A seminar will be given by Professor A. J. van der Schaft of the University of Groningen, visiting professor at LAGEP on Thursday 19 October 2017 at 14:00 in room G111.

The title and summary of this seminar are:

**Title**: Stabilization of optimal supply-demand values for power networks

**Abstract**: Key constraint in the control of power networks is supply-demand matching, where the total consumed power is equal to the total generated power. Optimization of the so-called social welfare function under the constraint of supply-demand matching leads to an optimal set-point for the operation of the power network. Continuous-time implementation of the primal-dual gradient algorithm converging to this optimal set-point defines a distributed dynamical controller for the physical power network. It will be shown that the optimal set-point is an asymptotically stable equilibrium of the resulting closed-loop system. Main idea in the proof is the port-Hamiltonian modeling of the physical network, as well as of the primal-dual gradient controller, leading to an insightful Lyapunov function.