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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.OC2026
Fixed-Time and Arbitrarily Fast Exponential Stabilization of Discrete-Time Switched Linear Systems
Picchiotti Flavio, Thiago Alves Lima, Girard Antoine
In this paper we first study the fixed-time stabilizability of discrete-time switched linear control systems. Using a geometric approach, we derive conditions under which such syst…
math.OC2026
Pattern preservation in finite to infinite-horizon optimal control problems for dissipative systems
Matteo Della Rossa, Thiago Alves Lima, Lorenzo Freddi
This paper focuses on infinite-horizon optimal control problems for dissipative systems and the relations to their finite-horizon formulations. We show that, for a large class of p…