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This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despite the centrality of this problem, most of the available…

最优化与控制 · 数学 2021-08-31 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

This paper studies the informativity problem for reachability and null-controllability of constrained systems. To be precise, we will focus on an unknown linear systems with convex conic constraints from which we measure data consisting of…

最优化与控制 · 数学 2021-05-03 Jaap Eising , M. Kanat Camlibel

A fundamental issue in nonlinear dynamics and statistical physics is how to distinguish chaotic from stochastic fluctuations in short experimental recordings. This dilemma underlies many complex systems models from stochastic gene…

混沌动力学 · 物理学 2010-04-12 Chi-Sang Poon , Cheng Li , Guo-Qiang Wu

We study the problem of system identification for stochastic continuous-time dynamics, based on a single finite-length state trajectory. We present a method for estimating the possibly unstable open-loop matrix by employing properly…

机器学习 · 统计学 2025-09-30 Reza Sadeghi Hafshejani , Mohamad Kazem Shirani Fradonbeh

The existence of the {\em typical set} is key for data compression strategies and for the emergence of robust statistical observables in macroscopic physical systems. Standard approaches derive its existence from a restricted set of…

统计力学 · 物理学 2022-02-10 Rudolf Hanel , Bernat Corominas-Murtra

The dynamics of biological systems, from proteins to cells to organisms, is complex and stochastic. To decipher their physical laws, we need to bridge between experimental observations and theoretical modeling. Thanks to progress in…

软凝聚态物质 · 物理学 2024-06-05 Pierre Ronceray

Automated synthesis of correct-by-construction controllers for autonomous systems is crucial for their deployment in safety-critical scenarios. Such autonomous systems are naturally modeled as stochastic dynamical models. The general…

系统与控制 · 电气工程与系统科学 2023-11-17 Thom Badings , Nils Jansen , Licio Romao , Alessandro Abate

Data-driven and adaptive control approaches face the problem of introducing sudden distributional shifts beyond the distribution of data encountered during learning. Therefore, they are prone to invalidating the very assumptions used in…

系统与控制 · 电气工程与系统科学 2025-08-25 Mohammad Ramadan , Evan Toler , Mihai Anitescu

We study online control of an unknown nonlinear dynamical system that is approximated by a time-invariant linear system with model misspecification. Our study focuses on robustness, a measure of how much deviation from the assumed linear…

最优化与控制 · 数学 2022-04-06 Xinyi Chen , Udaya Ghai , Elad Hazan , Alexandre Megretski

Much is now known about the consistency of Bayesian updating on infinite-dimensional parameter spaces with independent or Markovian data. Necessary conditions for consistency include the prior putting enough weight on the correct…

统计理论 · 数学 2022-03-18 Cosma Rohilla Shalizi

In this paper, we present an approach for designing correct-by-design controllers for cyber-physical systems composed of multiple dynamically interconnected uncertain systems. We consider networked discrete-time uncertain nonlinear systems…

系统与控制 · 电气工程与系统科学 2023-09-06 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

Understanding the dynamics of complex systems is a central task in many different areas ranging from biology via epidemics to economics and engineering. Unexpected behaviour of dynamic systems or even system failure is sometimes difficult…

最优化与控制 · 数学 2022-03-25 Dominik Kahl , Andreas Weber , Maik Kschischo

We consider the adaptive control problem for discrete-time, nonlinear stochastic systems with linearly parameterised uncertainty. Assuming access to a parameterised family of controllers that can stabilise the system in a bounded set within…

系统与控制 · 电气工程与系统科学 2025-11-24 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Deterministic chaos permits a precise notion of a "perfect measurement" as one that, when obtained repeatedly, captures all of the information created by the system's evolution with minimal redundancy. Finding an optimal measurement is…

机器学习 · 计算机科学 2024-03-21 Kieran A. Murphy , Dani S. Bassett

In Willems' behavioral systems theory, a dynamical system is identified with the set of all trajectories compatible with its laws of motion. In the linear time-invariant setting this trajectory set is a linear subspace, and its algebraic…

最优化与控制 · 数学 2026-05-08 Victor M. Preciado

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…

最优化与控制 · 数学 2015-12-23 Niladri Sekhar Tripathy , I. N. Kar , Kolin Paul

This paper studies the attack detection problem in a data-driven and model-free setting, for deterministic systems with linear and time-invariant dynamics. Differently from existing studies that leverage knowledge of the system dynamics to…

系统与控制 · 电气工程与系统科学 2020-03-19 Vishaal Krishnan , Fabio Pasqualetti

We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

系统与控制 · 电气工程与系统科学 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

Uncertainty propagation in non-linear dynamical systems has become a key problem in various fields including control theory and machine learning. In this work we focus on discrete-time non-linear stochastic dynamical systems. We present a…

系统与控制 · 电气工程与系统科学 2024-09-12 Eduardo Figueiredo , Andrea Patane , Morteza Lahijanian , Luca Laurenti

Evaluating robustness under temporal distribution shift remains an open challenge. Existing metrics quantify the average decline in performance, but fail to capture how models adapt to evolving data. As a result, temporal degradation is…

机器学习 · 计算机科学 2026-04-09 Lorenzo Iovine , Giacomo Ziffer , Emanuele Della Valle