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The paper deals with the observer design problem for a wide class of triangular nonlinear time-varying systems. The results of the present work generalize previous results in the literature dealing with the observer design problem for…

Optimization and Control · Mathematics 2014-03-17 Dimitris Boskos , John Tsinias

This paper introduces a framework for analyzing a general class of uncertain nonlinear discrete-time systems with given state-, control-, and disturbance constraints. In particular, we propose a set-theoretic generalization of the concept…

Optimization and Control · Mathematics 2020-04-08 Mario Eduardo Villanueva , Elena De Lazzari , Matthias Müller , Boris Houska

This paper addresses the problem of resilient state estimation and attack reconstruction for bounded-error nonlinear discrete-time systems with nonlinear observations/ constraints, where both sensors and actuators can be compromised by…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Mohammad Khajenejad , Zeyuan Jin , Thach Ngoc Dinh , Sze Zheng Yong

High-gain nonlinear observers occur in the nonlinear automatic control theory and are in standard usage in chemical engineering processes. We apply such a type of analysis in the context of a very simple one-gene regulation circuit. In…

Quantitative Methods · Quantitative Biology 2007-07-16 L. A. Torres , V. Ibarra-Junquera , P. Escalante-Minakata , H. C. Rosu

We develop a methodology to learn finitely generated random iterated function systems from time-series of partial observations using delay embeddings. We obtain a minimal model representation for the observed dynamics, using a hidden…

Dynamical Systems · Mathematics 2025-08-20 Emilia Gibson , Jeroen S. W. Lamb

We present a numerical method for learning the dynamics of slow components of unknown multiscale stochastic dynamical systems. While the governing equations of the systems are unknown, bursts of observation data of the slow variables are…

Machine Learning · Computer Science 2024-08-28 Yuan Chen , Dongbin Xiu

We first develop systematic and comprehensive interval observer designs for linear time-invariant (LTI) systems, under standard assumptions of observability and interval bounds on the initial condition and uncertainties. Traditionally, such…

Systems and Control · Electrical Eng. & Systems 2025-06-09 Thach Ngoc Dinh , Gia Quoc Bao Tran

This paper proposes a design methodology for non-linear state observers for invariant kinematic systems posed on finite dimensional connected Lie groups, and studies the associated fundamental system structure. The concept of synchrony of…

Optimization and Control · Mathematics 2008-05-08 C. Lageman , J. Trumpf , R. Mahony

This work deals with the problem of designing disturbance decupled observers for the estimation of a function of the states in nonlinear systems. Necessary and sufficient conditions for the existence of lower order disturbance decoupled…

Optimization and Control · Mathematics 2023-07-19 Sunjeev Venkateswaran , Costas Kravaris

This paper is devoted to analyzing the observer convergence rate for a class of linear control systems in a Hilbert space. To characterize the polynomial stability of the observer error system, we apply the spectral theory of linear…

Optimization and Control · Mathematics 2024-10-03 Alexander Zuyev , Julia Kalosha

In [1], it is established that a convergent observer with an infinite gain margin can be designed for a given nonlinear system when a Riemannian metric showing that the system is differentially detectable (i.e., the Lie derivative of the…

Optimization and Control · Mathematics 2016-06-21 Ricardo G. Sanfelice , Laurent Praly

This paper deals with the state estimation for max-plus linear systems. This estimation is carried out following the ideas of the observer method for classical linear systems. The system matrices are assumed to be known, and the observation…

Optimization and Control · Mathematics 2013-06-06 L. Hardouin , C. A. Maia , B. Cottenceau , M. Lhommeau

Various methods are nowadays available to design observers for broad classes of systems. Nevertheless, the question of the tuning of the observer to achieve satisfactory estimation performance remains largely open. This paper presents a…

Systems and Control · Electrical Eng. & Systems 2022-09-22 E. Petri , R. Postoyan , D. Astolfi , D. Nešić , V. Andrieu

This paper introduces a Distributed Unknown Input Observer (D-UIO) design methodology that uses a technique called node-wise detectability decomposition to estimate the state of a discrete-time linear time-invariant (LTI) system in a…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Franco Angelo Torchiaro , Gianfranco Gagliardi , Francesco Tedesco , Alessandro Casavola

This paper presents a first step towards tuning observers for general nonlinear systems. Relying on recent results around Kazantzis-Kravaris/Luenberger (KKL) observers, we propose an empirical criterion to guide the calibration of the…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Mona Buisson-Fenet , Lukas Bahr , Valery Morgenthaler , Florent Di Meglio

In this paper we give a geometrical framework for the design of observers on finite-dimensional Lie groups for systems which possess some specific symmetries. The design and the error (between true and estimated state) equation are explicit…

Optimization and Control · Mathematics 2016-11-15 S. Bonnabel , P. Martin , P. Rouchon

In this paper we introduce an observer design framework for ordinary differential equation (ODE) systems based on various types of existing or even novel one-parameter symmetries (exact, asymptotic and variational) ending up with a certain…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Stefano Battilotti

We consider the problem of reconstructing the state of a network of nonlinear dynamical systems in the presence of directed higher-order interactions. Grounded on analytical convergence results, we propose an algorithmic observer design…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Roberto Rizzello , Davide Salzano , Stefano Boccaletti , Pietro De Lellis

This paper discusses a general framework for designing robust state estimators for a class of discrete-time nonlinear systems. We consider systems that may be impacted by impulsive (sparse but otherwise arbitrary) measurement noise…

Optimization and Control · Mathematics 2026-05-13 Laurent Bako , Madiha Nadri , Vincent Andrieu , Qinghua Zhang

Nonlinear observer design for systems whose state space evolves on Lie groups is considered. The proposed method is similar to previously developed nonlinear observers in that it involves propagating the state estimate using a process model…

Systems and Control · Computer Science 2018-04-10 David Evan Zlotnik , James Richard Forbes