boundary control

Monday, February 13, 2017 - 9:00am - 9:50am
Guillaume Bal (Columbia University)
Many inverse problems require that solutions of differential equations satisfy appropriate properties of linear independence, for instance the independence of several solution gradients in the vicinity of a given point. In imaging applications, such solutions are often controlled from the boundary. For elliptic problems, the most useful theoretical tool to verify that such properties hold is based on an application of a unique continuation principle (UCP). For (phase space) transport equations, the control problem is quite different.
Friday, March 18, 2016 - 11:00am - 11:30am
Alessandro Macchelli (Universita Di Bologna)
In this talk, a general methodology for the synthesis of asymptotic and exponentially stabilising boundary control laws for a large class of linear, distributed port-Hamiltonian systems defined on a one-dimensional spatial domain is illustrated. The starting point is the energy-Casimir method in which the controller is a passive dynamical system that is interconnected to the boundary of the distributed parameter one.
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