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We introduce a general methodology for quantitative model checking and control synthesis with supermartingale certificates. We show that every specification that is invariant to time shifts admits a stochastic invariant that bounds its…

Logic in Computer Science · Computer Science 2025-04-08 Alessandro Abate , Mirco Giacobbe , Diptarko Roy

KV cache quantization reduces the memory cost of long-context LLM inference, but introduces approximation error that is typically validated only empirically. Existing systems rely on average-case robustness, with no mechanism to detect or…

Machine Learning · Computer Science 2026-05-21 Dean Calver

This paper proposes a novel framework for active fault diagnosis and parameter estimation in linear systems operating in closed-loop, subject to unknown but bounded faults. The approach integrates set-membership identification with a cost…

Optimization and Control · Mathematics 2025-08-19 Annalena Daniels , Johannes Teutsch , Fabian Kleindienst , Marion Leibold , Dirk Wollherr

This article proposes an approach to design output-feedback controllers for unknown continuous-time linear time-invariant systems using only input-output data from a single experiment. To address the lack of state and derivative…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Alessandro Bosso , Marco Borghesi , Andrea Iannelli , Giuseppe Notarstefano , Andrew R. Teel

The development of the low-altitude economy has led to a growing prominence of uncrewed aerial vehicle (UAV) safety management issues. Therefore, accurate identification, real-time localization, and effective countermeasures have become…

Signal Processing · Electrical Eng. & Systems 2026-01-12 Yi Tao , Zhen Gao , Fangquan Ye , Jingbo Xu , Tao Song , Weidong Li , Yu Su , Lu Peng , Xiaomei Wu , Tong Qin , Zhongxiang Li , Dezhi Zheng

In recent years, the so-called `direct data-driven control' has been a topic of intense research, and it is expected that it will become prominent in future complex dynamical systems control. Within this framework, regularization not only…

Optimization and Control · Mathematics 2026-04-28 Shuyuan Zhang , Zheming Wang , Raphael M. Jungers

We investigate a linear quadratic Gaussian (LQG) tracking problem with safety and reachability constraints in the presence of an adversary who mounts an FDI attack on an unknown set of sensors. For each possible set of compromised sensors,…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Zhouchi Li , Luyao Niu , Andrew Clark

Sampled-data (SD) systems, which are composed of both discrete- and continuous-time components, are arguably one of the most common classes of cyberphysical systems in practice; most modern controllers are implemented on digital platforms…

Systems and Control · Computer Science 2014-05-13 Shahab Kaynama , Jeremy H. Gillula , Claire J. Tomlin

This paper investigates the problem of robust model predictive control (RMPC) of linear-time-invariant (LTI) discrete-time systems subject to structured uncertainty and bounded disturbances. Typically, the constrained RMPC problem with…

Systems and Control · Electrical Eng. & Systems 2022-08-18 Anastasis Georgiou , Furqan Tahir , Imad M. Jaimoukha , Simos A. Evangelou

This paper investigates the ability of the stochastic subspace identification technique to return a valid model from finite measurement data, its asymptotic properties as the data set becomes large, and asymptotic error bounds of the…

Systems and Control · Computer Science 2017-06-06 Quan Li , Jeffrey T. Scruggs

This paper addresses the inverse optimal control for the linear quadratic tracking problem with a fixed but unknown target state, which aims to estimate the possible triplets comprising the target state, the state weight matrix, and the…

Systems and Control · Electrical Eng. & Systems 2026-01-14 Yao Li , Chengpu Yu , Hao Fang , Jie Chen

We consider the problem of system identification of partially observed linear time-invariant (LTI) systems. Given input-output data, we provide non-asymptotic guarantees for identifying the system parameters under general heavy-tailed noise…

Systems and Control · Electrical Eng. & Systems 2025-04-28 Vinay Kanakeri , Aritra Mitra

Most data-driven analysis and control methods rely on centralized access to system measurements. In contrast, we consider a setting in which the measurements are distributed across multiple agents and raw data are not shared. Each agent has…

Optimization and Control · Mathematics 2026-03-12 Surya Malladi , Nima Monshizadeh

This paper develops a homogeneity-based approach to finite/fixed-time stabilization of linear time-invariant (LTI) system with quantized measurements. A sufficient condition for finite/fixed-time stabilization of multi-input LTI system…

Optimization and Control · Mathematics 2023-09-07 Yu Zhou , Andrey Polyakov , Gang Zheng

As the systems we control become more complex, first-principle modeling becomes either impossible or intractable, motivating the use of machine learning techniques for the control of systems with continuous action spaces. As impressive as…

Optimization and Control · Mathematics 2019-02-07 Ross Boczar , Nikolai Matni , Benjamin Recht

Validating whether a quantum device confers a computational advantage often requires classical simulation of its outcomes. The worst-case sampling cost of $L_1$-norm based simulation has plateaued at $\le(2+\sqrt{2})\xi_t \delta^{-1}$ in…

Quantum Physics · Physics 2022-05-02 Lucas Kocia , Genele Tulloch

A powerful result from behavioral systems theory known as the fundamental lemma allows for predictive control akin to Model Predictive Control (MPC) for linear time invariant (LTI) systems with unknown dynamics purely from data. While most…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Sebastian Kerz , Johannes Teutsch , Tim Brüdigam , Dirk Wollherr , Marion Leibold

In this paper, we provide a direct data-driven approach to synthesize safety controllers for unknown linear systems affected by unknown-but-bounded disturbances, in which identifying the unknown model is not required. First, we propose a…

Systems and Control · Electrical Eng. & Systems 2023-01-16 Bingzhuo Zhong , Majid Zamani , Marco Caccamo

Dynamical models identified from data are frequently employed in control system design. However, decoupling system identification from controller synthesis can result in situations where no suitable controller exists after a model has been…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Sampath Kumar Mulagaleti , Alberto Bemporad

In this paper, we study the linear quadratic (LQ) optimal control problem of linear systems with private input and measurement information. The main challenging lies in the unavailability of other regulators' historical input information.…

Optimization and Control · Mathematics 2023-05-29 Juanjuan Xu , Huanshui Zhang