[图书][B] Infinite dimensional linear systems theory
RF Curtain, AJ Pritchard - 1978 - Springer
Suppose ze Z is the state at time zero of a dynamical system defined on a Banach space Z,
and the state at time t is z (t). If we assume that the dynamics which govern the evolution …
and the state at time t is z (t). If we assume that the dynamics which govern the evolution …
[图书][B] Mathematical control theory
J Zabczyk - 2020 - Springer
Control theory originated around 150 years ago when the performance of mechanical
governors started to be analysed in a mathematical way. Such governors act in a stable way …
governors started to be analysed in a mathematical way. Such governors act in a stable way …
[图书][B] Spectral theory of linear operators: and spectral systems in Banach algebras
V Müller - 2007 - books.google.com
This book is dedicated to the spectral theory of linear operators on Banach spaces and of
elements in Banach algebras. It presents a survey of results concerning various types of …
elements in Banach algebras. It presents a survey of results concerning various types of …
Linear–quadratic optimal control strategy for periodic-review inventory systems
P Ignaciuk, A Bartoszewicz - Automatica, 2010 - Elsevier
The paper addresses the problem of efficient inventory management in production–
inventory systems focusing on the dynamical nature of goods flow process. In the …
inventory systems focusing on the dynamical nature of goods flow process. In the …
On the asymptotic behaviour of a semigroup of linear operators
JMAM van Neerven, B Straub, L Weis - Indagationes Mathematicae, 1995 - Elsevier
Let T={T (t)} t≥ 0 be a C0-semigroup on a Banach space X. In this paper, we study the
relations between the abscissa ωLp (T) of weak p-integrability of T (1≤ p<∞), the abscissa …
relations between the abscissa ωLp (T) of weak p-integrability of T (1≤ p<∞), the abscissa …
Stability and stabilizability of infinite-dimensional systems
AJ Pritchard, J Zabczyk - Siam Review, 1981 - SIAM
In this paper we are concerned with stability problems for infinite dimensional systems. First
we review the theory for linear systems where the dynamics are governed by strongly …
we review the theory for linear systems where the dynamics are governed by strongly …
Positive solutions to X= A− BX-1 B∗
WN Anderson Jr, TD Morley, GE Trapp - Linear Algebra and its Applications, 1990 - Elsevier
We study the positive (semidefinite) solutions to the matrix equation X= A− BX-1 B∗ under
the assumption that A⩾ 0. We show that a positive solution exists if and only if a certain block …
the assumption that A⩾ 0. We show that a positive solution exists if and only if a certain block …
Computing the extremal positive definite solutions of a matrix equation
X Zhan - SIAM Journal on Scientific Computing, 1996 - SIAM
An efficient and numerically stable implementation of a known algorithm is suggested for
finding the extremal positive definite solutions of the matrix equation X+A*X^-1A=I, if such …
finding the extremal positive definite solutions of the matrix equation X+A*X^-1A=I, if such …
Models for n-tuples of noncommuting operators
JW Bunce - Journal of functional analysis, 1984 - Elsevier
This paper proves versions of the Rota model theorem, the de Branges-Rovnyak model
theorem, and the coisometric extension theorem for n-tuples of not necessarily commuting …
theorem, and the coisometric extension theorem for n-tuples of not necessarily commuting …
On the matrix equation X+ ATX− 1A= I
X Zhan, J Xie - Linear Algebra and its Applications, 1996 - Elsevier
Simple necessary and sufficient conditions for the matrix equation X+ ATX− 1A= I to have a
positive definite solution are given. These conditions are used to explain some properties of …
positive definite solution are given. These conditions are used to explain some properties of …