Complexity in control-affine systems

Frédéric Jean (1, 2) , Dario Prandi (3, 4)

1 GECO - Geometric Control Design
2 OC - Optimisation et commande
3 SISSA / ISAS - Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies
4 LSIS - Laboratoire des Sciences de l'Information et des Systèmes

We will consider affine-control systems, i.e., systems in the form _ q(t) = f0(q(t)) + Xm i=1 ui (t)fi (q(t)) Here, the point q belongs to a smooth manifold M the fi 's are smooth vector fields on M u 2 L1([0;T];Rm) This type of system appears in many applications Mechanical systems Quantum control Microswimmers (Tucsnak, Alouges) Neuro-geometry of vision (Mumfor, Petitot)

Domaines: Optimisation et contrôle [math.OC]

Frédéric Jean, Dario Prandi. Complexity in control-affine systems. NETCO 2014, 2014, Tours, France. ⟨hal-01024628⟩