Optimal control problems for nonlinear parabolic boundary control systems: The Dirichlet boundary condition
type: Item
instance of: scholarly article
title: Optimal control problems for nonlinear parabolic boundary control systems: The Dirichlet boundary condition
zbMATH Open document ID: 0814.93080
author: V. Pereyra
published in: Differential and Integral Equations
publication date: 1995-06-13T00:00:00Z
review text: A boundary control system described by a semilinear partial differential heat equation is considered. The control is applied through the forced Dirichlet boundary condition. The optimal control problem is that of minimizing a cost functional among all determined admissible controls for which the corresponding solutions satisfy a given target condition. The time at which the optimal process terminates may be fixed or free. The final result is a version of Pontryagin's maximum principle. Existence theorems are also obtained.
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 93E25
zbMATH DE Number: 597522
zbMATH Keywords: optimal stochastic control
zbMATH Keywords: boundary control system
zbMATH Keywords: heat equation
zbMATH Keywords: Pontryagin's maximum principle
reviewed by: Ryszard Gessing
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 597522