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Cyberattacks on critical infrastructure, particularly water distribution systems, have increased due to rapid digitalization and the integration of IoT devices and industrial control systems (ICS). These cyber-physical systems (CPS)…

密码学与安全 · 计算机科学 2025-09-22 Michael Somma

These lectures present the analysis of stability and control of long time behavior of PDE models described by nonlinear evolutions of hyperbolic type. Specific examples of the models under consideration include: (i) nonlinear systems of…

偏微分方程分析 · 数学 2012-04-27 Igor Chueshov , Irena Lasiecka

A deep-sea construction vessel is used to install underwater parts of an off-shore oil drilling platform at the designated locations on the seafloor. By using extended Hamilton's principle, a nonlinear PDE system governing the…

最优化与控制 · 数学 2020-07-23 Ji Wang , Miroslav Krstic

We consider the problem of output feedback regulationfor a linear first-order hyperbolic system with collocatedinput and output in presence of a general class of disturbancesand noise. The proposed control law is designed through…

偏微分方程分析 · 数学 2017-10-20 Pierre-Olivier Lamare , Jean Auriol , Florent Di Meglio , Ulf Jakob F. Aarsnes

We consider the problem of finding collision-free paths for curvature-constrained systems in the presence of obstacles while minimizing execution time. Specifically, we focus on the setting where a planar system can travel at some range of…

机器人学 · 计算机科学 2022-04-05 Doron Pinsky , Petr Váňa , Jan Faigl , Oren Salzman

An important initial step in fault detection for complex industrial systems is gaining an understanding of their health condition. Subsequently, continuous monitoring of this health condition becomes crucial to observe its evolution, track…

系统与控制 · 电气工程与系统科学 2023-11-09 Chi-Ching Hsu , Gaetan Frusque , Olga Fink

We consider a self-oscillator whose excitation parameter is varied. Frequency of the variation is much smaller then the natural frequency of the oscillator so that oscillations in the system are periodically excited and decay. Also a time…

适应与自组织系统 · 物理学 2020-11-10 Pavel V. Kuptsov , Sergey P. Kuznetsov

This paper deals with the numerical integration of well-posed multiscale systems of ODEs or evolutionary PDEs. As these systems appear naturally in engineering problems, time-subcycling techniques are widely used every day to improve…

偏微分方程分析 · 数学 2015-10-07 Guillaume Dujardin , Pauline Lafitte

This contribution develops an algebraic approach to obtain a controller form for a class of linear hyperbolic MIMO systems, bidirectionally coupled with a linear ODE system at the unactuated boundary. After a short summary of established…

系统与控制 · 电气工程与系统科学 2026-04-21 Stefan Ecklebe , Frank Woittennek

This paper extends backstepping to higher-dimensional PDEs by leveraging domain symmetries and structural properties. We systematically address three increasingly complex scenarios. First, for rectangular domains, we characterize boundary…

最优化与控制 · 数学 2025-03-04 Rafael Vazquez

This study proposes a high-order multi-scale method tailored for time-dependent nonlinear thermo-electro-mechanical coupling problems of composite structures with highly spatial heterogeneity, which incorporate temperature-dependent…

数值分析 · 数学 2026-04-22 Hao Dong

We propose a novel Model Order Reduction framework that is able to handle solutions of hyperbolic problems characterized by multiple travelling discontinuities. By means of an optimization based approach, we introduce suitable calibration…

数值分析 · 数学 2025-05-14 Monica Nonino , Davide Torlo

Uncertainty-aware deep learning (DL) models recently gained attention in fault diagnosis as a way to promote the reliable detection of faults when out-of-distribution (OOD) data arise from unseen faults (epistemic uncertainty) or the…

机器学习 · 计算机科学 2024-12-30 Reza Jalayer , Masoud Jalayer , Andrea Mor , Carlotta Orsenigo , Carlo Vercellis

This paper presents a novel approach for the identification of linear time-periodic (LTP) systems in continuous time. This method is based on harmonic modeling and consists in converting any LTP system into an equivalent LTI system with…

系统与控制 · 电气工程与系统科学 2024-04-18 Flora Vernerey , Pierre Riedinger , Andrea Iannelli , Jamal Daafouz

First-order systems of hyperbolic partial differential equations (PDEs) occur ubiquitously throughout computational physics, commonly used in simulations of fluid turbulence, shock waves, electromagnetic interactions, and even general…

计算机科学中的逻辑 · 计算机科学 2025-03-19 Jonathan Gorard , Ammar Hakim

In this paper, we consider a coupled PDE system describing phase separation and damage phenomena in elastically stressed alloys in the presence of inertial effects. The material is considered on a bounded Lipschitz domain with mixed…

偏微分方程分析 · 数学 2016-09-16 Christian Heinemann , Christiane Kraus

This paper addresses the design and analysis of a multivariable gradient-based stochastic extremum-seeking control method for multi-input systems with arbitrary input delays. The approach accommodates systems with distinct time delays…

最优化与控制 · 数学 2024-11-19 Paulo Cesar Souza Silva , Paulo Cesar Pellanda , Tiago Roux Oliveira

One way of improving the behavior of finite element schemes for classical, time-dependent Maxwell's equations, is to render them from their hyperbolic character to elliptic form. This paper is devoted to the study of the stabilized linear…

数值分析 · 数学 2024-09-23 M. Asadzadeh , L. Beilina

In this work, we have presented a simple analytical approximation scheme for generic non-linear FBSDEs. By treating the interested system as the linear decoupled FBSDE perturbed with non-linear generator and feedback terms, we have shown…

计算金融 · 定量金融 2012-01-23 Masaaki Fujii , Akihiko Takahashi

This work concerns the exponential stabilization of underactuated linear homogeneous systems of m parabolic partial differential equations (PDEs) in cascade (reaction-diffusion systems), where only the first state is controlled either…

最优化与控制 · 数学 2023-10-19 Constantinos Kitsos , Emilia Fridman