-state stability (ISS) property is considered for systems of controlled nonlinear ordinary differential equations. A characterisation of this property is provided, including in terms of a so-called exponential ISS Lyapunov fun... Read More about The exponential input-to-state stability property: characterisations and feedback connections.