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A joint characterisation of the controllability and observability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

Dynamical Systems · Mathematics 2010-06-14 Amparo Fúster-Sabater , J. M. Guillén

Despite being a foundational concept of modern systems theory, there have been few studies on observability of non-linear stochastic systems under partial observations. In this paper, we introduce a definition of observability for…

Probability · Mathematics 2022-12-08 Curtis McDonald , Serdar Yuksel

We present a framework to control and track the observables of a general solid state system driven by an incident laser field. The main result is a non-linear equation of motion for tracking an observable, together with a constraint on the…

Quantum Physics · Physics 2020-05-13 Gerard McCaul , Christopher Orthodoxou , Kurt Jacobs , George H. Booth , Denys I. Bondar

This paper deals with the stabilization of linear systems with process noise under packet drops between the sensor and the controller. Our aim is to ensure exponential convergence of the second moment of the plant state to a given bound in…

Optimization and Control · Mathematics 2017-07-14 Pavankumar Tallapragada , Massimo Franceschetti , Jorge Cortes

This paper provides a new observer design methodology for invariant systems whose state evolves on a Lie group with outputs in a collection of related homogeneous spaces and where the measurement of system input is corrupted by an unknown…

Systems and Control · Computer Science 2015-07-15 Alireza Khosravian , Jochen Trumpf , Robert Mahony , Christian Lageman

In this paper, a general framework is proposed for the analysis and characterization of observability and diagnosability of finite state systems. Observability corresponds to the reconstruction of the system's discrete state, while…

Optimization and Control · Mathematics 2016-11-28 Elena De Santis , Maria Domenica Di Benedetto

This paper presents a new estimator of the intercept of a linear regression model in cases where the outcome varaible is observed subject to a selection rule. The intercept is often in this context of inherent interest; for example, in a…

Econometrics · Economics 2018-09-26 Chuan Goh

This paper is concerned with the leader-following output consensus problem in the framework of distributed nonlinear observers. In stead of certain hypotheses on the leader system, a group of geometric conditions is put forward to develop a…

Optimization and Control · Mathematics 2020-07-09 Haotian Xu , Jingcheng Wang , Bohui Wang , Hongyuan Wang , Ibrahim Brahmia

Irreversibility is commonly quantified by entropy production. An external observer can estimate it through measuring an observable that is antisymmetric under time-reversal like a current. We introduce a general framework that, inter alia,…

Statistical Mechanics · Physics 2023-07-05 Jann van der Meer , Julius Degünther , Udo Seifert

In control theory, researchers need to understand a system's local and global behaviors in relation to its initial conditions. When discussing observability, the main focus is on the ability to analyze the system using an output space…

Optimization and Control · Mathematics 2025-03-26 Thiago Matheus Cavalheiro , Alexandre José Santana , Victor Ayala

In this work, sample-based observability of linear discrete-time systems is studied. That is, we consider the case where the system output measurements are not available at every time instance. It is shown that some discrete-time systems…

Systems and Control · Electrical Eng. & Systems 2023-04-26 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

In this paper we propose a new observability property for nonautonomous linear control systems in finite dimension: the nonuniform complete observability, which is more general than the uniform complete observability. A dual relationship is…

Optimization and Control · Mathematics 2025-08-14 Ignacio Huerta , Pablo Monzón

An adaptive state observer is proposed for a class of overparametrized uncertain linear time-invariant systems without restrictive requirement of their representation in the observer canonical form. It evolves the method of generalized…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

This paper explores the problem of selecting sensor nodes for a general class of nonlinear dynamical networks. In particular, we study the problem by utilizing altered definitions of observability and open-loop lifted observers. The…

Systems and Control · Electrical Eng. & Systems 2023-07-17 Mohamad H. Kazma , Sebastian A. Nugroho , Aleksandar Haber , Ahmad F. Taha

We propose new entanglement measures as the detection performance based on the hypothesis testing setting. We clarify how our measures work for detecting an entangled state by extending the quantum Sanov theorem. Our analysis covers the…

Quantum Physics · Physics 2025-01-08 Masahito Hayashi , Yuki Ito

Founding our analysis on the Geneva-Brussels approach to the foundations of physics, we provide a clarification and classification of the key concept of observation. An entity can be observed with or without a scope. In the second case, the…

Quantum Physics · Physics 2015-03-19 Massimiliano Sassoli de Bianchi

In this paper, we explore the conditions for asymptotic stability of the hybrid closed-loop system resulting from the interconnection of a nonlinear plant, an intelligent sensor that generates finite-time convergent estimates of the plant…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Xuanzhi Zhu , Pedro Casau , Carlos Silvestre

In this paper, we develop a semiparametric sensitivity analysis approach designed to address unmeasured confounding in observational studies with time-to-event outcomes. We target estimation of the marginal distributions of potential…

Methodology · Statistics 2025-11-21 Linda Amoafo , Shiyao Xu , Elizabeth Platz , Daniel Scharfstein

This paper presents a data-driven approach for designing state observers for continuous-time nonlinear systems, where an extended dynamic mode decomposition (EDMD) procedure is used to identify an approximate linear lifted model. Since such…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Xiuzhen Ye , Wentao Tang

This paper revisits the event-triggered control problem from a data-driven perspective, where unknown continuous-time linear systems subject to disturbances are taken into account. Using data information collected off-line instead of…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Tao Xu , Zhiyong Sun , Guanghui Wen , Zhisheng Duan
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