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math.OC2026
Feedback Stabilization of Switched Systems: Memory is not needed
Thiago Alves Lima, Matteo Della Rossa, Antoine Girard
A long-standing assumption in the literature on switched linear systems is that static, homogeneous of degree one feedbacks form the most general class of controllers necessary and…
math.OC2025
Exploiting Over-Approximation Errors as Preview Information for Nonlinear Control
Antoine Aspeel, Antoine Girard, Thiago Alves Lima
We study the control of nonlinear constrained systems via over-approximations. Our key observation is that the over-approximation error, rather than being an unknown disturbance, c…
math.OC2025
Feedback stabilization of switched systems under arbitrary switching: A convex characterization
Thiago Alves Lima, Matteo Della Rossa, Antoine Girard
In this paper, we study stabilizability of discrete-time switched linear systems where the switching signal is considered as an arbitrary external input (and not a control variable…