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We study data-driven stabilization of continuous-time systems in autoregressive form when only noisy input-output data are available. First, we provide an operator-based characterization of the set of systems consistent with the data. Next,…

Optimization and Control · Mathematics 2026-02-04 Masashi Wakaiki

This paper introduces a notion of data informativity for stabilization tailored to continuous-time signals and systems. We establish results comparable to those known for discrete-time systems with sampled data. We justify that additional…

Optimization and Control · Mathematics 2024-06-14 Jaap Eising , Jorge Cortes

In this work, we study data-driven stabilization of linear time-invariant systems using prior knowledge of system-theoretic properties, specifically stabilizability and controllability. To formalize this, we extend the concept of data…

Optimization and Control · Mathematics 2025-10-31 Amir Shakouri , Henk J. van Waarde , Tren M. J. T. Baltussen , W. P. M. H. Heemels

We investigate the stabilization of unstable multidimensional partially observed single-sensor and multi-sensor linear systems driven by unbounded noise and controlled over discrete noiseless channels under fixed-rate information…

Optimization and Control · Mathematics 2012-09-21 Andrew P. Johnston , Serdar Yüksel

The goal of this paper is to provide a tutorial on the so-called informativity framework for direct data-driven analysis and control. This framework achieves certified data-based analysis and control by assessing system properties and…

Optimization and Control · Mathematics 2023-02-22 Henk J. van Waarde , Jaap Eising , M. Kanat Camlibel , Harry L. Trentelman

Assessing data informativity, determining whether the measured data contains sufficient information for a specific control objective, is a fundamental challenge in data-driven control. In noisy scenarios, existing studies deal with system…

Optimization and Control · Mathematics 2026-04-02 Taira Kaminaga , Hampei Sasahara

Modeling and control of dynamical systems rely on measured data, which contains information about the system. Finite data measurements typically lead to a set of system models that are unfalsified, i.e., that explain the data. The problem…

Optimization and Control · Mathematics 2022-02-21 Tom R. V. Steentjes , Mircea Lazar , Paul M. J. Van den Hof

This work studies data-driven switched controller design for discrete-time switched linear systems. Instead of having access to the full system dynamics, an initialization phase is performed, during which noiseless measurements of the state…

Optimization and Control · Mathematics 2022-09-13 Jaap Eising , Shenyu Liu , Sonia Martinez , Jorge Cortes

In this paper, we directly design a state feedback controller that stabilizes a class of uncertain nonlinear systems solely based on input-state data collected from a finite-length experiment. Necessary and sufficient conditions are derived…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Alessandro Luppi , Claudio De Persis , Pietro Tesi

This paper addresses the problem of stabilization for infinite-dimensional systems. In particular, we design nonlinear stabilizers for both linear and nonlinear abstract systems. We focus on two classes of systems: the first class comprises…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

This paper addresses data-driven control of continuous-time systems. We develop a framework based on synthesis operators associated with input and state trajectories. A key advantage of the proposed method is that it does not require the…

Optimization and Control · Mathematics 2025-11-27 Masashi Wakaiki

In this paper we develop new data informativity based controller synthesis methods that extend existing frameworks in two relevant directions: a more general noise characterization in terms of cross-covariance bounds and informativity…

Optimization and Control · Mathematics 2022-03-24 Tom R. V. Steentjes , Mircea Lazar , Paul M. J. Van den Hof

The use of persistently exciting data has recently been popularized in the context of data-driven analysis and control. Such data have been used to assess system theoretic properties and to construct control laws, without using a system…

Optimization and Control · Mathematics 2020-01-14 Henk J. van Waarde , Jaap Eising , Harry L. Trentelman , M. Kanat Camlibel

This paper proposes a procedure to control an uncertain discrete-time networked control system through a limited stabilizing input information. The system is primarily affected by the time-varying, norm bounded, mismatched parametric…

Optimization and Control · Mathematics 2015-12-23 Niladri Sekhar Tripathy , I. N. Kar , Kolin Paul

This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is subject to a constant delay while the open loop system might…

Optimization and Control · Mathematics 2020-12-29 Hugo Lhachemi , Christophe Prieur

This paper presents a novel framework for stabilizing nonlinear systems represented in state-dependent form. We first reformulate the nonlinear dynamics as a state-dependent parameter-varying model and synthesize a stabilizing controller…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lidong Li , Rui Huang , Lin Zhao

We study feedback stabilization of continuous-time linear systems under finite data-rate constraints in the presence of unknown disturbances. A communication and control strategy based on sampled and quantized state measurements is…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Mahmoud Zamani , Guosong Yang

Stabilization of non-stationary linear systems over noisy communication channels is considered. Stochastically stable sources, and unstable but noise-free or bounded-noise systems have been extensively studied in information theory and…

Information Theory · Computer Science 2012-05-07 Serdar Yüksel

Data informativity provides a theoretical foundation for determining whether collected data are sufficiently informative to achieve specific control objectives in data-driven control frameworks. In this study, we investigate the data…

Optimization and Control · Mathematics 2026-04-22 Taira Kaminaga , Hampei Sasahara

This paper investigates the fundamental information-theoretic limits for the control and sensing of noiseless linear dynamical systems subject to a broad class of nonlinear observations. We analyze the interactions between the control and…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Ming Li , Fan Liu , Yifeng Xiong , Jie Xu , Tao Liu
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