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A fully adaptive methodology is developed for reducing the complexity of large dissipative systems. This represents a significant step towards extracting essential physical knowledge from complex systems, by addressing the challenging…

Statistical Mechanics · Physics 2025-10-01 Eliodoro Chiavazzo , Ilya Karlin

Formal verification techniques play a pivotal role in ensuring the safety of complex cyber-physical systems. To transfer model-based verification results to the real world, we require that the measurements of the target system lie in the…

Systems and Control · Electrical Eng. & Systems 2025-08-07 Laura Lützow , Matthias Althoff

The intrinsic nature of a problem usually suggests a first suitable method to deal with it. Unfortunately, the apparent ease of application of these initial approaches may make their possible flaws seem to be inherent to the problem and…

Classical Analysis and ODEs · Mathematics 2022-02-17 Victoriano Carmona , Fernando Fernández-Sánchez

In current practice a formal analysis of hybrid system models is assertion-based. The work presented here is based on features that look beyond functional correctness toward a quantitative evaluation of behavioral attributes. A feature…

Logic in Computer Science · Computer Science 2019-02-25 Antonio Anastasio Bruto da Costa , Goran Frehse , Pallab Dasgupta

We consider a class of systems of difference equations defined on an elementary quadrilateral of the ${\mathbb{Z}}^2$ lattice, define their eliminable and dynamical variables, and demonstrate their use. Using the existence of infinite…

Exactly Solvable and Integrable Systems · Physics 2022-09-02 Louis Brady , Pavlos Xenitidis

We present necessary and sufficient optimality conditions for finite time optimal control problems for a class of hybrid systems described by linear complementarity models. Although these optimal control problems are difficult in general…

Optimization and Control · Mathematics 2016-10-11 Andreas B. Hempel , Paul Goulart , John Lygeros

In this paper, we consider the realization of configuration of limit cycles of piecewise linear systems on the plane. We show that any configuration of Jordan curves can be realized by a discontinuous piecewise linear system with two zones…

Classical Analysis and ODEs · Mathematics 2018-03-21 Shaoqing Wang , Jiazhong Yang

This paper proposes a method for identifying an initial gap in piecewise-linear systems from data. Piecewise-linear systems appear in many engineered systems such as degraded mechanical systems and infrastructures, and are known to show…

Applied Physics · Physics 2026-05-06 Ryosuke Kanki , Akira Saito

In this work, a new two-stage identification method based on dynamic programming and sparsity inducing is proposed for switched linear systems. Our method achieves sparsity inducing in the identification of switched linear systems by the…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Zheng Wenju , Ye Hao

In this thesis, we draw inspiration from both classical system identification and modern machine learning in order to solve estimation problems for real-world, physical systems. The main approach to estimation and learning adopted is…

Machine Learning · Computer Science 2024-09-23 Fredrik Bagge Carlson

This paper presents three main contributions to the field of multi-step system identification. First, drawing inspiration from Neural Network (NN) training, it introduces a tool for solving identification problems by leveraging first-order…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Cesare Donati , Martina Mammarella , Fabrizio Dabbene , Carlo Novara , Constantino Lagoa

Identifying the parameters of robotic systems, such as motor inertia or joint friction, is critical to satisfactory controller synthesis, model analysis, and observer design. Conventional identification techniques are designed primarily for…

Robotics · Computer Science 2024-08-19 Bohao Zhang , Daniel Haugk , Ram Vasudevan

This work presents a novel technique that integrates the methodologies of machine learning and system identification to solve multiclass problems. Such an approach allows to extract and select sets of representative features with reduced…

Machine Learning · Computer Science 2021-06-09 P. H. O. Silva , A. S. Cerqueira , E. G. Nepomuceno

We address the problem of learning linear system models from observing multiple trajectories from different system dynamics. This framework encompasses a collaborative scenario where several systems seeking to estimate their dynamics are…

Optimization and Control · Mathematics 2023-09-12 Leonardo F. Toso , Han Wang , James Anderson

Constrained Hamiltonian systems are investigated by using the Hamilton-Jacobi method. Integration of a set of equations of motion and the action function is discussed. It is shown that we have two types of integrable systems: a) ${\it…

High Energy Physics - Theory · Physics 2009-11-10 Sami I. Muslih

The system identification problem is to estimate dynamical parameters from the output data, obtained by performing measurements on the output fields. We investigate system identification for quantum linear systems. Our main objectives are…

Quantum Physics · Physics 2017-12-25 Matthew Levitt , Mădălin Guţă , Theodore Kypraios

We present a complexity reduction algorithm for a family of parameter-dependent linear systems when the system parameters belong to a compact semi-algebraic set. This algorithm potentially describes the underlying dynamical system with…

Systems and Control · Computer Science 2012-09-25 Farhad Farokhi , Henrik Sandberg , Karl H. Johansson

This paper deals with the problem of enforcing modular diagnosability for discrete-event systems that don't satisfy this property by their natural modularity. We introduce an approach to achieve this property combining existing modules into…

Systems and Control · Computer Science 2013-11-13 Dmitry Myadzelets , Andrea Paoli

The methods are proposed for evaluation of complex dynamical systems, choice of their optimal operating modes, determination of optimal operating system from given class of equivalent systems, system's timeline behaviour analysis on the…

Optimization and Control · Mathematics 2016-03-04 Dmytro Polishchuk , Olexandr Polishchuk

One of the outstanding challenges of cross-identification is multiplicity: detections in crowded regions of the sky are often linked to more than one candidate associations of similar likelihoods. We map the resulting maximum likelihood…

Instrumentation and Methods for Astrophysics · Physics 2016-09-21 Tamas Budavari , Amitabh Basu
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