Realization of certain input-output correspondences in a finite- dimensional space
type: Item
instance of: scholarly article
title: Realization of certain input-output correspondences in a finite- dimensional space
zbMATH Open document ID: 0733.93012
author: N. E. Zubov
published in: Automation and Remote Control
publication date: 1990-01-01T00:00:00Z
review text: Let A be a maximal monotone operator acting from a Hilbert space H to the subsets of H. The author considers a control system described by \(\dot x(t)+Ax(t)=\dot u(t),\) \(x(t_ 0)=x_ 0\). Parallely, he defines an ``input-output transformer'' possessing the standard properties of a semigroup generated by a differential equation. Three realization theorems are proved extending the known Crandall-Pazy result on representation of contracting continuous semigroups by maximal monotone operators.
Mathematics Subject Classification ID: 93B15
zbMATH DE Number: 4213824
zbMATH Keywords: input-output transformer
zbMATH Keywords: representation of contracting continuous semigroups
zbMATH Keywords: maximal monotone operators
reviewed by: A. L. Dontchev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4213824