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Understanding how complex systems respond to perturbations, such as whether they will remain stable or what their most sensitive patterns are, is a fundamental challenge across science and engineering. Traditional stability and receptivity…

Fluid Dynamics · Physics 2026-04-28 Chengyun Wang , Liwei Chen , Nils Thuerey

In this study, we adopt age of information as a measure of the staleness of information, and take initial steps towards analyzing the control performance of stochastic systems with stale information. Our goals are to cast light on a…

Information Theory · Computer Science 2018-10-26 Touraj Soleymani , John S. Baras , Karl H. Johansson

Data-driven control is a powerful tool that enables the design and implementation of control strategies directly from data without explicitly identifying the underlying system dynamics. While various data-driven control techniques, such as…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Ziqin He , Yidan Mei , Shenghan Mei , Xin Mao , Anqi Dong , Ren Wang , Can Chen

Identification of the parameters of stable linear dynamical systems is a well-studied problem in the literature, both in the low and high-dimensional settings. However, there are hardly any results for the unstable case, especially…

Systems and Control · Computer Science 2018-06-06 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

In this paper, the classical algebraic regulator problem is studied in a data-driven context. The endosystem is assumed to be an unknown system that is interconnected to a known exosystem that generates disturbances and reference signals.…

Optimization and Control · Mathematics 2021-12-09 Harry L. Trentelman , Henk J. van Waarde , M. Kanat Camlibel

We study the transport properties of nonautonomous chaotic dynamical systems over a finite time duration. We are particularly interested in those regions that remain coherent and relatively non-dispersive over finite periods of time,…

Dynamical Systems · Mathematics 2015-05-19 Gary Froyland , Naratip Santitissadeekorn , Adam Monahan

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Kaijian Hu , Tao Liu

The dynamical-algebraic structure underlying all the schemes for quantum information stabilization is argued to be fully contained in the reducibility of the operator algebra describing the interaction with the environment of the coding…

Quantum Physics · Physics 2009-10-31 Paolo Zanardi

Stability is a basic requirement when studying the behavior of dynamical systems. However, stabilizing dynamical systems via reinforcement learning is challenging because only little data can be collected over short time horizons before…

Optimization and Control · Mathematics 2024-11-01 Steffen W. R. Werner , Benjamin Peherstorfer

We present data-based conditions for enforcing contractivity via feedback control and obtain desired asymptotic properties of the closed-loop system. We focus on unknown nonlinear control systems whose vector fields are expressible via a…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Zhongjie Hu , Claudio De Persis , Pietro Tesi

Robust stability and stochastic stability have separately seen intense study in control theory for many decades. In this work we establish relations between these properties for discrete-time systems and employ them for robust control…

Dynamical Systems · Mathematics 2020-04-20 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

Stochastic reduced-order models are widely used to represent the effective dynamics of complex systems, but estimating their drift and diffusion coefficients from data remains challenging. Standard approaches often rely on short-time…

Machine Learning · Statistics 2026-04-28 Ludovico T. Giorgini

We consider the problem of data-driven predictive control for an unknown discrete-time linear time-periodic (LTP) system of known period. Our proposed strategy generalizes both Data-enabled Predictive Control (DeePC) and Subspace Predictive…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Ruiqi Li , John W. Simpson-Porco , Stephen L. Smith

In this paper, we introduce a data-driven framework for synthesis of provably-correct controllers for general nonlinear switched systems under complex specifications. The focus is on systems with unknown disturbances whose effects on the…

Systems and Control · Electrical Eng. & Systems 2024-06-17 Ibon Gracia , Dimitris Boskos , Luca Laurenti , Morteza Lahijanian

Data-driven computing in applied mechanics utilizes the material data set directly, and hence is free from errors and uncertainties stemming from the conventional material modeling. This paper presents a data-driven approach that is robust…

Numerical Analysis · Mathematics 2019-01-25 Yoshihiro Kanno

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

Systems and Control · Electrical Eng. & Systems 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

Stochastic dynamical systems are ubiquitous in physics, biology, and engineering, where both deterministic drifts and random fluctuations govern system behavior. Learning these dynamics from data is particularly challenging in…

Numerical Analysis · Mathematics 2026-03-10 Ziheng Guo , Igor Cialenco , Ming Zhong

The paper introduces a Data-driven Hierarchical Control (DHC) structure to improve performance of systems operating under the effect of system and/or environment uncertainty. The proposed hierarchical approach consists of two parts: 1) A…

Systems and Control · Electrical Eng. & Systems 2020-09-15 Lu Shi , Hanzhe Teng , Xinyue Kan , Konstantinos Karydis

Reliability analysis aims at estimating the failure probability of an engineering system. It often requires multiple runs of a limit-state function, which usually relies on computationally intensive simulations. Traditionally, these…

Computation · Statistics 2024-01-22 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

Motivated by recent security issues in cyber-physical systems, this technical note studies the stabilization problem of networked control systems under Denial-of-Service (DoS) attacks. In particular, we consider to stabilize a nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-12-14 Rui Kato , Ahmet Cetinkaya , Hideaki Ishii
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