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It is known that input-output approaches based on scaled small-gain theorems with constant $D$-scalings and integral linear constraints are non-conservative for the analysis of some classes of linear positive systems interconnected with…

最优化与控制 · 数学 2017-03-02 Corentin Briat

Besides parametric uncertainties and disturbances, the unmodeled dynamics and time delay at the input are often present in practical systems, which cannot be ignored in some cases. This paper aims to solve output feedback tracking control…

系统与控制 · 计算机科学 2020-03-10 Quan Quan , Hai Lin , Kai-Yuan Cai

This work discusses model reduction for differential-algebraic systems with quadratic output equations. Under mild conditions, these systems can be transformed into a Weierstra{\ss} canonical form and, thus, be decoupled into differential…

动力系统 · 数学 2024-02-23 Jennifer Przybilla , Igor Pontes Duff , Pawan Goyal , Peter Benner

The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem…

适应与自组织系统 · 物理学 2022-05-11 Sergei A. Plotnikov

This paper shows that the recent approach to quantitative typing systems for programming languages can be extended to pattern matching features. Indeed, we define two resource aware type systems, named U and E, for a lambda-calculus…

计算机科学中的逻辑 · 计算机科学 2019-12-05 Sandra Alves , Delia Kesner , Daniel Ventura

Euclidean embedding from noisy observations containing outlier errors is an important and challenging problem in statistics and machine learning. Many existing methods would struggle with outliers due to a lack of detection ability. In this…

机器学习 · 统计学 2020-12-24 Qian Zhang , Xinyuan Zhao , Chao Ding

The goal of this article is twofold. Firstly, nonlinear system identification is introduced to a wide audience, guiding practicing engineers and newcomers in the field to a sound solution of their data driven modeling problems for nonlinear…

系统与控制 · 计算机科学 2019-02-05 Johan Schoukens , Lennart Ljung

In this paper, a practicable simulation-free model order reduction method by nonlinear moment matching is developed. Based on the steady-state interpretation of linear moment matching, we comprehensively explain the extension of this…

系统与控制 · 电气工程与系统科学 2024-12-20 Maria Cruz Varona , Raphael Gebhart , Julian Suk , Boris Lohmann

Discrete-time models are very convenient to simulate a nonlinear system on a computer. In order to build the discrete-time simulation models for the nonlinear feedback systems (which is a very important class of systems in many…

系统与控制 · 计算机科学 2018-05-15 Rishi Relan , Johan Schoukens

We consider the problem of identifying a dissipative linear model of an unknown nonlinear system that is known to be dissipative, from time domain input-output data. We first learn an approximate linear model of the nonlinear system using…

系统与控制 · 电气工程与系统科学 2019-07-31 S. Sivaranjani , Etika Agarwal , Vijay Gupta

We explore probability modelling of discretization uncertainty for system states defined implicitly by ordinary or partial differential equations. Accounting for this uncertainty can avoid posterior under-coverage when likelihoods are…

统计方法学 · 统计学 2016-10-25 Oksana A. Chkrebtii , David A. Campbell , Ben Calderhead , Mark A. Girolami

A general input-output modelling technique for aperiodic-sampling linear systems has been developed. The procedure describes the dynamics of the system and includes the sequence of sampling periods among the variables to be handled. Some…

离散数学 · 计算机科学 2016-08-14 Amparo Fúster-Sabater , J. M. Guillén

This paper deals with the problem of designing a distributed fault detection and isolation algorithm for nonlinear large-scale systems that are subjected to multiple fault modes. To solve this problem, a network of communicating detection…

系统与控制 · 计算机科学 2016-09-27 Elaheh Noursadeghi , Ioannis Raptis

Fitting model parameters to experimental data is a common yet often challenging task, especially if the model contains many parameters. Typically, algorithms get lost in regions of parameter space in which the model is unresponsive to…

统计力学 · 物理学 2012-01-31 M. K. Transtrum , B. B. Machta , J. P. Sethna

This work develops a class of probabilistic algorithms for the numerical solution of nonlinear, time-dependent partial differential equations (PDEs). Current state-of-the-art PDE solvers treat the space- and time-dimensions separately,…

数值分析 · 数学 2022-03-10 Nicholas Krämer , Jonathan Schmidt , Philipp Hennig

In this paper, we propose to consider various models of pattern recognition. At the same time, it is proposed to consider models in the form of two operators: a recognizing operator and a decision rule. Algebraic operations are introduced…

计算机视觉与模式识别 · 计算机科学 2024-02-14 Anvar Kabulov , Alimdzhan Babadzhanov , Islambek Saymanov

In this paper, an original result in terms of a sufficient condition to test identifiability of nonlinear delayed-differential models with constant delays and multi-inputs is given. The identifiability is studied for the linearized system…

动力系统 · 数学 2010-09-10 Carine Jauberthie , Louise Travé-Massuyès

A novel adaptive identifier is developed for nonlinear time-delay systems composed of linear, Lipschitz and non-Lipschitz components. To begin with, an identifier is designed for uncertain systems with a priori known delay values, and then…

系统与控制 · 电气工程与系统科学 2020-05-06 Igor Furtat , Yury Orlov

In this paper, we develop a system identification algorithm to identify a model for unknown linear quantum systems driven by time-varying coherent states, based on empirical single-shot continuous homodyne measurement data of the system's…

量子物理 · 物理学 2020-12-14 H. I. Nurdin , N. H. Amini , J. Chen

We discuss the problem how to determine the quality of a nonlinear system with respect to a measurement task. Due to amplification, filtering, quantization and internal noise sources physical measurement equipment in general exhibits a…

信息论 · 计算机科学 2016-11-17 Manuel Stein , Josef A. Nossek , Kurt Barbé