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The design of direct data-based controllers has become a fundamental part of control theory research in the last few years. In this paper, we consider three classes of data-based state feedback control problems for linear systems. These…

系统与控制 · 电气工程与系统科学 2026-05-15 Victor G. Lopez , Matthias A. Müller

In this paper, we present a novel control scheme for feedback optimization. That is, we propose a discrete-time controller that can steer the steady state of a physical plant to the solution of a constrained optimization problem without…

系统与控制 · 电气工程与系统科学 2020-07-09 Verena Häberle , Adrian Hauswirth , Lukas Ortmann , Saverio Bolognani , Florian Dörfler

Robust phases of matter, which remain stable under small perturbations, are of fundamental importance in statistical physics and quantum information. Recent advances in interactive quantum dynamics have led to renewed interest in…

统计力学 · 物理学 2026-01-28 Hyunsoo Ha , David A. Huse , Rhine Samajdar

In this manuscript, we investigate symbolic abstractions that capture the behavior of piecewise-affine systems under input constraints and bounded external noise. This is accomplished by considering local affine feedback controllers that…

最优化与控制 · 数学 2022-11-23 Lucas N. Egidio , Thiago Alves Lima , Raphaël M. Jungers

In this paper, we address the problem of stabilization in continuous time linear dynamical systems using state feedback when compressive sampling techniques are used for state measurement and reconstruction. In [5], we had introduced the…

最优化与控制 · 数学 2011-10-18 Kang Kang , Sourabh Bhattacharya , Tamer Basar

The problem of Reinforcement Learning (RL) in an unknown nonlinear dynamical system is equivalent to the search for an optimal feedback law utilizing the simulations/ rollouts of the dynamical system. Most RL techniques search over a…

机器学习 · 计算机科学 2022-03-25 Ran Wang , Karthikeya S. Parunandi , Aayushman Sharma , Raman Goyal , Suman Chakravorty

We consider the problem of forecasting complex, nonlinear space-time processes when observations provide only partial information of on the system's state. We propose a natural data-driven framework, where the system's dynamics are modelled…

系统与控制 · 计算机科学 2019-03-01 Ibrahim Ayed , Emmanuel de Bézenac , Arthur Pajot , Julien Brajard , Patrick Gallinari

We provide a synopsis of an effective approach to the problem of time in the semiclassical regime. The essential features of this new approach to evaluating relational quantum dynamics in constrained systems are illustrated by means of a…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Philipp A. Hoehn

We present a physics-informed machine learning (PIML) scheme for the feedback linearization of nonlinear discrete-time dynamical systems. The PIML finds the nonlinear transformation law, thus ensuring stability via pole placement, in one…

We introduce and demonstrate two linear inverse modelling methods for systems of stochastic ODE's with accuracy that is independent of the dimensionality (number of elements) of the state vector representing the system in question.…

数据分析、统计与概率 · 物理学 2015-04-29 Fenwick C. Cooper

Many low-Mach or all-Mach number codes are based on space discretizations which in combination with the first order explicit Euler method as time integration would lead to an unstable scheme. In this paper, we investigate how the choice of…

数值分析 · 数学 2023-09-14 Friedemann Kemm

In this paper we introduce the concept of random time changes in dynamical systems. The subordination principle may be applied to study the long time behavior of the random time systems. We show, under certain assumptions on the class of…

动力系统 · 数学 2021-01-01 José Luís da Silva , Yuri Kondratiev

We present a stochastic predictive controller for discrete time linear time invariant systems under incomplete state information. Our approach is based on a suitable choice of control policies, stability constraints, and employment of a…

最优化与控制 · 数学 2018-02-27 Prabhat Kumar Mishra , Debasish Chatterjee , Daniel E. Quevedo

Output feedback stabilization of control systems is a crucial issue in engineering. Most of these systems are not uniformly observable, which proves to be a difficulty to move from state feedback stabilization to dynamic output feedback…

最优化与控制 · 数学 2020-06-19 Ludovic Sacchelli , Lucas Brivadis , Vincent Andrieu , Ulysse Serres , Jean-Paul Gauthier

In this paper a novel discrete-time realization of the super-twisting controller is proposed. The closed-loop system is proven to converge to an invariant set around the origin in finite time. Furthermore, the steady-state error is shown to…

系统与控制 · 电气工程与系统科学 2024-05-03 Benedikt Andritsch , Lars Watermann , Stefan Koch , Markus Reichhartinger , Johann Reger , Martin Horn

In this paper we present a direct adaptive control method for a class of uncertain nonlinear systems with a time-varying structure. We view the nonlinear systems as composed of a finite number of ``pieces,'' which are interpolated by…

最优化与控制 · 数学 2007-05-23 R. Ordonez , K. M. Passino

The discovery of structure from time series data is a key problem in fields of study working with complex systems. Most identifiability results and learning algorithms assume the underlying dynamics to be discrete in time. Comparatively…

机器学习 · 统计学 2022-02-04 Alexis Bellot , Kim Branson , Mihaela van der Schaar

Linear Response theory aims to predict how added forcing alters the statistical properties of an unforced system. These kinds of questions have been studied predominantly for autonomous dynamical systems, yet many systems in the physical,…

动力系统 · 数学 2026-04-07 Stefano Galatolo , Valerio Lucarini

We consider the design of state feedback control laws for both the switching signal and the continuous input of an unknown switched linear system, given past noisy input-state trajectories measurements. Based on Lyapunov-Metzler…

最优化与控制 · 数学 2025-06-05 Mattia Bianchi , Sergio Grammatico , Jorge Cortés

This paper studies quantized control for discrete-time piecewise affine systems. For given stabilizing feedback controllers, we propose an encoding strategy for local stability. If the quantized state is near the boundaries of quantization…

系统与控制 · 计算机科学 2015-09-07 Masashi Wakaiki , Yutaka Yamamoto