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Verifying the performance of safety-critical, stochastic systems with complex noise distributions is difficult. We introduce a general procedure for the finite abstraction of nonlinear stochastic systems with non-standard (e.g., non-affine,…

Systems and Control · Electrical Eng. & Systems 2023-09-20 John Skovbekk , Luca Laurenti , Eric Frew , Morteza Lahijanian

General nonlinear continuous-time systems are considered for which its state is estimated via a packet-based communication network. We assume that the system has multiple sensor nodes, affected by measurement noise, which can transmit at…

Systems and Control · Electrical Eng. & Systems 2021-12-09 Koen J. A. Scheres , Michelle S. Chong , Romain Postoyan , W. P. Maurice H. Heemels

We study a diagnosis scheme to reliably detect the active mode of discrete-time, switched affine systems in the presence of measurement noise and asynchronous switching. The proposed scheme consists of two parts: (i) the construction of a…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Jingwei Dong , Arman Sharifi Kolarijani , Peyman Mohajerin Esfahani

This paper proposes a resilient state estimator for LTI discrete-time systems. The dynamic equation of the system is assumed to be affected by a bounded process noise. As to the available measurements, they are potentially corrupted by a…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Alexandre Kircher , Laurent Bako , Eric Blanco , Mohamed Benallouch

Data-driven, model-free analytics are natural choices for discovery and forecasting of complex, nonlinear systems. Methods that operate in the system state-space require either an explicit multidimensional state-space, or, one approximated…

Machine Learning · Statistics 2021-03-15 Joseph Park , Gerald M Pao , Erik Stabenau , George Sugihara , Thomas Lorimer

Compressive sampling has been widely used for sparse polynomial chaos (PC) approximation of stochastic functions. The recovery accuracy of compressive sampling highly depends on the incoherence properties of the measurement matrix. In this…

Computation · Statistics 2018-10-17 Negin Alemazkoor , Hadi Meidani

This paper addresses the problem of learning linear dynamical systems from noisy observations. In this setting, existing algorithms either yield biased parameter estimates or have large sample complexities. We resolve these issues by…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Yuyang Zhang , Xinhe Zhang , Jia Liu , Na Li

We study the noise delayed decay of unstable nonequilibrium states in nonlinear dynamical systems within the framework of the overdamped Brownian motion model. We give the exact expressions for the decay times of unstable states for…

Statistical Mechanics · Physics 2009-11-10 N. V. Agudov , R. Mannella , A. V. Safonov , B. Spagnolo

This paper studies the stability properties of stochastic differential equations subject to persistent noise (including the case of additive noise), which is noise that is present even at the equilibria of the underlying differential…

Dynamical Systems · Mathematics 2015-01-22 D. Mateos-Núñez , J. Cortés

We address security of the quantum key distribution scheme based on the noisy modulation of coherent states and investigate how it is robust against noise in the modulation regardless of the particular technical implementation. As the…

Quantum Physics · Physics 2010-03-02 Vladyslav C. Usenko , Radim Filip

Dynamic state and parameter estimation methods for dynamic security assessment in power systems are becoming increasingly important for system operators. Usually, the data used for this type of applications stems from phasor measurement…

Systems and Control · Electrical Eng. & Systems 2022-09-01 Nicolai Lorenz-Meyer , René Suchantke , Johannes Schiffer

In this study, we consider the experimentally-obtained, periodically-forced response of a nonlinear structure in the presence of process noise. Control-based continuation is used to measure both the stable and unstable periodic solutions…

Dynamical Systems · Mathematics 2021-02-17 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

Dissipativity is an input-output (IO) characterization of nonlinear systems that enables compositional robust control through Vidyasagar's Network Dissipativity Theorem (VDNT). However, determining the dissipativity of a system is an…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Amy K. Strong , Leila Bridgeman

We explore and formalize the task of synthesizing programs over noisy data, i.e., data that may contain corrupted input-output examples. By formalizing the concept of a Noise Source, an Input Source, and a prior distribution over programs,…

Programming Languages · Computer Science 2021-04-29 Shivam Handa , Martin Rinard

Privacy-preserving state estimation for linear time-invariant dynamical systems with crowd sensors is considered. At any time step, the estimator has access to measurements from a randomly selected sensor from a pool of sensors with…

Cryptography and Security · Computer Science 2026-05-21 Farhad Farokhi

A major goal of developing high-precision control of many-body quantum systems is to realise their potential as quantum computers. Probably the most significant obstacle in this direction is the problem of "decoherence": the extreme…

This paper presents a sound and complete fault detection approach for cyber-physical systems represented by hidden-mode switched affine models with time varying parametric uncertainty. The fault detection approach builds upon techniques…

Optimization and Control · Mathematics 2017-11-29 Farshad Harirchi , Necmiye Ozay

In this paper, the consensus problems of the continuous-time integrator systems under noisy measurements are considered. The measurement noises, which appear when agents measure their neighbors' states, are modeled to be multiplicative. By…

Optimization and Control · Mathematics 2013-04-22 Yuan-Hua Ni , Xun Li

Deep neural networks can memorize corrupted labels, making data quality critical for model performance, yet real-world datasets are frequently compromised by both label noise and input noise. This paper proposes a mutual information-based…

Machine Learning · Computer Science 2025-08-12 Jinghan Yang , Jiayu Weng

We address nonlocality of continuous variable systems in the presence of dissipation and noise. Three nonlocality tests have been considered, based on the measurement of displaced-parity, field-quadrature and pseudospin-operator,…

Quantum Physics · Physics 2009-11-11 Stefano Olivares , Matteo G. A. Paris