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This paper introduces a novel $\mathcal{H}_{\infty}$-optimal interval observer synthesis for bounded-error/uncertain locally Lipschitz nonlinear continuous-time (CT) and discrete-time (DT) systems with noisy nonlinear observations.…

Systems and Control · Electrical Eng. & Systems 2022-03-16 Mohammad Khajenejad , Sze Zheng Yong

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

Observability is a fundamental structural property of any dynamic system and describes the possibility of reconstructing the state that characterizes the system from observing its inputs and outputs. Despite the huge effort made to study…

Optimization and Control · Mathematics 2022-03-31 Agostino Martinelli

In this paper, we consider the problem of state-estimation in the presence of Denial-of-Service (DoS) attack. We formulate this problem as an state estimation problem for a plant with switching measured outputs. In the absence of attack,…

Optimization and Control · Mathematics 2019-07-26 Mohammad Naghnaeian

An adaptive observer is proposed to estimate the synaptic distribution between neurons asymptotically from the measurement of a part of the neuronal activity and a delayed neural field evolution model. The convergence of the observer is…

Optimization and Control · Mathematics 2024-03-14 Lucas Brivadis , Antoine Chaillet , Jean Auriol

In this paper we propose a new state observer design technique for nonlinear systems. It consists of an extension of the recently introduced parameter estimation-based observer, which is applicable for systems verifying a particular…

Dynamical Systems · Mathematics 2020-11-16 Romeo Ortega , Alexey Bobtsov , Nikolay Nikolaev , Johannes Schiffer , Denis Dochain

We derive an exact deterministic nonlinear observer to compute the continuous state of an inertial navigation system based on partial discrete measurements, the so-called strapdown problem. Nonlinear contraction is used as the main analysis…

Optimization and Control · Mathematics 2007-05-23 Yong Zhao , Jean-Jacques E. Slotine

The article deals with the problem of synthesis of an adaptive observer of state variables of a linear time-varying SISO dynamic system. It is assumed that the control signal and the output variable are measurable. It is assumed that the…

Dynamical Systems · Mathematics 2022-03-30 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Olga Slita , Olga Kozachek

Dynamical systems modeling is a core pillar of scientific inquiry across natural and life sciences. Increasingly, dynamical system models are learned from data, rendering identifiability a paramount concept. For systems that are not…

Machine Learning · Computer Science 2026-05-11 Cecilia Casolo , Sören Becker , Niki Kilbertus

The objective of this paper is to study detectability, observability and related Lyapunov-type theorems of linear discrete-time time-varying stochastic systems with multiplicative noise. Some new concepts such as uniform detectability,…

Optimization and Control · Mathematics 2015-09-16 Weihai Zhang , Wei Xing Zheng , Bor-Sen Chen

This paper presents an adaptive observer design for semilinear hyperbolic rolling contact ODE-PDE systems with uncertain friction characteristics parameterized by a matrix of unknown coefficients appearing in the nonlinear (and possibly…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Luigi Romano , Ole Morten Aamo , Miroslav Krstić , Jan Åslund , Erik Frisk

We consider a class of uncertain linear time-invariant overparametrized systems affected by bounded disturbances, which are described by a known exosystem with unknown initial conditions. For such systems an exponentially stable extended…

Systems and Control · Electrical Eng. & Systems 2024-02-14 Anton Glushchenko , Konstantin Lastochkin

This paper addresses the problem of distributed state estimation for discrete-time linear time-invariant systems. Building on the framework proposed in Gao & Yang (2025), we exploit the Jordan canonical form of the system matrix to develop…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Giulio Fattore , Maria Elena Valcher , Rui Gao , Guang-Hong Yang

This paper addresses the data-driven identification of latent dynamical representations of partially-observed systems, i.e., dynamical systems for which some components are never observed, with an emphasis on forecasting applications,…

A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

Optimization and Control · Mathematics 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

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

The paper considers a problem of detecting and mitigating biasing attacks on networks of state observers targeting cooperative state estimation algorithms. The problem is cast within the recently developed framework of distributed…

Systems and Control · Computer Science 2018-10-11 Mohammad Deghat , Valery Ugrinovskii , Iman Shames , Cedric Langbort

Observer design for linear systems with aperiodic sampled-data measurements is addressed. To solve this problem, a novel hybrid observer is designed. The main peculiarity of the proposed observer consists of the use two output injection…

Systems and Control · Electrical Eng. & Systems 2021-12-23 Francesco Ferrante , Alexandre Seuret

We consider a class of dissipative stochastic differential equations (SDE's) with time-periodic coefficients in finite dimension, and the response of time-asymptotic probability measures induced by such SDE's to sufficiently regular, small…

Probability · Mathematics 2022-01-04 Michal Branicki , Kenneth Uda

This paper introduces a novel stabilization control strategy for linear time-invariant systems affected by known time-varying measurement delays and matched unknown nonlinear disturbances, which may encompass actuator faults. It is…

Optimization and Control · Mathematics 2025-07-30 Hardy Pinto , Tiago Roux Oliveira , Liu Hsu