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Motivated by a recently proposed error estimator for the transfer function of the reduced-order model of a given linear dynamical system, we further develop more theoretical results in this work. Furthermore, we propose several variants of…

Numerical Analysis · Mathematics 2023-01-16 Lihong Feng , Peter Benner

In this paper, an approach to facilitate the treatment with variabilities in system families is presented by explicitly modelling variants. The proposed method of managing variability consists of a variant part, which models variants and a…

Software Engineering · Computer Science 2010-09-28 Shamim Hasnat Ripon , Kamrul Hasan Talukder , Khademul Islam Molla

In this paper, an approach to facilitate the treatment with variabilities in system families is presented by explicitly modelling variants. The proposed method of managing variability consists of a variant part, which models variants and a…

Software Engineering · Computer Science 2013-10-02 Shamim H. Ripon

Mobile manipulator throwing is a promising method to increase the flexibility and efficiency of dynamic manipulation in factories. Its major challenge is to efficiently plan a feasible throw under a wide set of task specifications. We show…

Robotics · Computer Science 2022-08-05 Yang Liu , Aradhana Nayak , Aude Billard

We study classical stochastic systems with discrete states, coupled to switching external environments. For fast environmental processes we derive reduced dynamics for the system itself, focusing on corrections to the adiabatic limit of…

Statistical Mechanics · Physics 2019-03-27 Peter G. Hufton , Yen Ting Lin , Tobias Galla

In this paper, nonlinear model reduction for power systems is performed by the balancing of empirical controllability and observability covariances that are calculated around the operating region. Unlike existing model reduction methods,…

Systems and Control · Computer Science 2016-08-30 Junjian Qi , Jianhui Wang , Hui Liu , Aleksandar D. Dimitrovski

In this paper we are interested in the problem of adaptive state observation of linear time-varying (LTV) systems where the system and the input matrices depend on unknown time-varying parameters. It is assumed that these parameters satisfy…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Anton Pyrkin , Alexey Bobtsov , Romeo Ortega , Alberto Isidori

We introduce a novel modeling approach for time series imputation and forecasting, tailored to address the challenges often encountered in real-world data, such as irregular samples, missing data, or unaligned measurements from multiple…

Model selection is a critical step in time series forecasting, traditionally requiring extensive performance evaluations across various datasets. Meta-learning approaches aim to automate this process, but they typically depend on…

Machine Learning · Computer Science 2025-04-04 Wang Wei , Tiankai Yang , Hongjie Chen , Ryan A. Rossi , Yue Zhao , Franck Dernoncourt , Hoda Eldardiry

Modeling of physical systems includes extensive use of software packages that implement the accurate finite element method for solving differential equations considered along with the appropriate initial and boundary conditions. When the…

Computational Engineering, Finance, and Science · Computer Science 2018-03-20 O. Kononenko , I. Kononenko

It is difficult to analyze the stability of systems with time-varying delays. One approach is to construct a time-transformation that converts the system into a form with a constant delay but with a time-varying scalar appearing in the…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Jungbae Chun , Sengiyumva Kisole , Matthew M. Peet , Peter Seiler

This paper considers the problem of real-time mode scheduling in linear time-varying switched systems subject to a quadratic cost functional. The execution time of hybrid control algorithms is often prohibitive for real-time applications…

Optimization and Control · Mathematics 2017-09-04 Anastasia Mavrommati , Jarvis A. Schultz , Todd D. Murphey

The reduction of dynamical systems has a rich history, with many important applications related to stability, control and verification. Reduction of nonlinear systems is typically performed in an exact manner - as is the case with…

Optimization and Control · Mathematics 2007-07-26 Paulo Tabuada , Aaron D. Ames , Agung Julius , George J. Pappas

Multivariate time series are ubiquitous objects in signal processing. Measuring a distance or similarity between two such objects is of prime interest in a variety of applications, including machine learning, but can be very difficult as…

Machine Learning · Statistics 2022-11-02 Titouan Vayer , Romain Tavenard , Laetitia Chapel , Nicolas Courty , Rémi Flamary , Yann Soullard

Trajectory planning in autonomous driving is highly dependent on predicting the emergent behavior of other road users. Learning-based methods are currently showing impressive results in simulation-based challenges, with transformer-based…

Machine Learning · Computer Science 2024-08-08 Lars Ullrich , Alex McMaster , Knut Graichen

Time-varying optical materials have attracted recent interest for their potential to enable frequency conversion, nonreciprocal physics, photonic time-crystals, and more. However, the description of time-varying materials has been primarily…

This paper investigates the problem of regulating in real time a linear dynamical system to the solution trajectory of a time-varying constrained convex optimization problem. The proposed feedback controller is based on an adaptation of the…

Optimization and Control · Mathematics 2021-09-13 Gianluca Bianchin , Jorge Cortes , Jorge I. Poveda , Emiliano Dall'Anese

This paper explores the properties of adaptive systems with closed-loop reference models. Using additional design freedom available in closed-loop reference models, we design new adaptive controllers that are (a) stable, and (b) have…

Optimization and Control · Mathematics 2012-10-31 Travis E. Gibson , Anuradha M. Annaswamy , Eugene Lavretsky

Directional motion towards a specified destination is a common occurrence in physical processes and human societal activities. Utilizing this prior information can significantly improve the control and predictive performance of system…

Systems and Control · Electrical Eng. & Systems 2024-03-27 Xiaowei Yang , Haiqi Liu , Fanqin Meng , Xiaojing Shen

The machinery is suggested to describe the varying spacetime topology on the level of its substitutes by finite topological spaces.

General Relativity and Quantum Cosmology · Physics 2008-02-03 R. R. Zapatrin
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