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 …

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 …

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 …

The paper addresses the problem of efficient inventory management in production–
inventory systems focusing on the dynamical nature of goods flow process. In the …

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 …

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 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 …

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 …

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 …

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 …