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This paper addresses the observability analysis and the optimal design of observation parameters in the presence of noisy measurements and parametric uncertainties. The main underlying frameworks are the nonlinear constrained moving horizon…

Systems and Control · Electrical Eng. & Systems 2021-02-05 Mazen Alamir

We present a model-centric diagnostic framework that treats training state as a latent variable and unifies a family of internal readouts -- head-gradient norms, confidence, entropy, margin, and related signals -- as anchor-relative…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Fangzheng Wu , Brian Summa

Sample-based observability characterizes the ability to reconstruct the internal state of a dynamical system by using limited output information, i.e., when measurements are only infrequently and/or irregularly available. In this work, we…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

Reliable predictions from systems biology models require knowing whether parameters can be estimated from available data, and with what certainty. Identifiability analysis reveals whether parameters are learnable in principle (structural…

In this paper we address the problem of adaptive state observation of affine-inthe-states time-varying systems with delayed measurements and unknown parameters. The development of the results proposed in the [Bobtsov et al. 2021a] and in…

Optimization and Control · Mathematics 2021-12-07 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Denis Efimov , Olga Kozachek

This paper presents two schemes to jointly estimate parameters and states of discrete-time nonlinear systems in the presence of bounded disturbances and noise and where the parameters belong to a known compact set. The schemes are based on…

Optimization and Control · Mathematics 2022-03-23 T. J. Meijer , V. S. Dolk , M. S. Chong , R. Postoyan , B. de Jager , D. Nešić , W. P. M. H. Heemels

We address the observability problem for ensembles that are described by probability distributions. The problem is to reconstruct a probability distribution of the initial state from the time-evolution of the probability distribution of the…

Optimization and Control · Mathematics 2015-07-09 Shen Zeng , Steffen Waldherr , Christian Ebenbauer , Frank Allgower

Given a set of measurements, observability characterizes the distinguishability of a system's initial state, whereas constructability focuses on the final state in a trajectory. In the presence of process and/or measurement noise, the…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Burak Boyacıoğlu , Floris van Breugel

We analyze the problem of reconstructing an unknown quantum state of a multipartite system from repeated measurements of local observables. In particular, via a system-theoretic observability analysis, we show that, even when the initial…

Quantum Physics · Physics 2025-09-23 Marco Peruzzo , Tommaso Grigoletto , Francesco Ticozzi

This paper addresses the aggregated monitoring problem for large-scale network systems with a few dedicated sensors. Full state estimation of such systems is often infeasible due to unobservability and/or computational infeasibility.…

Optimization and Control · Mathematics 2022-05-30 Muhammad Umar B. Niazi , Xiaodong Cheng , Carlos Canudas-de-Wit , Jacquelien M. A. Scherpen

This paper presents a closed-form notion of controllability and observability for systems with communication delays, actuation delays, and locality constraints. The formulation reduces to classical notions of controllability and…

Optimization and Control · Mathematics 2024-04-08 Lauren Conger , Yiheng Lin , Adam Wierman , Eric Mazumdar

We propose a unifying framework for characterizing pure and mixed state phases of matter across equilibrium, non equilibrium, and metastable regimes. We introduce the concept of locally stable states, defined by the operational property…

Quantum Physics · Physics 2026-05-04 Zhi Li , Raz Firanko , Timothy H. Hsieh

The modern framework of state transformers, i. e., the first Kraus representation of quantum measurement, is introduced and related both to the known textbook concepts and to measurement-interaction evolution (the second Kraus…

Quantum Physics · Physics 2007-05-23 Fedor Herbut

Combined modeling and verification of dynamic systems and the data they operate on has gained momentum in AI and in several application domains. We investigate the expressive yet concise framework of data-aware dynamic systems (DDS),…

Logic in Computer Science · Computer Science 2022-03-16 Paolo Felli , Marco Montali , Sarah Winkler

We define am axiomatic timeless framework for asynchronous distributed systems, together with well-formedness and consistency axioms, which unifies and generalizes the expressive power of current approaches. 1) It combines classic…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-26 Paulo Sérgio Almeida

The purpose of this paper is to present a universal approach to the study of controllability/observability problems for infinite dimensional systems governed by some stochastic/deterministic partial differential equations. The crucial…

Optimization and Control · Mathematics 2010-03-31 Xu Zhang

State and parameter estimation is essential for process monitoring and control. Observability plays an important role in both state and parameter estimation. In simultaneous state and parameter estimation, the parameters are often augmented…

Systems and Control · Electrical Eng. & Systems 2021-02-16 Jianbang Liu , Aristarchus Gnanasekar , Yi Zhang , Song Bo , Jinfeng Liu , Jingtao Hu , Tao Zou

Several concepts on the measure of observability, reachability, and robustness are defined and illustrated for both linear and nonlinear control systems. Defined by using computational dynamic optimization, these concepts are applicable to…

Optimization and Control · Mathematics 2009-07-17 Wei Kang , Liang Xu

This paper introduces the new concepts of Functional Controllability and Functional Stabilizability, and establishes their duality with Functional Observability and Functional Detectability, respectively. A Generalized Separation Principle…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Tyrone Fernando , Mohamed Darouach

This paper addresses the synthesis of interval observers for partially unknown nonlinear systems subject to bounded noise, aiming to simultaneously estimate system states and learn a model of the unknown dynamics. Our approach leverages…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Mohammad Khajenejad , Zeyuan Jin
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