Séminaire Antoine Oustry: Polynomial optimization for parameterizing dynamical systems
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October 13, 2022
Polynomial optimization for parameterizing dynamical systems
Abstract: We consider a polynomial dynamical system that depends on some tunable parameters. We raise the question of how to configure this system optimally, in terms of costs and stability.
More precisely, we will give an overview of polynomial optimization approaches to
(a) find a (stable) equilibrium point of the dynamical system that minimizes a polynomial function
(b) approximate regions of stability around the equilibrium points.
We illustrate our work with some applications in power engineering.
