Null controllability of nonlinear neutral differential equations

On the controllability of nonlinear partial differential equations

A control system is a dynamical system on which one can act by using controls. A classical issue is the controllability problem: Is it possible to reach a desired target from a given starting point by using appropriate controls? We survey some methods to handle this problem when the control system is modeled by means of a nonlinear partial differential equation and when the nonlinearity plays a...

Null Controllability of a Nonlinear Heat Equation

Null controllability of Kolmogorov-type equations

We study the null controllability of Kolmogorov-type equations ∂t f + v ∂x f − ∂2 v f = u(t, x, v)1ω(x, v) in a rectangle , under an additive control supported in an open subset ω of . For γ = 1, with periodic-type boundary conditions, we prove that null controllability holds in any positive time, with any control support ω. This improves the previous result by Beauchard and Zuazua (Ann Ins H P...

On the null-controllability of diffusion equations

Null–controllability of One–dimensional Parabolic Equations

We prove the interior null–controllability of one–dimensional parabolic equations with time independent measurable coefficients.