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We present a method that connects a well-established nonlinear (bilinear) identification method from time-domain data with neural network (NNs) advantages. The main challenge for fitting bilinear systems is the accurate recovery of the…

While the asymptotic stability of positive linear systems in the presence of bounded time delays has been thoroughly investigated, the theory for nonlinear positive systems is considerably less well-developed. This paper presents a set of…

系统与控制 · 计算机科学 2016-11-18 Hamid Reza Feyzmahdavian , Themistoklis Charalambous , Mikael Johansson

Distinguishability and, by extension, observability are key properties of dynamical systems. Establishing these properties is challenging, especially when no analytical model is available and they are to be inferred directly from…

系统与控制 · 电气工程与系统科学 2024-06-10 Pierre-François Massiani , Mona Buisson-Fenet , Friedrich Solowjow , Florent Di Meglio , Sebastian Trimpe

There is a growing interest in data-driven control of nonlinear systems over the last years. In contrast to related works, this paper takes a step back and aims to solve the output matching problem, a problem closely related to the…

最优化与控制 · 数学 2023-02-27 Leander Hemelhof , Ivan Markovsky , Panagiotis Patrinos

This paper introduces a novel optimization-based approach for parametric nonlinear system identification. Building upon the prediction error method framework, traditionally used for linear system identification, we extend its capabilities…

最优化与控制 · 数学 2024-03-27 Léo Simpson , Jonas Asprion , Simon Muntwiler , Johannes Köhler , Moritz Diehl

In this paper we examine the model matching problem that concerns nonlinear input - output discrete systems, containing products among delays of input and output signals, through a special factorization. The algebraic framework of $\de…

最优化与控制 · 数学 2007-05-23 S. Kotsios

Recently, sufficient conditions of stability or instability for time-delay systems have been proven to be necessary. In this way, a remarkable necessary and sufficient condition has then been developed by Gomez et al. It is presented as a…

最优化与控制 · 数学 2022-05-09 Mathieu Bajodek , Frédéric Gouaisbaut , Alexandre Seuret

This paper introduces a new method for assessing the boundedness and stability of certain vector nonlinear systems with delays and variable coefficients. The approach is based on developing scalar counterparts to the given vector systems.…

最优化与控制 · 数学 2024-10-29 Mark A. Pinsky

This paper discusses the robustness of the constant-delay predictor feedback in the case of an uncertain time-varying input delay. Specifically, we study the stability of the closed-loop system when the predictor feedback is designed based…

最优化与控制 · 数学 2019-08-29 Hugo Lhachemi , Christophe Prieur , Robert Shorten

An important problem in biological modeling is choosing the right model. Given experimental data, one is supposed to find the best mathematical representation to describe the real-world phenomena. However, there may not be a unique model…

动力系统 · 数学 2024-07-03 Cashous Bortner , Nicolette Meshkat

Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero.…

最优化与控制 · 数学 2016-01-05 Anton Ponomarev

How to make a dynamic system unidentifiable is an important but still open issue. It not only requires that the parameters of the systems but also the equivalent systems cannot be identified by any identification approaches. Thus, it is a…

系统与控制 · 电气工程与系统科学 2023-08-31 Xiangyu Mao , Jianping He

We study identification and inference in nonlinear dynamic systems defined on unknown interaction networks. The system evolves through an unobserved dependence matrix governing cross-sectional shock propagation via a nonlinear operator. We…

机器学习 · 统计学 2026-04-08 Diego Vallarino

We analyze the problem of network identifiability with nonlinear functions associated with the edges. We consider a static model for the output of each node and by assuming a perfect identification of the function associated with the…

最优化与控制 · 数学 2023-09-14 Renato Vizuete , Julien M. Hendrickx

We present the linear-stability analysis of synchronised states in coupled time-delay systems. There exists a synchronisation threshold, for which we derive upper bounds, which does not depend on the delay time. We prove that at least for…

chao-dyn · 物理学 2009-10-31 Martin J. Bünner , Wolfram Just

Systems with time delay play an important role in modeling of many physical and biological processes. In this paper we describe generic properties of systems with time delay, which are related to the appearance and stability of periodic…

混沌动力学 · 物理学 2015-05-13 S. Yanchuk , P. Perlikowski

Is it possible to understand the intricacies of a dynamical system not solely from its input/output pattern, but also by observing the behavior of other systems within the same class? This central question drives the study presented in this…

系统与控制 · 电气工程与系统科学 2023-12-21 Marco Forgione , Filippo Pura , Dario Piga

System identification is a common tool for estimating (linear) plant models as a basis for model-based predictive control and optimization. The current challenges in process industry, however, ask for data-driven modelling techniques that…

系统与控制 · 计算机科学 2018-02-06 Paul M. J. Van den Hof , Arne G. Dankers , Harm H. M. Weerts

In this work, a new two-stage identification method based on dynamic programming and sparsity inducing is proposed for switched linear systems. Our method achieves sparsity inducing in the identification of switched linear systems by the…

系统与控制 · 电气工程与系统科学 2024-07-15 Zheng Wenju , Ye Hao

This paper extends the application of a recently proposed nonlinear observer (cubic observer) for state estimation of linear systems with unknown inputs and delays. The generalized structure proposed here, makes it possible to establish a…

最优化与控制 · 数学 2019-12-24 Mohammad Mahdi Share Pasand
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