1 citations · 1 across the 3 of their papers we have counts for
4 papers
Initial Condition Independent Stabilisability of Switched Affine Systems
Christopher Townsend, Maria M. Seron
We have previously demonstrated that a switched affine system is stabilisable independently of the initial condition, i.e. there exists an asymptotically stabilising switching func…
Optimal Responses to Constrained Bolus Inputs to Models of T1D
Christopher Townsend, Maria M. Seron, Nicolas Magdelaine
We characterise the bolus insulin input which minimises the maximum plasma glucose concentration predicted by the Magdelaine and Bergman minimal models in response to any positive…
Optimality of Unconstrained Pulse Inputs to the Bergman Minimal Model
Christopher Townsend, Maria M. Seron
We characterise optimality of bolus insulin inputs, to the Bergman minimal model, by the predicted behaviour of the plasma glucose concentration for a given disturbance. The result…
Characterisation of Optimal Responses to Pulse Inputs in the Bergman Minimal Model
Christopher Townsend, Maria M. Seron, Graham C. Goodwin
The Bergman minimal model is a dynamic model of plasma glucose concentration. It has two input variables -- insulin delivery and carbohydrate intake. We investigate the behaviour o…