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There is an emerging trend in applying deep learning methods to control complex nonlinear systems. This paper considers enhancing the runtime safety of nonlinear systems controlled by neural networks in the presence of disturbance and…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Jianglin Lan , Siyuan Zhan , Ron Patton , Xianxian Zhao

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…

Machine Learning · Statistics 2015-07-03 Diego Romeres , Gianluigi Pillonetto , Alessandro Chiuso

This paper presents new results that allow one to address the discrete-time general nonlinear robust control problem. The uncertain system is described by a general nonlinear function set characterized by the nominal model and the…

Optimization and Control · Mathematics 2020-12-03 Chaolun Lu , Yongqiang Li , Zijun Feng , Zhongsheng Hou , Yu Feng , Yuanjing Feng

We consider the identification of non-causal systems with random switching modes (NCSRSM), a class of models essential for describing typical power load management and department store inventory dynamics. The simultaneous identification of…

Systems and Control · Electrical Eng. & Systems 2025-03-19 Yanxin Zhang , Chengpu Yu , Filippo Fabiani

Researchers have identified various sources of tool positioning errors for articulated industrial robots and have proposed dedicated compensation strategies. However, these typically require individual, specialized experiments with separate…

Robotics · Computer Science 2026-01-26 Philip Tobuschat , Simon Duenser , Markus Bambach , Ivo Aschwanden

In recent years, modeling and analysis of interval-valued time series have garnered increasing attention in econometrics, finance, and statistics. However, these studies have predominantly focused on statistical inference in the forecasting…

Machine Learning · Statistics 2025-04-08 Wan Tian , Zhongfeng Qin

State-of-the-art digital circuit design tools almost exclusively rely on pure and inertial delay for timing simulations. While these provide reasonable estimations at very low execution time in the average case, their ability to cover…

Other Computer Science · Computer Science 2021-07-20 Jürgen Maier

In this study, we introduce a refined method for ascertaining error estimations in numerical simulations of dynamical systems via an innovative application of composition techniques. Our approach involves a dual application of a basic…

General Mathematics · Mathematics 2024-09-18 Ahmad Deeb , Denys Dutykh

In this paper, we investigate the problem of actuator selection for linear dynamical systems. We develop a framework to design a sparse actuator schedule for a given large-scale linear system with guaranteed performance bounds using…

Systems and Control · Computer Science 2020-06-04 Milad Siami , Alex Olshevsky , Ali Jadbabaie

We report on the measurement of detailed balance violation in a coupled, noise-driven linear electronic circuit consisting of two nominally identical RC elements that are coupled via a variable capacitance. The state variables are the…

Statistical Mechanics · Physics 2019-03-06 Juan Pablo Gonzalez , John C. Neu , Stephen W. Teitsworth

This article presents a unified approach to quadratic optimal control for both linear and nonlinear discrete-time systems, with a focus on trajectory tracking. The control strategy is based on minimizing a quadratic cost function that…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Igor Ladnik

This work considers special types of interval linear systems - overdetermined systems. Simply said these systems have more equations than variables. The solution set of an interval linear system is a collection of all solutions of all…

Numerical Analysis · Computer Science 2013-04-18 Jaroslav Horáček , Milan Hladík

This work is devoted to modelling and identification of the dynamics of the inter-sectoral balance of a macroeconomic system. An approach to the problem of specification and identification of a weakly formalized dynamical system is…

Dynamical Systems · Mathematics 2019-08-14 Olena Kostylenko , Helena Sofia Rodrigues , Delfim F. M. Torres

We are concerned with three types of uncertainties: probabilistic, possibilitistic and interval. By using possibility and necessity measures as an Interval Valued Probability Measure (IVPM), we present IVPM's interval expected values whose…

Optimization and Control · Mathematics 2008-01-25 Phantipa Thipwiwatpotjana , Weldon A. Lodwick

This paper presents a new robust fault and state estimation based on recursive least square filter for linear stochastic systems with unknown disturbances. The novel elements of the algorithm are : a simple, easily implementable, square…

Systems and Control · Computer Science 2013-06-20 Bessaoudi Talel , Ben Hmida Fayçal

We study the problem of identifying the dynamics of a linear system when one has access to samples generated by a similar (but not identical) system, in addition to data from the true system. We use a weighted least squares approach and…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Lei Xin , Lintao Ye , George Chiu , Shreyas Sundaram

This paper studies the problem of discrepancy estimates for pseudorandom vectors constructed by the elliptic curve congruential generator, particularly in the non-translational case. Two families of results are obtained. First, in a…

Number Theory · Mathematics 2026-05-21 Ziran Liu , Chung Pang Mok

The exact computation of orbits of discrete dynamical systems on the interval is considered. Therefore, a multiple-precision floating point approach based on error analysis is chosen and a general algorithm is presented. The correctness of…

Mathematical Software · Computer Science 2010-06-03 Christoph Spandl

We propose a model based on random dynamical systems (RDS) in information spaces (realized as rings of $p$-adic integers) which supports Buonomano's non-ergodic interpretation of quantum mechanics. In this model the memory system of an…

Mathematical Physics · Physics 2009-06-03 Daniel Dubischar , Volker Matthias Gundlach , Oliver Steinkamp , Andrei Khrennikov

This work addresses uncertainty quantification of electromagnetic devices determined by the eddy current problem. The multilevel Monte Carlo (MLMC) method is used for the treatment of uncertain parameters while the devices are discretized…

Computational Engineering, Finance, and Science · Computer Science 2020-03-24 Armin Galetzka , Zeger Bontinck , Ulrich Römer , Sebastian Schöps
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