An account of chronological developments in control of distributed parameter systems

R Padhi, SF Ali - Annual reviews in Control, 2009 - Elsevier
Control systems arising in many engineering fields are often of distributed parameter type,
which are modeled by partial differential equations. Decades of research have lead to a …

[图书][B] Mathematical control theory: deterministic finite dimensional systems

ED Sontag - 2013 - books.google.com
Mathematics is playing an ever more important role in the physical and biologi cal sciences,
provoking a blurring of boundaries between scientific disciplines and a resurgence of …

[图书][B] Ergodicity for infinite dimensional systems

G Da Prato, J Zabczyk - 1996 - books.google.com
This book is devoted to the asymptotic properties of solutions of stochastic evolution
equations in infinite dimensional spaces. It is divided into three parts: Markovian dynamical …

On the spectrum of 𝐶₀-semigroups

J Prüss - Transactions of the American Mathematical Society, 1984 - ams.org
In this paper we give characterizations of the spectrum of a ${C_0} $-semigroup ${e^{At}} $
in terms of certain solution properties of the differential equation $(\ast)\; u'= Au+ f $ and, in …

[图书][B] Representation and control of infinite dimensional systems

A Bensoussan, G Da Prato, MC Delfour, SK Mitter - 2007 - Springer
A new edition in a single volume Over the past decade, more and more sophisticaced
mathematical tools and approaches have been incorporated in the? eld of Control of in? nite …

[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 …

[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 …

[图书][B] Stability and stabilization of infinite dimensional systems with applications

ZH Luo, BZ Guo, Ö Morgül - 2012 - books.google.com
The time evol11tion of many physical phenomena in nat11re can be de scribed by partial
differential eq11ations. To analyze and control the dynamic behavior of s11ch systems …

Resolvent operators for integral equations in a Banach space

RC Grimmer - Transactions of the American Mathematical Society, 1982 - ams.org
Conditions are given which ensure the existence of a resolvent operator for an
integrodifferential equation in a Banach space. The resolvent operator is similar to an …

[图书][B] Mathematical methods in robust control of linear stochastic systems

V Dragan, T Morozan, AM Stoica - 2006 - Springer
This new edition has nine chapters and it includes some new developments and results in
robust control of linear stochastic systems. In Chapter 1 properties of homogeneous Markov …