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Low complexity of a system model is essential for its use in real-time applications. However, sparse identification methods commonly have stringent requirements that exclude them from being applied in an industrial setting. In this paper,…

Systems and Control · Electrical Eng. & Systems 2022-03-24 Mark Haring , Esten Ingar Grøtli , Signe Riemer-Sørensen , Katrine Seel , Kristian Gaustad Hanssen

A new approach for enhancing the process-variation tolerance of digital circuits is described. We extend recent advances in statistical timing analysis into an optimization framework. Our objective is to reduce the performance variance of a…

Hardware Architecture · Computer Science 2011-11-09 Osama Neiroukh , Xiaoyu Song

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…

Quantitative Methods · Quantitative Biology 2015-06-11 Yohei Kondo , Kunihiko Kaneko , Shuji Ishihara

Motivated by emerging technologies for energy efficient analog computing and continuous-time processing, this paper proposes continuous-time minimum mean squared error estimation for multiple-input multiple-output (MIMO) systems based on an…

Information Theory · Computer Science 2022-09-05 Ayano Nakai-Kasai , Tadashi Wadayama

Dynamic mode decomposition (DMD) is a popular data-driven framework to extract linear dynamics from complex high-dimensional systems. In this work, we study the system identification properties of DMD. We first show that DMD is invariant…

Numerical Analysis · Mathematics 2021-09-15 Jan Heiland , Benjamin Unger

This paper proposes a probabilistic Bayesian formulation for system identification (ID) and estimation of nonseparable Hamiltonian systems using stochastic dynamic models. Nonseparable Hamiltonian systems arise in models from diverse…

Dynamical Systems · Mathematics 2022-09-19 Harsh Sharma , Nicholas Galioto , Alex A. Gorodetsky , Boris Kramer

In our recent work on iterative computation in hardware, we showed that arbitrary-precision solvers can perform more favorably than their traditional arithmetic equivalents when the latter's precisions are either under- or over-budgeted for…

Numerical Analysis · Mathematics 2020-10-20 He Li , Ian McInerney , James J. Davis , George A. Constantinides

For data-driven iterative learning control (ILC) methods, both the model estimation and controller design problems are converted to parameter estimation problems for some chosen model structures. It is well-known that if the model order is…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Xian Yu , Xiaozhu Fang , Biqiang Mu , Tianshi Chen

In this paper, an evolutionary-based sparse regression algorithm is proposed and applied onto experimental data collected from a Duffing oscillator setup and numerical simulation data. Our purpose is to identify the Coulomb friction terms…

Computational Engineering, Finance, and Science · Computer Science 2020-05-19 Saeideh Khatiry Goharoodi , Kevin Dekemele , Mia Loccufier , Luc Dupre , Guillaume Crevecoeur

Learning by interaction is the key to skill acquisition for most living organisms, which is formally called Reinforcement Learning (RL). RL is efficient in finding optimal policies for endowing complex systems with sophisticated behavior.…

Robotics · Computer Science 2025-11-21 Karim Farid , Nourhan Sakr

In this chapter, we introduce two interval observer designs for discrete-time (DT) and continuous-time (CT) nonlinear systems with bounded Jacobians that are affected by bounded uncertainties. Our proposed methods utilize the concepts of…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Mohammad Khajenejad , Tarun Pati , Sze Zheng Yong

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

This paper presents the full dynamic model of the UR10 industrial robot. A triple-stage identification approach is adopted to estimate the manipulator's dynamic coefficients. First, linear parameters are computed using a standard linear…

Robotics · Computer Science 2025-06-12 Vincenzo Petrone , Enrico Ferrentino , Pasquale Chiacchio

Interval approaches for the reachability analysis of initial value problems for sets of classical ordinary differential equations have been investigated and implemented by many researchers during the last decades. However, there exist…

Systems and Control · Electrical Eng. & Systems 2021-01-15 Andreas Rauh , Julia Kersten

This report presents the modeling results for three systems, two numerical and one experimental. In the numerical examples, we use mathematical models previously obtained in the literature as the systems to be identified. The first…

Systems and Control · Electrical Eng. & Systems 2021-07-05 Lucas A. Tavares , Petrus E. O. G. B. Abreu , Luis A. Aguirre

Off-line robot dynamic identification methods are mostly based on the use of the inverse dynamic model, which is linear with respect to the dynamic parameters. This model is sampled while the robot is tracking reference trajectories that…

Robotics · Computer Science 2010-09-24 Maxime Gautier , Alexandre Janot , Pierre-Olivier Vandanjon

The simulation of systems that act on multiple time scales is challenging. A stable integration of the fast dynamics requires a highly accurate approximation whereas for the simulation of the slow part, a coarser approximation is accurate…

Numerical Analysis · Mathematics 2024-06-21 Sina Ober-Blöbaum , Theresa Wenger , Tobias Gail , Sigrid Leyendecker

This manuscript presents novel techniques for identifying the switch states, phase identification, and estimation of equipment parameters in multi-phase low voltage electrical grids, which is a major challenge in long-standing German low…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Steven de Jongh , Felicitas Mueller , Fabian Osterberg , Claudio A. Cañizares , Thomas Leibfried , Kankar Bhattacharya

This paper considers a single-trajectory system identification problem for linear systems under general nonlinear and/or time-varying policies with i.i.d. random excitation noises. The problem is motivated by safe learning-based control for…

Optimization and Control · Mathematics 2023-06-21 Yingying Li , Tianpeng Zhang , Subhro Das , Jeff Shamma , Na Li

Walley's Imprecise Dirichlet Model (IDM) for categorical i.i.d. data extends the classical Dirichlet model to a set of priors. It overcomes several fundamental problems which other approaches to uncertainty suffer from. Yet, to be useful in…

Statistics Theory · Mathematics 2009-12-30 Marcus Hutter