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Closed-loop reference models have recently been proposed for states accessible adaptive systems. They have been shown to have improved transient response over their open loop counter parts. The results in the states accessible case are…

Optimization and Control · Mathematics 2012-11-29 Travis E. Gibson , Anuradha M. Annaswamy , Eugene Lavretsky

In this paper, we analyze the finite sample complexity of stochastic system identification using modern tools from machine learning and statistics. An unknown discrete-time linear system evolves over time under Gaussian noise without…

Machine Learning · Computer Science 2019-03-22 Anastasios Tsiamis , George J. Pappas

This paper proposes a novel parametric identification approach for linear systems using Deep Learning (DL) and the Modified Relay Feedback Test (MRFT). The proposed methodology utilizes MRFT to reveal distinguishing frequencies about an…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Abdulla Ayyad , Mohamad Chehadeh , Mohammad I. Awad , Yahya Zweiri

A simplified approach is proposed to investigate the continuous-time and discrete-time complementary sensitivity Bode integrals (CSBIs) in this note. For continuous-time feedback systems with unbounded frequency domain, the CSBI weighted by…

Systems and Control · Computer Science 2018-11-27 Neng Wan , Dapeng Li , Naira Hovakimyan

Blind identification is popular for modeling a system without the input information, such as in the research areas of structural health monitoring and audio signal processing. Existing blind identification methods have both advantages and…

Systems and Control · Electrical Eng. & Systems 2021-08-20 Runzhe Han , Christian Bohn , Georg Bauer

This paper proposes a system identification algorithm for systems with multi-rate sensors in a discrete-time framework. It is challenging to obtain an accurate mathematical model when the ratios of inputs and outputs are different in the…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Hiroshi Okajima , Risa Furukawa , Nobutomo Matsunaga

This note addresses identification of the $A$-matrix in continuous time linear dynamical systems on state-space form. If this matrix is partially known or known to have a sparse structure, such knowledge can be used to simplify the…

Systems and Control · Computer Science 2016-05-24 Zuogon Yue , Johan Thunberg , Jorge Goncalves

The need to model and analyse dynamic systems operating over complex data is ubiquitous in AI and neighboring areas, in particular business process management. Analysing such data-aware systems is a notoriously difficult problem, as they…

Logic in Computer Science · Computer Science 2023-10-20 Alessandro Gianola , Marco Montali , Sarah Winkler

A method for certifying exact input trackability for constrained discrete time linear systems is introduced in this paper. A signal is assumed to be drawn from a reference set and the system must track this signal with a linear combination…

Optimization and Control · Mathematics 2015-04-21 Tomasz T. Gorecki , Altuğ Bitlislioğlu , Giorgos Stathopoulos , Colin N. Jones

Despite rapid progress in live-imaging techniques, many complex biophysical and biochemical systems remain only partially observable, thus posing the challenge to identify valid theoretical models and estimate their parameters from an…

Biological Physics · Physics 2023-09-21 George Stepaniants , Alasdair D. Hastewell , Dominic J. Skinner , Jan F. Totz , Jörn Dunkel

We develop a formal framework for the behavioral comparison of linear systems across different time domains. We accomplish this by introducing the notion of system interpolation, which determines whether the input-state trajectories of a…

Optimization and Control · Mathematics 2026-02-26 Armin Pirastehzad , Bart Besselink

Recently, a novel system identification method based on invariant subspace theory is introduced, aiming to address the identification problem of continuous-time (CT) linear time-invariant (LTI) systems by combining time-domain and…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Jingze You , Chao Huang , Hao Zhang

A key ingredient to achieving intelligent behavior is physical understanding that equips robots with the ability to reason about the effects of their actions in a dynamic environment. Several methods have been proposed to learn dynamics…

Robotics · Computer Science 2020-01-24 David Millard , Eric Heiden , Shubham Agrawal , Gaurav S. Sukhatme

The identification of complex periodic windows in the two-dimensional parameter space of certain dynamical systems has recently attracted considerable interest. While for discrete systems, a discrimination between periodic and chaotic…

Chaotic Dynamics · Physics 2011-03-03 Yong Zou , Reik V. Donner , Jonathan F. Donges , Norbert Marwan , Jürgen Kurths

We introduce a class of linear compartmental models called identifiable path/cycle models which have the property that all of the monomial functions of parameters associated to the directed cycles and paths from input compartments to output…

Algebraic Geometry · Mathematics 2021-09-01 Cashous Bortner , Nicolette Meshkat

Autonomous systems embedded with machine learning modules often rely on deep neural networks for classifying different objects of interest in the environment or different actions or strategies to take for the system. Due to the…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Zhe Xu

An adaptive state observer is proposed for a class of overparametrized uncertain linear time-invariant systems without restrictive requirement of their representation in the observer canonical form. It evolves the method of generalized…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

This work proposes a new method for simultaneous probabilistic identification and control of an observable, fully-actuated mechanical system. Identification is achieved by conditioning stochastic process priors on observations of…

Machine Learning · Computer Science 2014-04-02 Jan-Peter Calliess , Antonis Papachristodoulou , Stephen J. Roberts

There are limitations on the extent to which manually constructed mathematical models can capture relevant aspects of legged locomotion. Even simple models for basic behaviors such as running involve non-integrable dynamics, requiring the…

Robotics · Computer Science 2015-01-23 İsmail Uyanık , Mustafa Mert Ankaralı , Noah J. Cowan , Ömer Morgül , Uluç Saranlı

The identification of a linear system model from data has wide applications in control theory. The existing work that provides finite sample guarantees for linear system identification typically uses data from a single long system…

Machine Learning · Statistics 2025-05-09 Lei Xin , Baike She , Qi Dou , George Chiu , Shreyas Sundaram
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