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This paper proposes a new methodology in linear time-periodic (LTP) system identification. In contrast to previous methods that totally separate dynamics at different tag times for identification, the method focuses on imposing appropriate…

系统与控制 · 电气工程与系统科学 2021-11-10 Mingzhou Yin , Andrea Iannelli , Mohammad Khosravi , Anilkumar Parsi , Roy S. Smith

The Sparse Identification of Nonlinear Dynamics (SINDy) framework is a robust method for identifying governing equations, successfully applied to ordinary, partial, and stochastic differential equations. In this work we extend SINDy to…

数值分析 · 数学 2024-12-19 Alessandro Pecile , Nicola Demo , Marco Tezzele , Gianluigi Rozza , Dimitri Breda

There is growing interest in anticipating critical transitions in natural systems, often pursued through statistical detection of early warning signals associated with dynamical bifurcations. In stochastic dynamical systems, such signals…

In this paper, stability analysis of time delay systems is considered based on decomposition of the systems to subsystems. The decomposition process needs matrices of these systems to be simultaneously block triangularize. We show that a…

最优化与控制 · 数学 2016-11-29 Mohammad Mousa-Abadian , Sayed Hodjatollah Momeni-Masuleh , Mohammad Haeri

Dynamical systems are used to model a variety of phenomena in which the bifurcation structure is a fundamental characteristic. Here we propose a statistical machine-learning approach to derive lowdimensional models that automatically…

定量方法 · 定量生物学 2015-06-11 Yohei Kondo , Kunihiko Kaneko , Shuji Ishihara

It is well known that discrete-time linear systems can be stabilized by a least-squares (LS) based self-tuning regulator (STR), as long as noises are absent. However, this note shows that once the discrete-time linear systems are disturbed,…

最优化与控制 · 数学 2019-01-09 Shuai Xu , Chanying Li

Dynamical systems can autonomously adapt their organization so that the required target dynamics is reproduced. In the previous Rapid Communication [Phys. Rev. E 90,030901(R) (2014)], it was shown how such systems can be designed using…

适应与自组织系统 · 物理学 2016-11-04 Pablo Kaluza , Alexander S. Mikhailov

The control properties of discrete-time switched linear systems (SLS) with switching signals generated by logical dynamic systems are studied using the semi-tensor product (STP) approach. With the algebraic state space representation…

系统与控制 · 电气工程与系统科学 2024-01-08 Xiao Zhang , Min Meng , Zhengping Ji

In this paper, we present an optimal filter for linear time-varying continuous-time stochastic systems that simultaneously estimates the states and unknown inputs in an unbiased minimum-variance sense. We first show that the unknown inputs…

最优化与控制 · 数学 2016-11-17 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

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

In many computational tasks and dynamical systems, asynchrony and randomization are naturally present and have been considered as ways to increase the speed and reduce the cost of computation while compromising the accuracy and convergence…

机器学习 · 计算机科学 2020-12-09 Sahin Lale , Oguzhan Teke , Babak Hassibi , Anima Anandkumar

In this contribution, we propose a kernel-based method for the identification of linear systems from noisy and incomplete input-output datasets. We model the impulse response of the system as a Gaussian process whose covariance matrix is…

系统与控制 · 计算机科学 2017-01-18 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

In continuous-time system identification, the intersample behavior of the input signal is known to play a crucial role in the performance of estimation methods. One common input behavior assumption is that the spectrum of the input is…

系统与控制 · 电气工程与系统科学 2021-03-22 Rodrigo A. González , Cristian R. Rojas , Håkan Hjalmarsson

This paper is concerned with identifying linear system dynamics without the knowledge of individual system trajectories, but from the knowledge of the system's reachable sets observed at different times. Motivated by a scenario where the…

系统与控制 · 电气工程与系统科学 2023-09-11 Taha Shafa , Roy Dong , Melkior Ornik

A new Bayesian approach to linear system identification has been proposed in a series of recent papers. The main idea is to frame linear system identification as predictor estimation in an infinite dimensional space, with the aid of…

机器学习 · 统计学 2015-07-03 Diego Romeres , Gianluigi Pillonetto , Alessandro Chiuso

Fast-sampled models are essential for control design, e.g., to address intersample behavior. The aim of this paper is to develop a non-parametric identification technique for fast-sampled models of systems that have relevant dynamics and…

系统与控制 · 电气工程与系统科学 2023-06-08 Max van Haren , Leonid Mirkin , Lennart Blanken , Tom Oomen

This paper introduces a novel recursive distributed estimation algorithm aimed at synthesizing input and state interval observers for nonlinear bounded-error discrete-time multi-agent systems. The considered systems have sensors and…

系统与控制 · 电气工程与系统科学 2024-09-21 Mohammad Khajenejad , Scott Brown , Sonia Martinez

This paper addresses the problem of identifying a linear time-varying (LTV) system characterized by a (possibly infinite) discrete set of delays and Doppler shifts. We prove that stable identifiability is possible if the upper uniform…

信息论 · 计算机科学 2015-04-21 Céline Aubel , Helmut Bölcskei

This paper presents a data-driven algorithm for simultaneous system identification and parameter estimation in control-affine nonlinear systems. Parameter estimation is achieved by training a data-driven predictive model using state-action…

最优化与控制 · 数学 2026-04-28 Moad Abudia , Opeyemi Owolabi , Joel A. Rosenfeld , Rushikesh Kamalapurkar

The present paper considers the model-based and data-driven control of unknown linear time-invariant discrete-time systems under event-triggering and self-triggering transmission schemes. To this end, we begin by presenting a dynamic…

系统与控制 · 电气工程与系统科学 2023-09-15 Xin Wang , Julian Berberich , Jian Sun , Gang Wang , Frank Allgöwer , Jie Chen