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This is a demonstration of the PNLSS Toolbox 1.0. The toolbox is designed to identify polynomial nonlinear state-space models from data. Nonlinear state-space models can describe a wide range of nonlinear systems. An illustration is…

系统与控制 · 电气工程与系统科学 2021-05-19 Jan Decuyper , Koen Tiels , Johan Schoukens

The study of multiplicative noise models has a long history in control theory but is re-emerging in the context of complex networked systems and systems with learning-based control. We consider linear system identification with…

系统与控制 · 电气工程与系统科学 2020-07-06 Yu Xing , Ben Gravell , Xingkang He , Karl Henrik Johansson , Tyler Summers

State-space reduction techniques, used primarily in model-checkers, all rely on the idea that some actions are independent, hence could be taken in any (respective) order while put in parallel, without changing the semantics. It is thus not…

分布式、并行与集群计算 · 计算机科学 2012-04-03 Lisbeth Fajstrup , Eric Goubault , Emmanuel Haucourt , Samuel Mimram , Martin Raussen

State space subspace algorithms for input-output systems have been widely applied but also have a reasonably well-developedasymptotic theory dealing with consistency. However, guaranteeing the stability of the estimated system matrix is a…

系统与控制 · 电气工程与系统科学 2024-08-19 Xinhui Rong , Victor Solo

We simulate a recursive least-squares estimator to determine the bandwidth $\omega_{12}$ and the detuning $\Delta\omega$ of a cavity that is controlled with a low-level RF system and we present a comprehensive analysis of the convergence…

加速器物理 · 物理学 2023-08-30 Volker Ziemann

In this paper, we study the system identification problem for sparse linear time-invariant systems. We propose a sparsity promoting block-regularized estimator to identify the dynamics of the system with only a limited number of input-state…

系统与控制 · 计算机科学 2018-08-28 Salar Fattahi , Somayeh Sojoudi

We consider the joint problem of system identification and inverse optimal control for discrete-time stochastic Linear Quadratic Regulators. We analyze finite and infinite time horizons in a partially observed setting, where the state is…

System identification is a key enabling component for the implementation of quantum technologies, including quantum control. In this paper, we consider the class of passive linear input-output systems, and investigate several basic…

量子物理 · 物理学 2016-05-09 Madalin Guta , Naoki Yamamoto

This article presents an identification methodology to capture general relationships, with application to piecewise nonlinear approximations of model predictive control for constrained (non)linear systems. The mathematical formulation…

最优化与控制 · 数学 2017-01-06 Van-Vuong Trinh , Mazen Alamir , Patrick Bonnay

This paper considers the problem of system identification for linear time varying systems. We propose a new system realization approach that uses an "information-state" as the state vector, where the "information-state" is composed of a…

系统与控制 · 电气工程与系统科学 2024-04-08 Mohamed Naveed Gul Mohamed , Raman Goyal , Suman Chakravorty , Ran Wang

State-space mixed-frequency vector autoregressions are now widely used for nowcasting. Despite their popularity, estimating such models can be computationally intensive, especially for large systems with stochastic volatility. To tackle the…

计量经济学 · 经济学 2021-12-22 Joshua C. C. Chan , Aubrey Poon , Dan Zhu

Linear subspace representations of appearance variation are pervasive in computer vision. This paper addresses the problem of robustly matching such subspaces (computing the similarity between them) when they are used to describe the scope…

计算机视觉与模式识别 · 计算机科学 2014-02-03 Ognjen Arandjelovic

A standard approach for model reduction of linear input-output systems is balanced truncation, which is based on the controllability and observability properties of the underlying system. The related dominant subspace projection model…

最优化与控制 · 数学 2019-08-23 Peter Benner , Christian Himpe

Backward reachability analysis computes the set of states that reach a target set under the competing influence of control input and disturbances. Depending on their interplay, the backward reachable set either represents all states that…

数值分析 · 数学 2025-09-19 Mark Wetzlinger , Matthias Althoff

We propose a novel image set classification technique using linear regression models. Downsampled gallery image sets are interpreted as subspaces of a high dimensional space to avoid the computationally expensive training step. We estimate…

计算机视觉与模式识别 · 计算机科学 2017-01-11 Syed Afaq Ali Shah , Uzair Nadeem , Mohammed Bennamoun , Ferdous Sohel , Roberto Togneri

In this work we propose techniques for efficient reachability analysis of the state space (e.g., detection of bad states) using a combination of partial order and symmetry based reductions in a distributed setting. The proposed techniques…

分布式、并行与集群计算 · 计算机科学 2009-01-05 Janardan Misra , Suman Roy

This paper investigates system identification problems with Gaussian inputs and quantized observations under fixed thresholds. By reinterpreting the nonlinear effects induced by quantization as the product of the unknown parameter and an…

最优化与控制 · 数学 2025-10-20 Xingrui Liu , Ying Wang , Yanlong Zhao

The paper addresses the model reduction problem for linear and nonlinear systems using the notion of least squares moment matching. For linear systems, the main idea is to approximate a transfer function by ensuring that the interpolation…

最优化与控制 · 数学 2021-10-13 Alberto Padoan

We introduce RACH-Space, an algorithm for labelling unlabelled data in weakly supervised learning, given incomplete, noisy information about the labels. RACH-Space offers simplicity in implementation without requiring hard assumptions on…

机器学习 · 计算机科学 2024-02-05 Woojoo Na , Abiy Tasissa

Linear time-invariant systems are very popular models in system theory and applications. A fundamental problem in system identification that remains rather unaddressed in extant literature is to leverage commonalities amongst related linear…