Simultaneous exact controllability for Maxwell equations and for a second-order hyperbolic system

Abstract

We present a result on "simultaneous" exact controllability for two models that describe two hyperbolic dynamics. One is the system of Maxwell equations and the other a vector-wave equation with a pressure term. We obtain the main result using modified multipliers in order to generate a necessary observability estimate which allow us to use the Hilbert Uniqueness Method (HUM) introduced by Lions.

Keywords

• Distributed systems
• simultaneous exact controllability
• boundary observability