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In this paper, we revisit the fault diagnosis problem of discrete-event systems (DES) under non-deterministic observations. Non-deterministic observation is a general observation model that includes the case of intermittent loss of…

Systems and Control · Electrical Eng. & Systems 2022-04-07 Weijie Dong , Shang Gao , Xiang Yin , Shaoyuan Li

This paper presents new results concerning the observer design for wide classes of nonlinear systems with both sampled and delayed measurements. By using a small gain approach we provide sufficient conditions, which involve both the delay…

Optimization and Control · Mathematics 2012-07-05 Tarek Ahmed-Ali , Iasson Karafyllis , Francoise Lamnabhi-Lagarrigue

This paper explores the observability and estimation capability of dynamical systems using predominantly relative measurements of the system's state-space variables, with minimal to no reliance on absolute measurements of these variables.…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Ioannis Raptis

The distributed observer design problem holds significant importance in cases in which the output information of a system is decentralized across different subsystems. Each subsystem has a local observer and access to one part of the…

Dynamical Systems · Mathematics 2024-02-13 Haotian Xu , Shuai Liu , Bohui Wang , Jingcheng Wang

This paper proposes an algebraic observer-based modulating function approach for linear time-variant systems and a class of nonlinear systems with discrete measurements. The underlying idea lies in constructing an observability…

Systems and Control · Electrical Eng. & Systems 2024-01-29 Matti Noack , Ibrahima N'Doye , Johann Reger , Taous-Meriem Laleg-Kirati

This paper studies the problem of state estimation for linear time-invariant descriptor systems in their most general form. The estimator is a system of ordinary differential equations (ODEs). We introduce the notion of partial causal…

Optimization and Control · Mathematics 2024-05-14 Juhi Jaiswal , Thomas Berger , Nutan K. Tomar

We consider the problem of distributed state estimation of a linear time-invariant (LTI) system by a network of sensors. We develop a distributed observer that guarantees asymptotic reconstruction of the state for the most general class of…

Systems and Control · Computer Science 2017-04-27 Aritra Mitra , Shreyas Sundaram

This is the second part of four series papers, aiming at the problem of sensor dynamics compensation for abstract linear systems. Two major issues are addressed. The first one is about the sensor dynamics compensation in system observation…

Systems and Control · Electrical Eng. & Systems 2020-09-04 Hongyinping Feng , Xiao-Hui Wu , Bao-Zhu Guo

This paper studies the contraction property of time-varying differential-algebraic equation (DAE) systems by embedding them to higher-dimension ordinary differential equation (ODE) systems. The first result pertains to the equivalence of…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Hao Yin , Bayu Jayawardhana , Stephan Trenn

This paper proposes a simple interval observer which can generate tighter interval estimates of variables in transient states than the standard interval observer. The simple nonlinear dynamics shrinks the estimated intervals to true state…

Optimization and Control · Mathematics 2020-04-03 Hiroshi Ito

The paper discusses fundamental detectability properties associated with the problem of distributed state estimation using networked observers. The main result of the paper establishes connections between detectability of the plant through…

Systems and Control · Computer Science 2014-01-28 V. Ugrinovskii

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less…

Optimization and Control · Mathematics 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

Problem of an adaptive state observer design for nonlinear system with unknown time-varying parameters and under condition of delayed measurements is considered. State observation problem was raised by many researchers (see for example Sanx…

Optimization and Control · Mathematics 2022-11-17 Olga Kozachek , Alexey Bobtsov , Nikolay Nikolaev

Differential algebraic equations (DAEs) describe the temporal evolution of systems that obey both differential and algebraic constraints. Of particular interest are systems that contain implicit relationships between their components, such…

Machine Learning · Computer Science 2025-07-23 James Koch , Madelyn Shapiro , Himanshu Sharma , Draguna Vrabie , Jan Drgona

In this paper we propose a detectability condition for nonlinear continuous-time systems with irregular/infrequent output measurements, namely a sample-based version of incremental integral input/output-to-state stability (i-iIOSS). We…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

Observability can determine which recorded variables of a given system are optimal for discriminating its different states. Quantifying observability requires knowledge of the equations governing the dynamics. These equations are often…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Christopher E. Gonzalez , Claudia Lainscsek , Terrence J. Sejnowski , Christophe Letellier

The estimation of the full state of a nonautonomous semilinear parabolic equation is achieved by a Luenberger type dynamical observer. The estimation is derived from an output given by a finite number of average measurements of the state on…

Analysis of PDEs · Mathematics 2025-03-10 Sérgio S. Rodrigues

In this paper, we study stateless and stateful physics-based anomaly detection scenarios via distributed estimation over sensor networks. In the stateful case, the detector keeps track of the sensor residuals (i.e., the difference of…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Mohammadreza Doostmohammadian , Themistoklis Charalambous

In this paper, we study jumps of nonlinear DAEs caused by inconsistent initial values. First, we propose a simple normal form called the index-1 nonlinear Weierstrass form (INWF) for nonlinear DAEs. Then we generalize the notion of…

Systems and Control · Electrical Eng. & Systems 2021-11-12 Yahao Chen , Stephan Trenn

Two combined methods for computing solutions of time-varying semilinear differential-algebraic equations (descriptor systems) are obtained. When constructing the methods, time-varying spectral projectors which can be found numerically are…

Numerical Analysis · Mathematics 2026-03-18 Maria Filipkovska