Optimal control of distributed bilinear systems
type: Item
instance of: scholarly article
title: Optimal control of distributed bilinear systems
zbMATH Open document ID: 0625.93034
DOI: 10.1016/0167-6911(87)90025-9
author: Jianyong Qiao
author: Sumit K. Garg
published in: Systems \& Control Letters
publication date: 1987-01-01T00:00:00Z
full work available at URL: report 301.pdf
review text: The author considers the problem of the existence of an optimal control law for a bilinear system on a Hilbert space with a quadratic cost functional. He obtains a solution for the optimal control as a convergent series in the state with tensor coefficients, but in contrast to the case of linear control action, this solution only exists for states satisfying a certain bound depending on the horizon time.
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 46C99
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 49K27
zbMATH DE Number: 4016709
zbMATH Keywords: existence of an optimal control law
zbMATH Keywords: bilinear system
zbMATH Keywords: Hilbert space
zbMATH Keywords: quadratic cost functional
MaRDI profile type: Publication
OpenAlex ID: W2036301614
cites work: Q3695123
cites work: The receding horizon principle for distributed systems
cites work: On a class of suboptimal controls for infinite-dimensional bilinear systems
cites work: Q5336643
cites work: Multilinear algebra. 2nd ed
description: scientific article; zbMATH DE number 4016709