In the inaugural lecture delivered at Warwick on the 7th of October 1970, Lawrence Markus
has briefly defined the objectives of the mathematical control theory as:“... the modification of …

In this work, we tackle the problem of minimising the Conditional-Value-at-Risk (CVaR) of
output quantities of complex differential models with random input data, using gradient …

The null controllability of the heat equation is known for decades [19, 23, 30]. The finite time
stabilizability of the one dimensional heat equation was proved by Coron--Nguy\^ en [13] …

Stabilization to a trajectory for the monodomain equations, a coupled nonlinear PDE-ODE
system, is investigated. The results rely on stabilization of linear first-order in time …

We investigate smooth and sparse optimal control problems for convective FitzHugh–
Nagumo equation with traveling wave solutions in moving excitable media. The cost function …

For a boundary controlled dynamic system, algorithms for solving the problem of tracking
reference motion and the problem of tracking reference control are described. The …

In the present paper we derive the existence and uniqueness of a solution for the optimal
control problem determined by a stochastic FitzHugh-Nagumo equation with recovery …

Many recent works on the stabilization of nonlinear systems target the case of locally
stabilizing an unstable steady‐state solution against small perturbations. In this work, we …

An oblique projections based feedback stabilizability result in the literature is extended to a
larger class of reaction-convection terms. A discussion is presented including a comparison …

The problem of finite-dimensional compensator design for the monodomain equations with
the FitzHugh− Nagumo model is investigated. Exponential stabilizability and detectability of …