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20022009
most citedA microscopic probabilistic description of a locally regulated population and macroscopic approximations

285 citations

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7 papers · 1 filter

math.OC20092 cited

Simultaneous approximate tracking of density matrices for a system of Schroedinger equations

Thomas Chambrion

We consider a non-resonant system of finitely many bilinear Schroedinger equations with discrete spectrum driven by the same scalar control. We prove that this system can approxima…

math.OC20091 cited

Control systems of zero curvature are not necessarily trivializable

Ulysse Serres

A control system is said to be trivializable if there exists local coordinates in which the system is feedback equivalent to a control system of the form $\dot{q…

math.OC2008

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…

math.OC2008

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…

math.OC2007

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…

math.OC20072 cited

Constraint Algorithm for Extremals in Optimal Control Problems

Maria Barbero-Liñan, Miguel C. Muñoz-Lecanda

A geometric method is described to characterize the different kinds of extremals in optimal control theory. This comes from the use of a presymplectic constraint algorithm starting…