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Parameter identifiability refers to the capability of accurately inferring the parameter values of a model from its observations (data). Traditional analysis methods exploit analytical properties of the closed form model, in particular…

机器学习 · 计算机科学 2024-12-30 Nikolaos Evangelou , Alexander M. Stankovic , Ioannis G. Kevrekidis , Mark K. Transtrum

The identification of dynamic parameters in mechanical systems is important for improving model-based control as well as for performing realistic dynamic simulations. Generally, when identification techniques are applied only a subset of…

机器人学 · 计算机科学 2026-03-17 Miguel Díaz-Rodríguez , Vicente Mata , Angel Valera , Alvaro Page

A key step in mechanistic modelling of dynamical systems is to conduct a structural identifiability analysis. This entails deducing which parameter combinations can be estimated from a given set of observed outputs. The standard…

最优化与控制 · 数学 2026-03-30 Johannes G Borgqvist , Alexander P Browning , Fredrik Ohlsson , Ruth E Baker

This paper presents a novel approach for the identification of linear time-periodic (LTP) systems in continuous time. This method is based on harmonic modeling and consists in converting any LTP system into an equivalent LTI system with…

系统与控制 · 电气工程与系统科学 2024-04-18 Flora Vernerey , Pierre Riedinger , Andrea Iannelli , Jamal Daafouz

We derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. To study the effect of parameter mismatch on the stability in a general fashion, we define master stability equations and…

混沌动力学 · 物理学 2015-05-13 Jie Sun , Erik M. Bollt , Takashi Nishikawa

We propose a framework to evaluate the so-called random-coding union bound with parameter $s$ (RCUs) on the achievable error probability in the finite-blocklength regime for a pilot-assisted transmission scheme operating over an imperfectly…

信息论 · 计算机科学 2024-09-10 A. Oguz Kislal , Madhavi Rajiv , Giuseppe Durisi , Erik G. Ström , Urbashi Mitra

In this work we demonstrate for an experimental system, that exhibits the Lorenz butterfly attractor behavior, that perfect chaotic phase synchronization cannot be achieved in systems with an unbounded distribution of intrinsic time scales.…

混沌动力学 · 物理学 2007-05-23 Antonio Pujol-Pere , Oscar Calvo , Manuel A. Matias , Juergen Kurths

One of the major open problems in machine learning is to characterize generalization in the overparameterized regime, where most traditional generalization bounds become inconsistent even for overparameterized linear regression. In many…

机器学习 · 计算机科学 2023-11-22 Jing Xu , Jiaye Teng , Yang Yuan , Andrew Chi-Chih Yao

An approach is presented for coupled chaotic systems, estimating an inferior bound value for the absolute phase difference, in order to say that phase synchronization is present. This approach shows that synchronicity in phase implies…

经典物理 · 物理学 2007-06-22 M. S. Baptista , T. Pereira , J. Kurths

We study the synchronization of a linear array of globally coupled identical logistic maps. We consider a time-delayed coupling that takes into account the finite velocity of propagation of the interactions. We find globally synchronized…

混沌动力学 · 物理学 2016-08-16 A. C. Martí , C. Masoller

A continuous adaptive control design is developed for nonlinear dynamical systems with linearly parameterizable uncertainty involving time-varying uncertain parameters. The key feature of this design is a robust integral of the sign of the…

系统与控制 · 电气工程与系统科学 2020-07-24 Omkar Sudhir Patil , Runhan Sun , Shubhendu Bhasin , Warren E. Dixon

This paper presents a novel theoretical framework for reducing the computational complexity of multi-model adaptive control/estimation systems through systematic transformation to controllable canonical form. While traditional multi-model…

系统与控制 · 电气工程与系统科学 2025-04-30 Farid Mafi , Ladan Khoshnevisan , Mohammad Pirani , Amir Khajepour

This paper studies the identification of nonlinearly parameterized control systems in given experiments. Several identifiability criteria are established and an implementable algorithm is proposed for practicality with the convergence rate…

最优化与控制 · 数学 2019-08-21 Chanying Li

The complexity of adaptive control of nonlinear time-varying systems requires the use of novel methods that have lower computational complexity as well as ensuring good performance under time-varying parameter changes. In this study, we use…

信号处理 · 电气工程与系统科学 2018-07-24 Hamid Khodabandehlou

In this paper we investigate a master-slave synchronization scheme of two n-dimensional non-autonomous chaotic systems coupled by sinusoidal state error feedback control, where parameter mismatch exists between the external harmonic…

混沌动力学 · 物理学 2009-09-30 Jianping Cai , Mihua Ma , Xiaofeng Wu

We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization to the driving trajectory is linearly stable to…

chao-dyn · 物理学 2009-10-30 Reggie Brown , Nikolai F. Rulkov

We investigate the processes of synchronization and phase ordering in a system of globally coupled maps possessing bistable, chaotic local dynamics. The stability boundaries of the synchronized states are determined on the space of…

混沌动力学 · 物理学 2014-02-21 O. Alvarez-Llamoza , M. G. Cosenza

The paper deals with joint state and parameter estimation for nonlinear continuous-time systems. Based on a guaranteed LPV approximation, the set adaptive observers design problem is solved avoiding the exponential complexity obstruction…

系统与控制 · 计算机科学 2010-12-06 Denis Efimov , Tarek Raïssi , Ali Zolghadri

Dynamical models identified from data are frequently employed in control system design. However, decoupling system identification from controller synthesis can result in situations where no suitable controller exists after a model has been…

系统与控制 · 电气工程与系统科学 2025-12-30 Sampath Kumar Mulagaleti , Alberto Bemporad

A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during…

混沌动力学 · 物理学 2015-07-02 A. V. Makarenko