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The regime-conversion method: a hybrid technique for simulating well-mixed chemical reaction networks (2023)
Journal Article
Kynaston, J. C., Yates, C. A., Hekkink, A. V. F., & Guiver, C. (2023). The regime-conversion method: a hybrid technique for simulating well-mixed chemical reaction networks. Frontiers in Applied Mathematics and Statistics, 9, Article 1107441. https://doi.org/10.3389/fams.2023.1107441

There exist several methods for simulating biological and physical systems as represented by chemical reaction networks. Systems with low numbers of particles are frequently modeled as discrete-state Markov jump processes and are typically simulated... Read More about The regime-conversion method: a hybrid technique for simulating well-mixed chemical reaction networks.

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.

Stability of Forced Higher-Order Continuous-Time Lur'e Systems: a Behavioural Input-Output Perspective (2023)
Journal Article
Guiver, C., & Logemann, H. (in press). Stability of Forced Higher-Order Continuous-Time Lur'e Systems: a Behavioural Input-Output Perspective. International Journal of Control, https://doi.org/10.1080/00207179.2023.2233023

We consider a class of forced continuous-time Lur'e systems obtained by applying nonlinear feedback to a higher-order linear differential equation which defines an input-output system in the sense of behavioural systems theory. This linear system dir... Read More about Stability of Forced Higher-Order Continuous-Time Lur'e Systems: a Behavioural Input-Output Perspective.

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.