Periodic optimal control in Hilbert space
type: Item
instance of: scholarly article
title: Periodic optimal control in Hilbert space
zbMATH Open document ID: 0849.49003
DOI: 10.1007/BF01183142
author: Viorel Barbu
author: N. H. Pavel
published in: Applied Mathematics and Optimization
publication date: 1996-10-28T00:00:00Z
review text: The authors have studied an optimal control problem governed by \(y' = Ay + Bu\), \(y(0) = \varepsilon y(\tau)\), \(\varepsilon = \pm 1\), where \(A\) is the infinitesimal generator of a nonasymptotically stable \(C_0\) semigroup and \(B\) is a linear operator from \(U\) to \(H\). Both, distributed, i.e., \(B \in L(U,H)\), and boundary, i.e., \(B \in L(U, (D(A^*)')\), cases are investigated. Some applications to periodic control \((\varepsilon = 1)\) are given.
reviewed by: Sebastian Aniţa
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49K20
zbMATH DE Number: 870155
zbMATH Keywords: exponentially stable semigroups
zbMATH Keywords: periodic boundary conditions
zbMATH Keywords: mild solutions
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: necessary conditions for optimality
zbMATH Keywords: optimal control
zbMATH Keywords: periodic control
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01183142
OpenAlex ID: W2013714804
description: scientific article; zbMATH DE number 870155