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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

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

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

We propose two distributed set-based observers using strip-based and set-propagation approaches for linear discrete-time dynamical systems with bounded modeling and measurement uncertainties. Both algorithms utilize a set-based diffusion…

Systems and Control · Electrical Eng. & Systems 2023-06-21 Amr Alanwar , Jagat Jyoti Rath , Hazem Said , Karl Henrik Johansson , Matthias Althoff

A method of designing observers and observer-based tracking controllers is proposed for nonlinear systems on manifolds via embedding into Euclidean space and transversal stabilization. Given a system on a manifold, we first embed the…

Optimization and Control · Mathematics 2018-06-19 Dong Eui Chang

Performing analysis, optimization and control using simulations of many-particle systems is computationally demanding when no macroscopic model for the dynamics of the variables of interest is available. In case observations on the…

Numerical Analysis · Mathematics 2017-12-25 Felix Dietrich , Gerta Köster , Hans-Joachim Bungartz

The safety monitoring for nonlinear dynamical systems with embedded neural network components is addressed in this paper. The interval-observer-based safety monitor is developed consisting of two auxiliary neural networks derived from the…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Tao Wang , Yapeng Li , Zihao Mo , Wesley Cooke , Weiming Xiang

Motivated by the increasing need to monitor safety-critical systems subject to uncertainties, a novel set-membership approach is proposed to estimate the state of a dynamical system with unknown-but-bounded exogenous inputs. The proposed…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Marvin Jesse , Dawei Sun , Inseok Hwang

There is an emerging trend in applying deep learning methods to control complex nonlinear systems. This paper considers enhancing the runtime safety of nonlinear systems controlled by neural networks in the presence of disturbance and…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Jianglin Lan , Siyuan Zhan , Ron Patton , Xianxian Zhao

We propose a simple method of constructing a system of differential equations of chaotic behavior based on the regression only from a scalar observable time-series data. The estimated system enables us to reconstruct invariant sets and…

Dynamical Systems · Mathematics 2022-09-28 Natsuki Tsutsumi , Kengo Nakai , Yoshitaka Saiki

In this work, a sampled-data nonlinear observer is designed using a continuous-time design coupled with an inter-sample output predictor. The proposed sampled-data observer is a hybrid system. It is shown that under certain conditions, the…

Optimization and Control · Mathematics 2008-02-01 Iasson Karafyllis , Costas Kravaris

In this paper we propose a new observer design technique for nonlinear systems. It combines the well-known Kazantzis-Kravaris-Luenberger observer and the recently introduced parameter estimation-based observer, which become special cases of…

Systems and Control · Computer Science 2018-07-12 Bowen Yi , Romeo Ortega , Weidong Zhang

Motivated by the need of observers that are both robust to disturbances and guarantee fast convergence to zero of the estimation error, we propose an observer for linear time-invariant systems with noisy output that consists of the…

Optimization and Control · Mathematics 2015-03-31 Yuchun Li , Ricardo G. Sanfelice

This paper provides a method for obtaining a continuous-time model of a target system in closed-loop from input-output data alone, in the case where no knowledge of the controllers nor excitation signals is available and I/O data may suffer…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Ichiro Maruta , Toshiharu Sugie

This paper studies the strong observability property and the reduced-order dead-beat observer design problem for a continuous bioreactor. New relationships between coexistence and strong observability, and checkable sufficient conditions…

Optimization and Control · Mathematics 2010-06-28 Iasson Karafyllis , Zhong-Ping Jiang

A symmetry-preserving, reduced-order state observer is presented for the unmeasured part of a system's state, where the nonlinear system dynamics exhibit symmetry under the action of a Lie group. Leveraging this symmetry with a moving…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jeremy W. Hopwood , Craig A. Woolsey

This paper is devoted to the design of full order proportional-integral observer for the state estimation of discrete-time linear time-invariant systems. In particular, explicit necessary and sufficient conditions are established for the…

Optimization and Control · Mathematics 2024-03-07 Konstadinos H. Kiritsis

We consider the problem of synthesizing a dynamic output-feedback controller for a linear system, using solely input-output data corrupted by measurement noise. To handle input-output data, an auxiliary representation of the original system…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Lidong Li , Andrea Bisoffi , Claudio De Persis , Nima Monshizadeh

The problem of leak detection in a pipeline with nonlinear friction is considered. A distributed observer-based method is proposed which applies a linearised, distributed adaptive observer design to the nonlinear model. The methodology is…

Systems and Control · Electrical Eng. & Systems 2025-03-28 Nils Christian Aars Wilhelmsen , Ole Morten Aamo

We consider the problem of designing almost optimal predictors for dynamical systems from a finite sequence of noisy observations and incomplete knowledge of the dynamics and the noise. We first discuss the properties of the optimal (Bayes)…

Chaotic Dynamics · Physics 2007-07-30 Marian Anghel , Ingo Steinwart
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