Optimal feedback control for a semilinear evolution equation
type: Item
instance of: scholarly article
title: Optimal feedback control for a semilinear evolution equation
zbMATH Open document ID: 0817.49002
DOI: 10.1007/BF02192215
published in: Journal of Optimization Theory and Applications
publication date: 1995-07-20T00:00:00Z
review text: The authors study the semilinear control system \[ \begin{aligned} y_ j'(t) & = A_ j(t) y_ j(t)+ f_ j(t, y_ 1(t),\dots, y_ n(t),\;u(t))\qquad (1\leq j\leq n)\\ u(t) &\in V(t, y_ 1(t),\dots, y_ n(t)),\end{aligned} \] where \(y_ j(t)\in\) separable Banach space \(X_ j\) and \(u(t)\in\) Banach space \(Z\); \(V\) is a feedback set-valued map. The object is to construct a feedback solution of the problem of minimizing a cost functional subject to constraints on the initial and final point of the trajectory.
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 679950
zbMATH Keywords: optimal feedback control
zbMATH Keywords: feedback set-valued map
author: Mikhail Kamenskii
author: Paolo Nistri
author: Valerii V. Obukhovskij
author: Pietro Zecca
reviewed by: Hector O. Fattorini
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 679950