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We analyse the problem of solving Boolean equation systems through the use of structure graphs. The latter are obtained through an elegant set of Plotkin-style deduction rules. Our main contribution is that we show that equation systems…

Logic in Computer Science · Computer Science 2010-02-16 Michel A. Reniers , Tim A. C. Willemse

In this work, we consider the problem of designing a safety filter for a nonlinear uncertain control system. Our goal is to augment an arbitrary controller with a safety filter such that the overall closed-loop system is guaranteed to stay…

Robotics · Computer Science 2022-04-11 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

Modern safety-critical systems are heterogeneous, complex, and highly dynamic. They require reliability evaluation methods that go beyond the classical static methods such as fault trees, event trees, or reliability block diagrams.…

Logic in Computer Science · Computer Science 2020-04-15 Clemens Dubslaff , Andrey Morozov , Christel Baier , Klaus Janschek

Probabilistic circuits (PCs) are a prominent representation of probability distributions with tractable inference. While parameter learning in PCs is rigorously studied, structure learning is often more based on heuristics than on…

Machine Learning · Computer Science 2023-02-24 Yang Yang , Gennaro Gala , Robert Peharz

We consider flux-based multiple-porosity/multiple-permeability poroelasticity systems describing multiple-network flow and deformation in a poro-elastic medium, sometimes also referred to as MPET models. The focus of the paper is on the…

Numerical Analysis · Mathematics 2019-04-01 Qingguo Hong , Johannes Kraus , Maria Lymbery , Mary Fanett Wheeler

This paper addresses the balanced control between performance and saturation for a class of constrained nonlinear systems, including the branches: balanced command filtered backstepping (BCFB) and balanced performance control (BPC). To…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Peng Wang , Haibin Wang , Shuzhi Sam Ge , Xiaobing Zhang

Ensuring safety under unknown and stochastic dynamics remains a significant challenge in reinforcement learning (RL). In this paper, we propose a model predictive control (MPC)-based safe RL framework, called Probabilistic Ensembles with…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Ali Umut Kaypak , Prashanth Krishnamurthy , Farshad Khorrami

Here we use polynomial chaos framework to design controllers for linear parameter varying (LPV) dynamical systems. We assume the scheduling variable to be random and use polynomial chaos approach to synthesize the controller for the…

Systems and Control · Computer Science 2015-05-15 Raktim Bhattacharya

This report proposes a novel framework for a rigorous robustness analysis of stochastic biochemical systems. The technique is based on probabilistic model checking. We adapt the general definition of robustness introduced by Kitano to the…

Numerical Analysis · Computer Science 2013-10-18 Lubos Brim , Milan Ceska , Sven Drazan , David Safranek

Numerical simulations of coupled map lattices (CMLs) and other complex model systems show an enormous phenomenological variety that is difficult to classify and understand. It is therefore desirable to establish analytical tools for…

Chaotic Dynamics · Physics 2009-11-10 H. Atmanspacher , T. Filk , H. Scheingraber

We present a method of parameter estimation for large class of nonlinear systems, namely those in which the state consists of output derivatives and the flow is linear in the parameter. The method, which solves for the unknown parameter by…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Simon Kuang , Xinfan Lin

The purpose of this paper is to study the structure of quantum linear systems in terms of their Kalman canonical form, which was proposed in a recent paper \cite{ZGPG18}. The spectral structure of quantum linear systems is explored, which…

Quantum Physics · Physics 2019-04-30 Guofeng Zhang , Ian R. Petersen , Jinghao Li

We propose a novel nonparametric sequential test for composite hypotheses for means of multiple data streams. Our proposed method, \emph{peeking with expectation-based averaged capital} (PEAK), builds upon the testing-by-betting framework…

Methodology · Statistics 2024-06-04 Brian Cho , Kyra Gan , Nathan Kallus

This paper introduces a new model for highly accurate distribution voltage solutions, coined as a parameterized linear power flow model. The proffered model is grounded on a physical model of linear power flow equations, and uses…

Systems and Control · Electrical Eng. & Systems 2022-11-03 Marija Marković , Bri-Mathias Hodge

In this paper, based on real-time nonlinear receding horizon control methodology, a novel approach is developed for parameter estimation of time invariant and time varying nonlinear dynamical systems in chaotic environments. Here, the…

Optimization and Control · Mathematics 2016-11-21 Fei Sun , Kamran Turkoglu

This article proposes a highly accurate and conservative method for hyperbolic systems using the finite volume approach. This innovative scheme constructs the intermediate states at the interfaces of the control volumes using the method of…

Numerical Analysis · Mathematics 2023-11-23 Wassim Aboussi , Moussa Ziggaf , Imad Kissami , Mohamed Boubekeur

Gaining and understanding the flow dynamics have much importance in a wide range of disciplines, e.g. astrophysics, geophysics, biology, mechanical engineering and biomedical engineering. As a reliable way in practice, especially for…

Fluid Dynamics · Physics 2022-06-22 Hui Xu , Wei Zhang , Yong Wang

Analytical join queries over unstructured data are increasingly prevalent in data analytics. Applying machine learning (ML) models to label every pair in the cross product of tables can achieve state-of-the-art accuracy, but the cost of…

Databases · Computer Science 2026-03-18 Yuxuan Zhu , Tengjun Jin , Chenghao Mo , Daniel Kang

Probabilistic models such as Gaussian processes (GPs) are powerful tools to learn unknown dynamical systems from data for subsequent use in control design. While learning-based control has the potential to yield superior performance in…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Alexander von Rohr , Matthias Neumann-Brosig , Sebastian Trimpe

We illustrate the potential of PDE-based traffic flow control in cardiovascular flow analysis, monitoring, and control, presenting a PDE-based control-oriented formulation, for 1-D blood flow dynamics in the presence of stenosis. This is…

Optimization and Control · Mathematics 2021-12-23 Nikolaos Bekiaris-Liberis
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