15 citations · 18 across the 7 of their papers we have counts for
9 papers
Smart abstraction based on iterative cover and non-uniform cells
Julien Calbert, Lucas N. Egidio, Raphaël M. Jungers
We propose a multi-scale approach for computing abstractions of dynamical systems, that incorporates both local and global optimal control to construct a goal-specific abstraction.…
Context-triggered Abstraction-based Control Design
Satya Prakash Nayak, Lucas Neves Egidio, Matteo Della Rossa +2
We consider the problem of automatically synthesizing a hybrid controller for non-linear dynamical systems which ensures that the closed-loop fulfills an arbitrary \emph{Linear Tem…
An Efficient Method to Verify the Inclusion of Ellipsoids
Julien Calbert, Lucas N. Egidio, Raphaël M. Jungers
We present a novel method for deciding whether a given n-dimensional ellipsoid contains another one (possibly with a different center). This method consists in constructing a parti…
Stabilization of rank-deficient continuous-time switched affine systems
Lucas N. Egidio, Grace S. Deaecto, Raphaël M. Jungers
This paper treats the global stabilization problem of continuous-time switched affine systems that have rank-deficient convex combinations of their dynamic matrices. For these syst…
State-feedback Abstractions for Optimal Control of Piecewise-affine Systems
Lucas N. Egidio, Thiago Alves Lima, Raphaël M. Jungers
In this manuscript, we investigate symbolic abstractions that capture the behavior of piecewise-affine systems under input constraints and bounded external noise. This is accomplis…
Stability of Switched Affine Systems: Arbitrary and Dwell-Time Switching
Matteo Della Rossa, Lucas N. Egidio, Raphaël M. Jungers
The dynamical behavior of switched affine systems is known to be more intricate than that of the well-studied switched linear systems, essentially due to the existence of distinct…
Data-driven stability analysis of switched affine systems
Matteo Della Rossa, Zheming Wang, Lucas N. Egidio +1
We consider discrete-time switching systems composed of a finite family of affine sub-dynamics. First, we recall existing results and present further analysis on the stability prob…
On the Search for Equilibrium Points of Switched Affine Systems
Lucas N. Egidio, Anders Hansson
One of the main aspects of switched affine systems that makes their stabilizability study intricate is the existence of (generally) infinitely many equilibrium points in the state…
Learning the Step-size Policy for the Limited-Memory Broyden-Fletcher-Goldfarb-Shanno Algorithm
Lucas N. Egidio, Anders Hansson, Bo Wahlberg
We consider the problem of how to learn a step-size policy for the Limited-Memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) algorithm. This is a limited computational memory quasi-…