Seminar (DeustoCCM)

There is a long story of the role nonlinearity plays in optics and photonics. From the early experiments in second harmonic generation to the demonstration of optical solutions in fiber optics, the field continues to evolve in several directions...

In this seminar, we present some results for the insensitizing control problem in the discrete setting of finite-differences. We prove the existence of a control that insensitizes the norm of the observed solution of a 1-D heat equation...

Optimal control is a fundamental problem in control theory, but, is still an obstacle in nonlinear control since one has to deal with so-called Hamilton-Jacobi equation (HJE)...

Many biochemical reactions involve a stream of chemical reactants flowing through a fluid-filled volume, over a surface to which receptors are confined...

The seminar will be devoted to the so called "Turnpike Property" in Optimal Control Theory, i.e. we will show the convergence of Non-Stationary Optimal Control Problems to the corresponding Stationary one as the time horizon T tends to infinity...

Can the heat dynamics be controlled under a positivity constraint on the state, requiring that the state remains non-negative all along the time dependent trajectory?...