Whereas indirect euthanasia is a common clinical practice, active euthanasia remains forbidden in most countries. The reason for this differentiation is usually seen in the principle of double-effect (PDE). PDE states that there is a morally relevant difference between the intended consequences of an action and merely foreseen, unintended side-effects. This article discloses the fundamental ass...

Lecturer: Marin Kobilarov Consider the general setting where we are minimizing J = φ(x(t f), t f) + t f t 0 L(x(t), u(t), t)dt, (1) subject to: x(t 0) = x 0 , x(t f) and t f free (2) ˙ x(t) = f (x(t), u(t), t) (3) c(x(t), u(t), t) ≤ 0, for all t ∈ [t 0 , t f ] (4) ψ(x(t f), t f) ≤ 0, (5) We will consider three families of numerical methods for solving the optimal control problem: • dynamic prog...

This paper provides an experimentally validated optimal control approach based on a Hamilton–Jacobi–Bellman (HJB) model for optimising aggregated distributed energy resources across multiple carriers. The research incorporates nonlinear effects arising from storage degradation, conversion efficiency and self-discharge as well carrier storage. A semi-Lagrangian HJB solver was implemented low-cos...

Using the theory of the symmetry groups for PDEs of order two ([7], [17], [20]), one finds the symmetry group G associated to Ţiţeica surfaces PDE. One proves that Monge-Ampère-Ţiţeica PDE which is invariant with respect to G, where G is the maximal solvable subgroup of the symmetry group G, is just the PDE of Ţiţeica surfaces. One studies the inverse problem and one shows that the Ţiţeica surf...

The M-mode echocardiographic findings of ventricular septal defect (VSD) are nonspecific. A specific pulsed Doppler echocardiographic (PDE) diagnosis of VSD can be made by following the turbulent VSD jet through the septum. To assess the sensitivity, specificity and limitations of PDE diagnosis of VSD, 105 children undergoing cardiac catheterization were examined by PDE. These children had a va...

In this letter, we design a robust stabilizing controller for system composed of two sets linear heterodirectional hyperbolic PDEs, with actuation at one boundary the and couplings middle ODEs in PDE-ODE-PDE configuration. The is underactuated since only PDE systems actuated. approach employs backstepping transformation to move undesired proximal (where located). We can then express target as t...