Time optimal controls for infinite dimensional systems

January 24, at 12:00 p.m. (Rio de Janeiro local time)

Local: room C116 - Bloco C - CT – Instituto de Matemática – UFRJ. There will be no transmission online.

Speaker: Sorin Micu - (Universidade de Craiova)

Abstract: We consider the time optimal control problem, with a point target, for an infinite dimensional system described by the Kirchhoff plate equation with distributed control. We prove that  time optimal controls  have a bang-bang property and, consequently, that they are unique. The main ingredients used to achieve this goal is a new approximate observability property  from measurable sets for the system described by the Kirchhoff equation and an abstract result for systems with skew-adjoint generator.