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A research paper in this journal vol. 61, no. 3, pp. 427-434, 2012, by M. Darouach, provides a functional observer design for linear descriptor systems under the partial impulse observability condition. The observer design is correct, but…

Optimization and Control · Mathematics 2023-01-25 Juhi Jaiswal , Thomas Berger , Nutan Kumar Tomar

Observability is a fundamental structural property of any dynamic system and describes the possibility of reconstructing the state that characterizes the system from observing its inputs and outputs. Despite the huge effort made to study…

Optimization and Control · Mathematics 2022-03-31 Agostino Martinelli

In this paper, we introduce the concept of observability of targeted state variables for systems that may not be fully observable. For their estimation, we introduce and exemplify a deep filter, which is a neural network specifically…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Wei Kang , Liang Xu , Hong Zhou

Observability is a fundamental structural property of any dynamic system and describes the possibility of reconstructing the state that characterizes the system from observing its inputs and outputs. Despite the huge effort made to study…

Optimization and Control · Mathematics 2024-09-11 Agostino Martinelli

State estimation constitutes a core task in monitoring, supervision, and control of dynamic systems. This paper proposes a data-driven framework for the design of state observers for descriptor systems. Necessary and sufficient conditions…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Yuan Zhang , Yu Wang , Keke Huang , Zhongqi Sun , Tyrone Fernando

Control systems are exposed to unintentional errors, deliberate intrusions, false data injection attacks, and various other disruptions. In this paper we propose, justify, and illustrate a rule of thumb for detecting, or confirming the…

Methodology · Statistics 2018-06-19 Nadezhda Gribkova , Ričardas Zitikis

In this note, we propose a novel approach for a class of autonomous dynamical systems that allows, given some observations of the solutions, to identify its parameters and reconstruct the state vector. This approach relies on proving the…

Dynamical Systems · Mathematics 2024-08-22 Alicja B Kubik , Alain Rapaport , Benjamin Ivorra , Ángel M Ramos

This paper is concerned with identifying linear system dynamics without the knowledge of individual system trajectories, but from the knowledge of the system's reachable sets observed at different times. Motivated by a scenario where the…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Taha Shafa , Roy Dong , Melkior Ornik

We analyze the observability of motion estimates from the fusion of visual and inertial sensors. Because the model contains unknown parameters, such as sensor biases, the problem is usually cast as a mixed identification/filtering, and the…

Robotics · Computer Science 2015-04-28 Joshua Hernandez , Konstantine Tsotsos , Stefano Soatto

This paper concerns the distributed observer for the descriptor linear system. Unlike centralized descriptor system observers, in the case of distributed observers, each agent either finds it difficult to independently eliminate impulses,…

Dynamical Systems · Mathematics 2025-01-08 Shuai Liu , Haotian Xu

We consider a class of systems over finite alphabets with linear internal dynamics, finite-valued control inputs and finitely quantized outputs. We motivate the need for a new notion of observability and propose three new notions of output…

Optimization and Control · Mathematics 2016-07-13 Donglei Fan , Danielle C. Tarraf

We study the evolution of observables of dynamical systems. For linear systems, we show that observables satisfy a closed differential equation whose minimal order is determined by the dynamical system and observation operator. This yields…

Dynamical Systems · Mathematics 2026-03-24 Xinyu Liu , Dongbin Xiu

Observability is a modelling property that describes the possibility of inferring the internal state of a system from observations of its output. A related property, structural identifiability, refers to the theoretical possibility of…

Quantitative Methods · Quantitative Biology 2018-12-12 Alejandro F. Villaverde

Some studies of unconscious cognition rely on judgments of participants stating that they have "not seen" the critical stimulus (e.g., in a masked-priming experiment). Trials in which participants gave "not-seen" judgments are then treated…

Neurons and Cognition · Quantitative Biology 2014-05-23 Thomas Schmidt

Probing signal injection is a well-established technique to extract additional information from a weakly (or non) observable dynamical system. Using averaging theory, a framework to analyse such schemes for general nonlinear systems has…

Systems and Control · Computer Science 2019-11-20 Bowen Yi , Romeo Ortega , Houria Siguerdidjane , Juan E. Machado , Weidong Zhang

A joint characterization of reachability (controllability) and observability (constructibility) for linear SISO nonuniformly sampled discrete systems is presented. The work generalizes to the nonuniform sampling the criterion known for the…

Dynamical Systems · Mathematics 2010-05-21 Amparo Fúster-Sabater

The problem of unknown input observer design is considered for coupled PDE/ODE systems subject to incremental sector bounded nonlinearities and unknown boundary inputs. Assuming available measurements at the boundary of the distributed…

Optimization and Control · Mathematics 2022-12-01 Andrea Cristofaro , Francesco Ferrante

Distinguishability and, by extension, observability are key properties of dynamical systems. Establishing these properties is challenging, especially when no analytical model is available and they are to be inferred directly from…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Pierre-François Massiani , Mona Buisson-Fenet , Friedrich Solowjow , Florent Di Meglio , Sebastian Trimpe

The paper considers the design of a nonlinear dissipative impulsive observer based on non-periodic discrete-time measurements. Sufficient conditions are derived for (i) exponential convergence of the observer in absence of measurement…

Systems and Control · Electrical Eng. & Systems 2020-06-09 A. Schaum , P. Feketa , T. Meurer , J. A. Moreno

A central paradigm behind process semantics based on observability and testing is that the exact moment of occurring of an internal nondeterministic choice is unobservable. It is natural, therefore, for this property to hold when the…

Logic in Computer Science · Computer Science 2009-07-10 Sonja Georgievska , Suzana Andova
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