Filtering for a logistic equation
type: Item
instance of: scholarly article
title: Filtering for a logistic equation
zbMATH Open document ID: 0726.60041
DOI: 10.1016/0895-7177(90)90002-5
published in: Mathematical and Computer Modelling
publication date: 1990-01-01T00:00:00Z
review text: This is a short tutorial article on the topic of filtering for dynamic processes. It starts off by a brief derivation of the continuous-time Kalman filter, illustrated by a scalar example, and then goes into the derivation of the filtering equations for nonlinear systems. In case context both normalized and unnormalized (Zakai) filter equations are introduced, and the theory is illustrated by a scalar system described by a logistic-type equation, with small noise.
Mathematics Subject Classification ID: 60G35
Mathematics Subject Classification ID: 93E11
zbMATH DE Number: 4199169
zbMATH Keywords: tutorial article
zbMATH Keywords: filtering for dynamic processes
zbMATH Keywords: logistic-type equation
author: Robert J. Elliott
reviewed by: Tamer Başar
MaRDI profile type: Publication
full work available at URL: 0895-7177(90)90002-5
OpenAlex ID: W1970533741
cites work: Nonlinear filtering and Riemannian scalar curvature, \({\mathbb{R}}\)
cites work: Nonlinear filtering theory for coral/starfish and plant/herbivore interactions†
cites work: Nonlinear filtering of myxomatosis based on hormonal control of flea reproduction by the rabbit∗
cites work: Nonlinear prediction of crown–of–thorns outbreaks on the great barrier reef
cites work: Q3969647
cites work: Q4139359
Recommended article: Nonlinear filtering of a system of logistic equations
Recommended article: Filtering then-dimensional logistic growth model
Recommended article: LOGISTIC MAP WITH A FIRST ORDER FILTER
Recommended article: The Filtering Equations Revisited
Recommended article: A discrete equivalent of the logistic equation
Recommended article: Filtering via estimating functions
Recommended article: Filtering by nonlinear systems
Recommended article: Sourcing for parameter estimation and study of logistic differential equation
description: scientific article; zbMATH DE number 4199169