Journal ArticleDOI
The operator Carleson measure criterion for admissibility of control operators for diagonal semigroups on 1 2
Scott W. Hansen,George Weiss +1 more
TLDR
In this article, a control system is described by a diagonal semigroup on the state space and by an unbounded control operator B defined on the input space l 2, and a condition called the operator Carleson measure criterion is formulated.About:
This article is published in Systems & Control Letters.The article was published on 1991-02-01. It has received 43 citations till now. The article focuses on the topics: Carleson measure & Multiplication operator.read more
Citations
More filters
Book
Observation and Control for Operator Semigroups
Marius Tucsnak,George Weiss +1 more
TL;DR: The main topics of interest about observation and control operators are admissibility, observability, controllability, stabilizability and detectability as discussed by the authors, which is a mature area of functional analysis, which is still very active.
Journal ArticleDOI
Dynamic stabilization of regular linear systems
George Weiss,Ruth F. Curtain +1 more
TL;DR: It is argued that the more general concept, stabilization with an internal loop in the controller, is the natural one, and sufficient conditions under which an observer-based stabilizing controller with aninternal loop can be constructed are derived.
Book ChapterDOI
Admissibility of Control and Observation Operators for Semigroups: A Survey
TL;DR: In this article, the authors review the literature on admissibility of control and observation operators for semigroups, presenting many recent results in this approach to infinite-dimensional systems theory.
Book ChapterDOI
Two conjectures on the admissibility of control operators
TL;DR: In this paper, the authors studied the necessary and sufficient conditions for the admissibility of unbounded control operators for semigroups on Hilbert spaces, with respect to input functions of class L 2.
Journal ArticleDOI
A systematic method for building smooth controls for smooth data
Sylvain Ervedoza,Enrique Zuazua +1 more
TL;DR: In this article, the authors prove a regularity result for abstract control problems where the objective is to find a control function that inherits the regularity of the initial datum to be controlled.
References
More filters
Book
Semigroups of Linear Operators and Applications to Partial Differential Equations
TL;DR: In this article, the authors considered the generation and representation of a generator of C0-Semigroups of Bounded Linear Operators and derived the following properties: 1.1 Generation and Representation.
Journal ArticleDOI
Admissibility of unbounded control operators
TL;DR: In this paper, the wave equation on a bounded interval is described in terms of a functional equation, where necessary and sufficient conditions are given for a wave system to be admissible.
Journal ArticleDOI
Infinite-dimensional linear systems with unbounded control and observation: a functional analytic approach
TL;DR: In this article, a unified framework for the functional analytic representation of infinite dimensional linear systems with unbounded input and output operators is developed, based on which new results are derived on the wellposedness of feedback systems and on the linear quadratic control problem.