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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…

math.OC2026

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…

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

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.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.OC2024

Dynamic allocation function design in the presence of magnitude saturating inputs

Thiago Alves Lima, Sophie Tarbouriech

This chapter deals with the design of dynamic allocation functions for systems with saturating actuators. The goal of the allocator consists in redistributing the desired control e…