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We consider the problem of state and parameter estimation for a wide class of nonlinear oscillators. Observable variables are limited to a few components of state vector and an input signal. The problem of state and parameter reconstruction…

Neurons and Cognition · Quantitative Biology 2015-03-13 David Fairhurst , Ivan Tyukin , Henk Nijmeijer , Cees van Leeuwen

This paper presents a framework on minimal-order appointed-time unknown input observers for linear systems based on the pairwise observer structure. A minimal-order appointed-time observer is first proposed for the linear system without the…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Yuezu Lv , Zhongkui Li , Zhisheng Duan

This paper utilizes the recently proposed cubic observer to estimate the state of a class of nonlinear systems. The cubic observer is proposed as an alternative to linear observers for improved convergence rate and robustness. It is shown…

Optimization and Control · Mathematics 2019-12-24 Mohammad Mahdi Share Pasand

A supervisory observer is a multiple-model architecture, which estimates the parameters and the states of nonlinear systems. It consists of a bank of state observers, where each observer is designed for some nominal parameter values sampled…

Optimization and Control · Mathematics 2017-09-06 Michelle S. Chong , Romain Postoyan , Sei Zhen Khong , Dragan Nesic

This study focuses on analyzing a deterministic SIR model governing the dynamics of the hosts and vectors on an urban network. Our analysis scrutinizes the typical existence--stability of the equilibria as well as the sensitivity of the…

Dynamical Systems · Mathematics 2017-11-13 Karunia Putra Wijaya , Dipo Aldila

In this paper, we aim to estimate the direction of an underlying signal from its nonlinear observations following the semi-parametric single index model (SIM). Unlike conventional compressed sensing where the signal is assumed to be sparse,…

Machine Learning · Computer Science 2022-06-02 Jiulong Liu , Zhaoqiang Liu

Obtaining initial conditions and parameterizations leading to a model consistent with available measurements or safety specifications is important for many applications. Examples include model (in-)validation, prediction, fault diagnosis,…

Optimization and Control · Mathematics 2013-03-20 Stefan Streif , Philipp Rumschinski , Didier Henrion , Rolf Findeisen

This paper proposes a novel distributed interval observer design for linear time-invariant (LTI) discrete-time systems subject to bounded disturbances. In the proposed observer algorithm, each agent in a networked group exchanges…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Mohammad Khajenejad , Scott Brown , Sonia Martinez

Consider an n-dimensional linear system where it is known that there are at most k<n non-zero components in the initial state. The observability problem, that is the recovery of the initial state, for such a system is considered. We obtain…

Information Theory · Computer Science 2012-04-17 Wei Dai , Serdar Yüksel

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

We study global finite-dimensional observer-based stabilization of a semilinear 1D heat equation with globally Lipschitz semilinearity in the state variable. We consider Neumann actuation and point measurement. Using dynamic extension and…

Optimization and Control · Mathematics 2021-12-30 Rami Katz , Emilia Fridman

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

Linear observed systems on groups encode the geometry of a variety of practical state estimation problems. In this paper, we propose an observer framework for a class of linear observed systems by restricting a bi-invariant system on a Lie…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Changwu Liu , Yuan Shen

The paper considers the observer synthesis for nonlinear, time-varying plants with uncertain parameters under multiharmonic disturbance. It is assumed that the relative degree of the plant is known, the regressor linearly depends on the…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Alexey A. Margun , Van H. Bui , Alexey A. Bobtsov , Denis V. Efimov

This paper deals with the problem of designing unknown input observers for a class of coupled semilinear wave partial differential equations (PDE) systems. A state observer is designed to estimate the uncertain coupled wave PDE systems.…

Optimization and Control · Mathematics 2026-01-13 Najmeh Ghaderi , Birgit Jacob

This paper studies a network of observers for a distributed estimation problem, where each observer assesses a portion of output of a given LTI system. The goal of each observer is to compute a state estimate that asymptotically converges…

Optimization and Control · Mathematics 2012-03-19 Shinkyu Park , Nuno C. Martins

We develop a feedback control method for networked epidemic spreading processes. In contrast to most prior works which consider mean field, open-loop control schemes, the present work develops a novel framework for feedback control of…

Optimization and Control · Mathematics 2017-03-23 Nicholas J. Watkins , Cameron Nowzari , George J. Pappas

This paper deals with the estimation of exogeneous peer effects for partially observed networks under the new inferential paradigm of design identification, which characterizes the missing data challenge arising with sampled networks with…

Econometrics · Economics 2022-08-22 Mamadou Yauck

This paper deals with the state estimation of linear time-invariant systems using distributed observers with local sampled-data measurement and aperiodic communication. Each observer agent perceives partial information of the system to be…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Shimin Wang , Ya-Jun Pan , Martin Guay

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