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This work develops a measurement-driven and model-based formal verification approach, applicable to systems with partly unknown dynamics. We provide a principled method, grounded on reachability analysis and on Bayesian inference, to…

Systems and Control · Computer Science 2015-09-14 Sofie Haesaert , Paul M. J. Van den Hof , Alessandro Abate

Reconstructing the Hamiltonian of a quantum system is an essential task for characterizing and certifying quantum processors and simulators. Existing techniques either rely on projective measurements of the system before and after coherent…

We employ reachability analysis in designing dynamic quantization schemes for the remote state estimation of linear systems over a finite date rate communication channel. The quantization region is dynamically updated at each transmission…

Optimization and Control · Mathematics 2023-09-11 Yaodong Li , Michelle S. Chong

In this paper we investigate a data-driven approach to the design of an unknown-input observer (UIO). Specifically, we provide necessary and sufficient conditions for the existence of an unknown-input observer for a discrete-time linear…

Dynamical Systems · Mathematics 2025-01-03 Giorgia Disarò , Maria Elena Valcher

This paper is concerned with identifying linear system dynamics without the knowledge of individual system trajectories, but from the knowledge of the system's reachable sets observed at different times. Motivated by a scenario where the…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Taha Shafa , Roy Dong , Melkior Ornik

Transformer-based language models have set new benchmarks across a wide range of NLP tasks, yet reliably estimating the uncertainty of their predictions remains a significant challenge. Existing uncertainty estimation (UE) techniques often…

Machine Learning · Computer Science 2024-09-18 Elizaveta Kostenok , Daniil Cherniavskii , Alexey Zaytsev

We provide algorithmically verifiable necessary and sufficient conditions for fundamental system theoretic properties of discrete time linear systems subject to data losses. More precisely, the systems in our modeling framework are subject…

Optimization and Control · Mathematics 2016-09-20 Raphael M. Jungers , W. P. M. H. Heemels , Atreyee Kundu

In this work, we present a novel Koopman spectrum-based reachability verification method for nonlinear systems. Contrary to conventional methods that focus on characterizing all potential states of a dynamical system over a presupposed time…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Jianqiang Ding , Shankar A. Deka

Data-driven controllers design is an important research problem, in particular when data is corrupted by the noise. In this paper, we propose a data-driven min-max model predictive control (MPC) scheme using noisy input-state data for…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Yifan Xie , Julian Berberich , Frank Allgöwer

We present a stochastic model predictive control framework for nonlinear systems subject to unbounded process noise with closed-loop guarantees. First, we provide a conceptual shrinking-horizon framework that utilizes general probabilistic…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Johannes Köhler , Melanie N. Zeilinger

For a discrete-time linear system, we use data from a single open-loop experiment to design directly a feedback controller enforcing that a given (polyhedral) set of the state is invariant and given (polyhedral) constraints on the control…

Systems and Control · Electrical Eng. & Systems 2021-06-23 Andrea Bisoffi , Claudio De Persis , Pietro Tesi

Real-world autonomous systems often employ probabilistic predictive models of human behavior during planning to reason about their future motion. Since accurately modeling human behavior a priori is challenging, such models are often…

Robotics · Computer Science 2020-04-07 Somil Bansal , Andrea Bajcsy , Ellis Ratner , Anca D. Dragan , Claire J. Tomlin

Time delays in communication channels present significant challenges for bilateral teleoperation systems, affecting both transparency and stability. Although traditional wave variable-based methods for a four-channel architecture ensure…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Nour Mitiche , Farid Ferguene , Mourad Oussalah

This paper presents a synthesis approach aiming to guarantee a minimum upper-bound for the time taken to reach a target set of non-zero measure that encompasses the origin, while taking into account uncertainties and input and state…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Víctor Costa da Silva Campos , Mariella Maia Quadros , Luciano Frezzato , Leonardo Mozelli , Anh-Tu Nguyen

We establish a separation principle for the output feedback stabilisation of state-affine systems that are observable at the stabilization target. Relying on control templates (recently introduced in [4]), that allow to approximate a…

Optimization and Control · Mathematics 2024-11-15 Ludovic Sacchelli , Lucas Brivadis , Ulysse Serres , Itaï Ben Yaacov

Traditional reachability methods provide formal guarantees of safety under bounded disturbances. However, they strictly enforce state constraints as inviolable, which can result in overly conservative or infeasible solutions in complex…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Chams Eddine Mballo , Donggun Lee , Claire J. Tomlin

Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero.…

Optimization and Control · Mathematics 2016-01-05 Anton Ponomarev

This paper presents novel polytopic and interval observer designs for uncertain linear continuous-time (CT) and discrete-time (DT) systems subjected to bounded disturbances and noise. Our approach guarantees enclosure of the true state and…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Feiya Zhu , Tarun Pati , Sze Zheng Yong

Linear quadratic regulator with unmeasurable states and unknown system matrix parameters better aligns with practical scenarios. However, for this problem, balancing the optimality of the resulting controller and the leniency of the…

Optimization and Control · Mathematics 2025-09-04 Jun Xie , Yuan-Hua Ni , Yiqin Yang , Bo Xu

We introduce $\textit{Backward Conformal Prediction}$, a method that guarantees conformal coverage while providing flexible control over the size of prediction sets. Unlike standard conformal prediction, which fixes the coverage level and…

Machine Learning · Statistics 2026-02-13 Etienne Gauthier , Francis Bach , Michael I. Jordan
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