On controllability and observability of fuzzy dynamical matrix Lyapunov systems
type: Item
instance of: scholarly article
title: On controllability and observability of fuzzy dynamical matrix Lyapunov systems
zbMATH Open document ID: 1211.93081
DOI: 10.1155/2008/421525
author: M. S. N. Murty
author: G. Suresh Kumar
published in: Advances in Fuzzy Systems
publication date: 2010-07-09T00:00:00Z
review text: Summary: We provide a way to combine matrix Lyapunov systems with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix Lyapunov system, which can be regarded as a new approach to intelligent control. First, we study the controllability property of the fuzzy dynamical matrix Lyapunov system and provide a sufficient condition for its controllability with the use of a fuzzy rule base. The significance of our result is that, given a deterministic system and a fuzzy state with rule base, we can determine the rule base for the control. Further, we discuss the concept of observability and give a sufficient condition for the system to be observable. The advantage of our result is that we can determine the rule base for the initial value without solving the system.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 5734333
Wikidata QID: Q58643927
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2008/421525
OpenAlex ID: W2018054167
cites work: Q3696938
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DBLP publication ID: journals/afs/MurtyK08
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description: scientific article; zbMATH DE number 5734333