Exact observability and exponential stability of infinite-dimensional bilinear systems
type: Item
instance of: scholarly article
title: Exact observability and exponential stability of infinite-dimensional bilinear systems
zbMATH Open document ID: 0862.93007
DOI: 10.1007/BF01211519
author: Cheng-Zhong Xu
published in: MCSS. Mathematics of Control, Signals, and Systems
publication date: 1996-10-16T00:00:00Z
review text: The paper contains results on stability and exact observability for a class of bilinear infinite-dimensional control systems. The class of systems under consideration contains examples which are of importance in chemical process engineering. By using results from the theory of linear evolution systems, it is shown that, for any given essentially bounded and essentially strictly positive control signal, any system in the class is exponentially stable and exactly observable.
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 936205
zbMATH Keywords: stability
zbMATH Keywords: exact observability
zbMATH Keywords: bilinear infinite-dimensional control systems
zbMATH Keywords: linear evolution systems
reviewed by: H. Logemann
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01211519
OpenAlex ID: W2060071135
description: scientific article; zbMATH DE number 936205