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20132025
most citedData-driven control via Petersen's lemma

157 citations · 551 across the 47 of their papers we have counts for

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8 papers · 1 filter

math.OC2022

Data-driven stabilizer design and closed-loop analysis of general nonlinear systems via Taylor's expansion

Meichen Guo, Claudio De Persis, Pietro Tesi

For data-driven control of nonlinear systems, the basis functions characterizing the dynamics are usually essential. In existing works, the basis functions are often carefully chos…

math.OC2021★ 12 cited

On the Certainty-Equivalence Approach to Direct Data-Driven LQR Design

Florian Dörfler, Pietro Tesi, Claudio De Persis

The linear quadratic regulator (LQR) problem is a cornerstone of automatic control, and it has been widely studied in the data-driven setting. The various data-driven approaches ca…

math.OC2020★ 16 cited

Data-driven stabilization of nonlinear polynomial systems with noisy data

Meichen Guo, Claudio De Persis, Pietro Tesi

In a recent paper we have shown how to learn controllers for unknown linear systems using finite-sized noisy data by solving linear matrix inequalities. In this note we extend this…

math.OC2020

Willems' Fundamental Lemma for State-space Systems and its Extension to Multiple Datasets

Henk J. van Waarde, Claudio De Persis, M. Kanat Camlibel +1

Willems et al.'s fundamental lemma asserts that all trajectories of a linear system can be obtained from a single given one, assuming that a persistency of excitation condition hol…

math.OC2018

Necessary and Sufficient Topological Conditions for Identifiability of Dynamical Networks

Henk J. van Waarde, Pietro Tesi, M. Kanat Camlibel

This paper deals with dynamical networks for which the relations between node signals are described by proper transfer functions and external signals can influence each of the node…

math.OC2018

Topological Conditions for Identifiability of Dynamical Networks with Partial Node Measurements

Henk J. van Waarde, Pietro Tesi, M. Kanat Camlibel

This paper deals with dynamical networks for which the relations between node signals are described by proper transfer functions and external signals can influence each of the node…

math.OC2018

Identifiability of Undirected Dynamical Networks: a Graph-Theoretic Approach

Henk J. van Waarde, Pietro Tesi, M. Kanat Camlibel

This paper deals with identifiability of undirected dynamical networks with single-integrator node dynamics. We assume that the graph structure of such networks is known, and aim t…

math.OC2016

Quasi-Optimal Regulation of FlowNetworks with Input Constraints

Tjardo Scholten, Claudio De Persis, Pietro Tesi

In this work we consider a flow network for which the goal is to solve a practical optimal regulation problem in the presence of input saturation. Based on Lyapunov arguments we pr…