On exponential obsevers for nonlinear systems
type: Item
instance of: scholarly article
title: On exponential obsevers for nonlinear systems
zbMATH Open document ID: 0654.93010
DOI: 10.1016/0167-6911(88)90077-1
author: Xiaohua Xia
author: Wei-Bing Gao
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: The aim of the paper is to identify the class of nonlinear systems that have exponential observers - a concept introduced by previous authors. It is shown that a necessary condition for the existence of an exponential observer for a nonlinear system is that the corresponding linearized system is detectable, and for local exponential stabilization problems, the condition is also sufficient. This paper gives also a theorem on the separation property for the exponential design problem, and it enables us to tell exactly to what extent the classical local linearization approach is applicable.
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 4068697
zbMATH Keywords: nonlinear systems
zbMATH Keywords: exponential observers
zbMATH Keywords: separation
zbMATH Keywords: exponential design problem
zbMATH Keywords: local linearization
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90077-1
OpenAlex ID: W2003680104
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description: scientific article; zbMATH DE number 4068697