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Using Bayesian methods for extreme value analysis offers an alternative to frequentist ones, with several advantages such as easily dealing with parametric uncertainty or studying irregular models. However, computations can be challenging…

Methodology · Statistics 2023-06-12 Théo Moins , Julyan Arbel , Stéphane Girard , Anne Dutfoy

Parameterized synthesis offers a solution to the problem of constructing correct and verified controllers for parameterized systems. Such systems occur naturally in practice (e.g., in the form of distributed protocols where the amount of…

Logic in Computer Science · Computer Science 2020-09-30 Oliver Markgraf , Chih-Duo Hong , Anthony W. Lin , Muhammad Najib , Daniel Neider

In adaptive control theory, the dynamic regressor extension and mixing (DREM) procedure has become widespread as it allows one to describe major of adaptive control problems in unified terms of the parameter estimation problem of a…

Systems and Control · Electrical Eng. & Systems 2024-12-12 Anton Glushchenko , Konstantin Lastochkin

In this paper we propose a new method to detect and classify coexisting solutions in nonlinear systems. We focus on mechanical and structural systems where we usually avoid multistability for safety and reliability. We want to be sure that…

Adaptation and Self-Organizing Systems · Physics 2016-02-12 P. Brzeski , M. Lazarek , T. Kapitaniak , J. Kurths , P. Perlikowski

Stabilization of a coupled system consisting of a parabolic partial differential equation and an elliptic partial differential equation is considered. Even in the situation when the parabolic equation is exponentially stable on its own, the…

Optimization and Control · Mathematics 2023-09-04 Ala' Alalabi , Kirsten Morris

A basic challenge in experimental physics is the extraction of information related to variables that are not directly measured. The challenge is particularly severe in quantum systems where one may be interested in correlations of operators…

Quantum Gases · Physics 2026-04-13 Jackson Lee , Andrew J Millis

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sourav Sinha , Mazen Farhood

We establish a link between stability estimates for a hyperbolic inverse problem via the Boundary Control method and the blowup of a constant appearing in the contexts of optimal unique continuation and cost of approximate controllability.

Analysis of PDEs · Mathematics 2025-03-11 Spyridon Filippas , Lauri Oksanen

This work introduces a parametric simulation-free reduced order model for incompressible flows undergoing a Hopf bifurcation, leveraging the parametrisation method for invariant manifolds. Unlike data-driven approaches, this method operates…

Computational Engineering, Finance, and Science · Computer Science 2025-10-31 Alessio Colombo , Alessandra Vizzaccaro , Cyril Touzé , André de F. Stabile , Luc Pastur , Attilio Frangi

We consider state and parameter estimation for a dynamical system having both time-varying and time-invariant parameters. It has been shown that the robustness of the Markov Chain Monte Carlo (MCMC) algorithm for estimating time-invariant…

Computational Engineering, Finance, and Science · Computer Science 2022-10-18 Philippe Bisaillon , Brandon Robinson , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar

Parametric estimation of stochastic differential equations (SDEs) has been a subject of intense studies already for several decades. The Heston model for instance is driven by two coupled SDEs and is often used in financial mathematics for…

Mathematical Finance · Quantitative Finance 2022-11-29 Jarosław Gruszka , Janusz Szwabiński

This paper investigates a flow- and path-sensitive static information flow analysis. Compared with security type systems with fixed labels, it has been shown that flow-sensitive type systems accept more secure programs. We show that an…

Programming Languages · Computer Science 2017-06-22 Peixuan Li , Danfeng Zhang

We consider flow along a finite-length collapsible channel driven by a fixed upstream flux, where a section of one wall of a planar rigid channel is replaced by a plane-strain elastic beam subject to uniform external pressure. A modified…

Fluid Dynamics · Physics 2021-09-22 Danyang Wang , Xiaoyu Luo , Peter Stewart

In Bounded Model Checking both the system model and the checked property are translated into a Boolean formula to be analyzed by a SAT-solver. We introduce a new encoding technique which is particularly optimized for managing quantitative…

Logic in Computer Science · Computer Science 2015-05-13 Matteo Pradella , Angelo Morzenti , Pierluigi San Pietro

The mutations of a complex systemic disease like cancer can be modeled as stuck-at faults in the Boolean system paradigm. For a class of multiple faults, the fault identification is exceptionally significant under the incomplete access of…

Systems and Control · Computer Science 2018-09-11 Anuj Deshpande , Ritwik Kumar Layek

We study Bayesian inverse problems with mixed noise, modeled as a combination of additive and multiplicative Gaussian components. While traditional inference methods often assume fixed or known noise characteristics, real-world…

Machine Learning · Computer Science 2025-10-17 Paul Hagemann , Robert Gruhlke , Bernhard Stankewitz , Claudia Schillings , Gabriele Steidl

The area of Smart Power Grids needs to constantly improve its efficiency and resilience, to pro-vide high quality electrical power, in a resistant grid, managing faults and avoiding failures. Achieving this requires high component…

Machine Learning · Computer Science 2021-02-03 Pedro J. Rivera Torres , Carlos Gershenson García , Samir Kanaan Izquierdo

Climate-controlled cabins have for decades been standard in vehicles. Model Predictive Controllers (MPCs) have shown promising results in achieving temperature tracking in vehicle cabins and may improve upon model-free control performance.…

Systems and Control · Electrical Eng. & Systems 2023-10-06 David Stenger , Tim Reuscher , Heike Vallery , Dirk Abel

We consider output-feedback stabilization problems for a class of two-component linear parabolic systems with boundary actuation and measurement. The state-feedback control laws are obtained using backstepping method and require measurement…

Analysis of PDEs · Mathematics 2016-12-13 Agus Hasan

This paper concerns the adaptive control problem for a class of nonlinear stochastic systems in which the state update is given by a nonlinear function of linear dynamics plus additive stochastic noise. Such systems arise in a wide range of…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Lantian Zhang , Bo Wahlberg , Silun Zhang