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Stochastic differential equations have proved to be a valuable governing framework for many real-world systems which exhibit ``noise'' or randomness in their evolution. One quality of interest in such systems is the shape of their…

动力系统 · 数学 2025-02-04 David Sabin-Miller , Daniel M. Abrams

Equilibrium formally can be represented as an ensemble of uncoupled systems undergoing unbiased dynamics in which detailed balance is maintained. Many non-equilibrium processes can be described by suitable subsets of the equilibrium…

This paper investigates a class of controlled stochastic partial differential equations (SPDEs) arising in the modeling of composite materials with spatially varying properties. The state equation describes the evolution of a material…

最优化与控制 · 数学 2025-02-24 Nacira Agram , Isabelle Turpin , Eya Zougar

Augmenting mechanistic ordinary differential equation (ODE) models with machine-learnable structures is an novel approach to create highly accurate, low-dimensional models of engineering systems incorporating both expert knowledge and…

动力系统 · 数学 2022-06-22 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

Physical systems whose dynamics are governed by partial differential equations (PDEs) find applications in numerous fields, from engineering design to weather forecasting. The process of obtaining the solution from such PDEs may be…

机器学习 · 计算机科学 2022-09-21 Pratyush Bhatt , Yash Kumar , Azzeddine Soulaimani

Surface integral equation (SIE) methods are of great interest for the numerical solution of Maxwell's equations in the presence of homogeneous objects. However, existing SIE algorithms have limitations, either in terms of scalability,…

计算物理 · 物理学 2021-06-14 Shashwat Sharma , Piero Triverio

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

We investigate generalized non-Markovian stochastic Schroeodinger equations (SSEs), driven by a multidimensional counting process and multidimensional Brownian motion introduced by A. Barchielli and C. Pellegrini [J. Math. Phys. 51, 112104…

量子物理 · 物理学 2018-08-08 V. Semin , I. Semina , F. Petruccione

This paper proposes a control strategy consisting of a robust controller and an Echo State Network (ESN) based control law for stabilizing a class of uncertain nonlinear discrete-time systems subject to persistent disturbances. Firstly, the…

系统与控制 · 电气工程与系统科学 2024-10-31 A. Banderchuk , D. Coutinho , E. Camponogara

End-to-end trained neural networks (NNs) are a compelling approach to autonomous vehicle control because of their ability to learn complex tasks without manual engineering of rule-based decisions. However, challenging road conditions,…

人工智能 · 计算机科学 2021-11-24 Alexander Amini , Ava Soleimany , Sertac Karaman , Daniela Rus

This paper introduces an improved Electronic Stability Program for cars that can deal with the sudden burst of a tyre. The Improved Electronic Stability Program (IESP) is based on a fuzzy logic algorithm. The IESP collects data from the…

系统与控制 · 计算机科学 2011-04-11 Luca Piancastelli , Leonardo Frizziero , Simone Marcoppido , Eugenio Pezzuti

In an aircraft electric power system (EPS), a supervisory control unit must actuate a set of switches to distribute power from generators to loads, while satisfying safety, reliability and real-time performance requirements. To reduce…

系统与控制 · 计算机科学 2013-11-26 Pierluigi Nuzzo , John Finn , Mohammad Mozumdar , Alberto Sangiovanni-Vincentelli

The spatiotemporal dynamics of turbulent flows is chaotic and difficult to predict. This makes the design of accurate and stable reduced-order models challenging. The overarching objective of this paper is to propose a nonlinear…

流体动力学 · 物理学 2022-11-23 Alberto Racca , Nguyen Anh Khoa Doan , Luca Magri

This paper extends the high-order entropy stable (ES) adaptive moving mesh finite difference schemes developed in [14] to the two- and three-dimensional (multi-component) compressible Euler equations with the stiffened equation of state.…

数值分析 · 数学 2022-08-10 Shangting Li , Junming Duan , Huazhong Tang

This paper deals with the gradient-based extremum seeking control (ESC) with actuation dynamics governed by distributed wave partial differential equations (PDEs). To achieve the control objective of real-time optimization for this class of…

We study a coupled system of controlled stochastic differential equations (SDEs) driven by a Brownian motion and a compensated Poisson random measure, consisting of a forward SDE in the unknown process $X(t)$ and a \emph{predictive…

最优化与控制 · 数学 2015-05-20 Bernt Øksendal , Agnès Sulem

We propose a series of dissipation-assisted entanglement generation protocols that can be implemented on a trapped-ion quantum simulator. Our approach builds on the single-site molecular electron transfer (ET) model recently realized in the…

量子物理 · 物理学 2025-07-10 Mingjian Zhu , Visal So , Guido Pagano , Han Pu

The development of sophisticated experimental means to control nanoscale systems has motivated efforts to design driving protocols which minimize the energy dissipated to the environment. Computational models are a crucial tool in this…

统计力学 · 物理学 2016-09-14 Todd R. Gingrich , Grant M. Rotskoff , Gavin E. Crooks , Phillip L. Geissler

We propose a novel approach for sequential optimal experimental design (sOED) for Bayesian inverse problems involving expensive models with high-dimensional unknown parameters. This work focuses on designs that maximize the expected…

最优化与控制 · 数学 2026-05-05 Tiangang Cui , Karina Koval , Roland Herzog , Robert Scheichl

High level declarative constraints provide a powerful (and popular) way to define and construct control policies; however, most synthesis algorithms do not support specifying the degree of randomness (unpredictability) of the resulting…

机器人学 · 计算机科学 2021-06-30 Marcell Vazquez-Chanlatte , Sebastian Junges , Daniel J. Fremont , Sanjit Seshia