All Outputs (3)

The energy-balance method for optimal control in renewable energy applications (2024)
Journal Article
Guiver, C., & Opmeer, M. R. (online). The energy-balance method for optimal control in renewable energy applications. Renewable Energy Focus, 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.

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. (online). Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability. Mathematics of Control, Signals, and Systems, https://doi.org

We prove an operator-valued Laplace multiplier theorem for causal translation-invariant linear operators which provides a characterization of continuity from~$H^\alpha(\mR,U)$ to~$H^\beta(\mR,U)$ (fractional~$U$-valued Sobolev spaces, $U$ a complex H... Read More about Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability.

Exponential input-to-state stability for Lur’e systems via Integral Quadratic Constraints and Zames-Falb Multipliers (2024)
Journal Article
Drummond, R., Guiver, C., & Turner, M. (2024). Exponential input-to-state stability for Lur’e systems via Integral Quadratic Constraints and Zames-Falb Multipliers. IMA Journal of Mathematical Control and Information, 41(1), 1-17. https://doi.org/10.109

Absolute stability criteria which are sufficient for global exponential stability are shown, under a Lipschitz assumption, to be sufficient for the a priori stronger exponential input-to-state stability property. Important corollaries of this result... Read More about Exponential input-to-state stability for Lur’e systems via Integral Quadratic Constraints and Zames-Falb Multipliers.