4 papers
On the stabilization of persistently excited linear systems
Yacine Chitour, Mario Sigalotti
We consider control systems of the type , where , is a controllable pair and is an unknown time-varying signal with values in sati…
The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent
Yannick Privat, Mario Sigalotti
The paper deals with the genericity of domain-dependent spectral properties of the Laplacian-Dirichlet operator. In particular we prove that, generically, the squares of the eigenf…
Controllability properties of a class of systems modeling swimming microscopic organisms
Mario Sigalotti, Jean-Claude Vivalda
We consider a finite-dimensional model for the motion of microscopic organisms whose propulsion exploits the action of a layer of cilia covering its surface. The model couples Newt…
A Gauss-Bonnet-like Formula on Two-Dimensional Almost-Riemannian Manifolds
Andrei A. Agrachev, Ugo Boscain, Mario Sigalotti
We consider a generalization of Riemannian geometry that naturally arises in the framework of control theory. Let and be two smooth vector fields on a two-dimensional manif…