On the observability of fuzzy dynamical control systems. I
type: Item
instance of: scholarly article
title: On the observability of fuzzy dynamical control systems. I
zbMATH Open document ID: 0976.93051
DOI: 10.1016/S0165-0114(97)00397-7
author: Zouhua Ding
author: Ming Ma
author: A. Kandel
published in: Fuzzy Sets and Systems
publication date: 2002-01-13T00:00:00Z
review text: The authors study a fuzzy logic system from the aspect of fuzzy differential equations. One of its features, observability, will be studied. Given the input and output, one can detect the initial state limited to some range. A new concept called ``likelihood'', will be used to indicate on which level and along which solution the state is most likely observable, and thus the concept of ``observability in the fuzzy sense'' is being created. The concept ``likelihood'' considers here the possibility of defining the ``most likely path'' for a differential inclusion in a non-probabilistic context. The authors use a deterministic control system with fuzzy inputs and outputs to generate a fuzzy dynamical control system, they give a sufficient condition for the system to be observable, they discuss a way to compute the likelihood of the solution and finally, an example is presented.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 1436996
zbMATH Keywords: likelihood
zbMATH Keywords: fuzzy logic system
zbMATH Keywords: fuzzy differential equations
zbMATH Keywords: observability
reviewed by: George S. Stavrakakis
MaRDI profile type: Publication
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full work available at URL: s0165-0114(97)00397-7
OpenAlex ID: W4253609054
description: scientific article; zbMATH DE number 1436996