Optimal control for nonlinear abstract evolution systems
type: Item
instance of: scholarly article
title: Optimal control for nonlinear abstract evolution systems
zbMATH Open document ID: 0797.49020
published in: Differential and Integral Equations
publication date: 1993-12-08T00:00:00Z
review text: The problem considered is to minimize Lagrange type cost functional on trajectories of a nonlinear abstract evolution system given in the framework of Gelfand triple. Under more general assumptions then in the previous works the author obtains the necessary conditions for optimality in the form of the Pontryagin maximum principle. The approach is based on the Ekeland variational principle together with the spike variation technique. Applications to the control problem for quasilinear parabolic systems are presented.
Mathematics Subject Classification ID: 49K27
Mathematics Subject Classification ID: 93C25
zbMATH DE Number: 459198
zbMATH Keywords: Lagrange type cost functional
zbMATH Keywords: Pontryagin maximum principle
zbMATH Keywords: Ekeland variational principle
zbMATH Keywords: spike variation technique
author: Jiongmin Yong
reviewed by: Ernst G. Al'brekht
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 459198