Control of regulators for dynamical systems in Hilbert spaces
type: Item
instance of: scholarly article
title: Control of regulators for dynamical systems in Hilbert spaces
zbMATH Open document ID: 1022.93027
DOI: 10.1023/A:1023628703520
author: V. A. Brusin
published in: Differential Equations
publication date: 2003-06-12T00:00:00Z
review text: The author considers controlled dynamical systems in a Hilbert space governed by equations of the form \[ \dot z= Az+ B_1u(t)+ B_2\zeta(t), \] where \(z(t)\in H\) is the state of the system at time \(t\), \(u(t)\in U\) is a control, \(\zeta(t)\in\Sigma\) is a perturbation. Here, the author defines a class of linear dynamical regulators depending on a matrix parameter and solves the problem in question under some inequality in the frequency form. He gives an application to a control problem for systems governed by difference-differential equations.
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93C80
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 1927217
zbMATH Keywords: integral-quadratic criterion
zbMATH Keywords: perturbation
zbMATH Keywords: linear dynamical regulators
MaRDI profile type: Publication
full work available at URL: a:1023628703520
OpenAlex ID: W202164256
description: scientific article; zbMATH DE number 1927217