Seminar Details
2018-12-04 (14:00) : Two 20-minute talks
At Euler building (room A.002)
Organized by Mathematical Engineering
Speakers :
Guillaume Berger (UCLouvain)
,
and
Legat, Benoît
Abstract :
Speaker: Guillaume Berger
Title: Path-complete p-dominant switching linear systems
Abstract: In this presentation, we study the asymptotic properties of a class of dynamical systems called switched linear systems. Therefore, we introduce the notion of path-complete $p$-dominance for switched linear systems as a way to generalize the notion of dominant/slow modes for LTI systems. Path-dominance is characterized by the contraction property of a set of quadratic cones in the state space. We show that path-dominant systems have a low-dimensional asymptotic behavior, and hence allow for a simplified analysis of their dynamics. Finally, we present an algorithm for deciding the path-dominance of a given system.
Speaker: Benoît Legat
Title: Minimally Constrained Stable Switched Systems and Application to Co-simulation
Abstract: We propose an algorithm to restrict the switching signals of a constrained switched system in order to guarantee its stability, while at the same time attempting to keep the largest possible set of allowed switching signals.
Our work is motivated by co-simulation of complex dynamical systems by multiple cores. There, numerical stability is a hard constraint, but should be attained by restricting as few as possible the allowed behaviours of the simulators.
We apply our results to certify the stability of an adaptive co-simulation orchestration algorithm, which selects the optimal switching signal at run-time, as a function of (varying) performance and accuracy requirements.