Search Results for author: Sophie Tarbouriech

Found 9 papers, 1 papers with code

Decentralized PI-control and Anti-windup in Resource Sharing Networks

no code implementations1 Nov 2023 Felix Agner, Jonas Hansson, Pauline Kergus, Anders Rantzer, Sophie Tarbouriech, Luca Zaccarian

We consider control of multiple stable first-order systems which have a control coupling described by an M-matrix.

Local Lipschitz Constant Computation of ReLU-FNNs: Upper Bound Computation with Exactness Verification

no code implementations17 Oct 2023 Yoshio Ebihara, Xin Dai, Victor Magron, Dimitri Peaucelle, Sophie Tarbouriech

By following a standard procedure using multipliers that capture the behavior of ReLUs, we first reduce the upper bound computation problem of the local Lipschitz constant into a semidefinite programming problem (SDP).

Anti-windup coordination strategy around a fair equilibrium in resource sharing networks

no code implementations3 Apr 2023 Felix Agner, Pauline Kergus, Anders Rantzer, Sophie Tarbouriech, Luca Zaccarian

This paper aims at coordinating interconnected agents where the control input of each agent is limited by the control input of others.

Equivalent Conditions for the Synchronization of Identical Linear Systems over Arbitrary Interconnections

no code implementations30 Mar 2023 Nicola Zaupa, Giulia Giordano, Isabelle Queinnec, Sophie Tarbouriech, Luca Zaccarian

We propose necessary and sufficient conditions for the synchronization of $N$ identical single-input-single-output (SISO) systems, connected through a directed graph.

Robust data-driven control design for linear systems subject to input saturations

no code implementations8 Mar 2023 Alexandre Seuret, Sophie Tarbouriech

This paper deals with the problem of providing a data-driven solution to the local stabilization of linear systems subject to input saturation.

Control Design under Actuator Saturation and Multi-Rate Sampling

no code implementations19 Oct 2022 Francesco Ferrante, Ricardo G. Sanfelice, Sophie Tarbouriech

The problem of designing a stabilizing feedback controller in the presence of saturating actuators and multi-rate (asynchronous) aperiodic state measurements is studied.

Sampled-data control design for systems with quantized actuators

no code implementations11 Aug 2022 Francesco Ferrante, Sophie Tarbouriech

This paper deals with the problem of designing a sampled-data state feedback control law for continuous-time linear control systems subject to uniform input quantization.

Quantization

Stability Analysis of Recurrent Neural Networks by IQC with Copositive Mutipliers

no code implementations9 Feb 2022 Yoshio Ebihara, Hayato Waki, Victor Magron, Ngoc Hoang Anh Mai, Dimitri Peaucelle, Sophie Tarbouriech

To get around this difficulty, we loosen the standard positive semidefinite cone to the copositive cone, and employ copositive multipliers to capture the nonnegativity properties.

Lyapunov Stability Analysis of a Mass-Spring system subject to Friction

1 code implementation8 Mar 2021 Matthieu Barreau, Sophie Tarbouriech, Frederic Gouaisbaut

The proposed approach merges two intermediate results: The first one relies on the characterization of an attractor around the origin, to which converges the closed-loop trajectories.

Optimization and Control

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