Controllability for semilinear control systems of parabolic type
type: Item
instance of: scholarly article
title: Controllability for semilinear control systems of parabolic type
zbMATH Open document ID: 1031.93029
author: Jin-Mun Jeong
author: Jong Yeoul Park
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2002-08-21T00:00:00Z
review text: Semilinear, infinite-dimensional, parabolic type control systems are considered. It is generally assumed that the controls are unconstrained and that the abstract differential state equation contains both linear and nonlinear part. Under some general condition of the Lipschitz continuity of the nonlinear term in the state equation, sufficient conditions for approximate global controllability in a given time interval are formulated and proved. In the proofs of the main results, methods of nonlinear functional analysis are extensively used. Finally, a simple example which illustrates the theoretical considerations is given. Remarks and comments concerning approximate controllability of semilinear infinite-dimensional control systems are presented. Similar results can be found e.g. in the paper [\textit{J. Klamka}, Nonlinear Anal. 47, 2939-2949 (2001)].
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 1786045
zbMATH Keywords: semilinear control systems
zbMATH Keywords: distributed parameter systems
zbMATH Keywords: parabolic control systems
zbMATH Keywords: approximate global controllability
zbMATH Keywords: infinite-dimensional control systems
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1786045