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A novel approach to the problem of partial state estimation of nonlinear systems is proposed. The main idea is to translate the state estimation problem into one of estimation of constant, unknown parameters related to the systems initial…

Systems and Control · Computer Science 2016-04-08 Ortega Romeo , Bobtsov Alexey , Pyrkin Anton , Aranovskiy Stanislav

Consider an n-dimensional linear system where it is known that there are at most k<n non-zero components in the initial state. The observability problem, that is the recovery of the initial state, for such a system is considered. We obtain…

Information Theory · Computer Science 2012-04-17 Wei Dai , Serdar Yüksel

Specially customised Entropies are widely applied in measuring the degree of uncertainties existing in the frame of discernment. However, all of these entropies regard the frame as a whole that has already been determined which dose not…

Artificial Intelligence · Computer Science 2021-02-26 Yuanpeng He

This paper studies the local observability of synchronous machines using a unified approach. Recently, motion sensorless control of electrical drives has gained high interest. The main challenge for such a technology is the poor performance…

Optimization and Control · Mathematics 2015-12-14 Mohamad Koteich , Abdelmalek Maloum , Gilles Duc , Guillaume Sandou

It is common to assume in empirical research that observables and unobservables are additively separable, especially, when the former are endogenous. This is done because it is widely recognized that identification and estimation challenges…

Statistics Theory · Mathematics 2021-04-02 Andrii Babii , Jean-Pierre Florens

This work presents the analytic solution of a fundamental open problem in the framework of nonlinear observability, which is the unknown input observability problem (UIO problem). The solution here provided holds in the case of a single…

Optimization and Control · Mathematics 2017-04-12 Agostino Martinelli

A new criterion is developed which provides a check as to whether a chosen set of polarization observables is complete with respect to the determination of all independent $T$-matrix elements of a reaction of the type $a+b\to c+d+...$. As…

Nuclear Theory · Physics 2009-10-31 Hartmuth Arenhoevel , Winfried Leidemann , Edward L. Tomusiak

An observability problem for linear autonomous distributed systems in the class of linear operations is considered. A criterion of observability with respect to terminal state has been proved. A connection with observability with respect to…

solv-int · Physics 2008-02-03 B. Shklyar

In this paper, we investigate a class of information-flow security properties called opacity in partial-observed discrete-event systems. Roughly speaking, a system is said to be opaque if the intruder, which is modeled by a passive…

Systems and Control · Electrical Eng. & Systems 2022-04-01 Bohan Cui , Xiang Yin , Shaoyuan Li , Alessandro Giua

Continuous and discrete time systems possessing strange non-chaotic attractors are under investigation. It is demonstrated that unpredictable trajectories exist in the dynamics. A recent numerical technique, the sequential test, is utilized…

Chaotic Dynamics · Physics 2021-11-01 Marat Akhmet , Mehmet Onur Fen , Astrit Tola

We present a solution to the problem of understanding a system that produces a sequence of temporally ordered observations. Our solution is based on generating and interpreting a set of temporal decision rules. A temporal decision rule is a…

Machine Learning · Computer Science 2010-04-21 Kamran Karimi , Howard J. Hamilton

Algorithms of inference in a computer system oriented to input and semantic processing of text information are presented. Such inference is necessary for logical questions when the direct comparison of objects from a question and database…

Computation and Language · Computer Science 2012-02-02 Yuriy Ostapov

Determining the reachable set for a given nonlinear control system is crucial for system control and planning. However, computing such a set is impossible if the system's dynamics are not fully known. This paper is motivated by a scenario…

Optimization and Control · Mathematics 2021-08-26 Taha Shafa , Melkior Ornik

Interest point detection is a common task in various computer vision applications. Although a big variety of detector are developed so far computational efficiency of interest point based image analysis remains to be the problem. Current…

Computer Vision and Pattern Recognition · Computer Science 2010-03-23 Vitaly Pimenov

This paper focuses on learning efficient sensor allocations that ensure observability of unknown high-dimensional linear systems using only a small number of sensors. Existing methods either require an impractically large number of sensors…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Yuyang Zhang , Derya Cansever , Na Li

Analyzing data from dynamical systems often begins with creating a reconstruction of the trajectory based on one or more variables, but not all variables are suitable for reconstructing the trajectory. The concept of nonlinear observability…

Chaotic Dynamics · Physics 2018-10-25 Thomas L. Carroll

We provide algorithmically verifiable necessary and sufficient conditions for fundamental system theoretic properties of discrete time linear systems subject to data losses. More precisely, the systems in our modeling framework are subject…

Optimization and Control · Mathematics 2016-09-20 Raphael M. Jungers , W. P. M. H. Heemels , Atreyee Kundu

We define observability and detectability for linear switching systems as the possibility of reconstructing and respectively of asymptotically reconstructing the hybrid state of the system from the knowledge of the output for a suitable…

Dynamical Systems · Mathematics 2008-02-28 Elena De Santis , Maria Domenica Di Benedetto , Giordano Pola

We show that many bounded rationality patterns of choice can be alternatively represented as testable models of limited consideration, and we elicit the features of the associated unobserved consideration sets from the observed choice.…

Theoretical Economics · Economics 2024-03-08 Davide Carpentiere , Angelo Petralia

The system identification capabilities of a novel information-theoretic method are examined here. Specifically, this work uses information-theoretic metrics and vibration-based measurements to enhance damping estimation accuracy in…

Signal Processing · Electrical Eng. & Systems 2026-04-01 Marios Impraimakis , Feiyu Zhou , Andrew Plummer