Observation and Control for Operator Semigroups

Titre : Observation and Control for Operator Semigroups
Auteur : Marius Tucsnak
Éditeur : Springer Science & Business Media
ISBN-13 : 9783764389932
Libération : 2009-03-13

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This book studies observation and control operators for linear systems where the free evolution of the state can be described by an operator semigroup on a Hilbert space. It includes a large number of examples coming mostly from partial differential equations.

Well Posed Linear Systems

Titre : Well Posed Linear Systems
Auteur : Olof Staffans
Éditeur : Cambridge University Press
ISBN-13 : 1139442236
Libération : 2005-02-24

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Many infinite-dimensional linear systems can be modelled in a Hilbert space setting. Others, such as those dealing with heat transfer or population dynamics, need to be set more generally in Banach spaces. This is the first book dealing with well-posed infinite-dimensional linear systems with an input, a state, and an output in a Hilbert or Banach space setting. It is also the first to describe the class of non-well-posed systems induced by system nodes. The author shows how standard finite-dimensional results from systems theory can be extended to these more general classes of systems, and complements them with new results which have no finite-dimensional counterpart. Much of the material presented is original, and many results have never appeared in book form before. A comprehensive bibliography rounds off this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.

Open Problems in Mathematical Systems and Control Theory

Titre : Open Problems in Mathematical Systems and Control Theory
Auteur : Vincent D. Blondel
Éditeur : Springer Science & Business Media
ISBN-13 : 9781447108078
Libération : 2012-12-06

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System and Control theory is one of the most exciting areas of contemporary engineering mathematics. From the analysis of Watt's steam engine governor - which enabled the Industrial Revolution - to the design of controllers for consumer items, chemical plants and modern aircraft, the area has always drawn from a broad range of tools. It has provided many challenges and possibilities for interaction between engineering and established areas of 'pure' and 'applied' mathematics. This impressive volume collects a discussion of more than fifty open problems which touch upon a variety of subfields, including: chaotic observers, nonlinear local controlability, discrete event and hybrid systems, neural network learning, matrix inequalities, Lyapunov exponents, and many other issues. Proposed and explained by leading researchers, they are offered with the intention of generating further work, as well as inspiration for many other similar problems which may naturally arise from them. With extensive references, this book will be a useful reference source - as well as an excellent addendum to the textbooks in the area.

Stability of Operators and Operator Semigroups

Titre : Stability of Operators and Operator Semigroups
Auteur : Tanja Eisner
Éditeur : Birkhäuser
ISBN-13 : 3034803117
Libération : 2012-09-07

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The asymptotic behaviour, in particular "stability" in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces. Of particular concern is convergence to an equilibrium with respect to various topologies. Parallels and differences between the discrete and the continuous situation are emphasised.

Perspectives in operator theory

Titre : Perspectives in operator theory
Auteur : Stefan Banach International Mathematical Center
Éditeur :
ISBN-13 : UOM:39015073589700
Libération : 2007

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Stefan Banach International Mathematical Center A été écrit sous une forme ou une autre pendant la plus grande partie de sa vie. Vous pouvez trouver autant d'inspiration de Perspectives in operator theory Aussi informatif et amusant. Cliquez sur le bouton TÉLÉCHARGER ou Lire en ligne pour obtenir gratuitement le livre de titre $ gratuitement.

Progress in Partial Differential Equations

Titre : Progress in Partial Differential Equations
Auteur : Michael Reissig
Éditeur : Springer Science & Business Media
ISBN-13 : 9783319001258
Libération : 2013-03-30

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Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are: • Linear hyperbolic equations and systems (scattering, symmetrisers) • Non-linear wave models (global existence, decay estimates, blow-up) • Evolution equations (control theory, well-posedness, smoothing) • Elliptic equations (uniqueness, non-uniqueness, positive solutions) • Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)

An Introduction to Banach Space Theory

Titre : An Introduction to Banach Space Theory
Auteur : Robert E. Megginson
Éditeur : Springer Science & Business Media
ISBN-13 : 9781461206033
Libération : 2012-12-06

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Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces. It is sprinkled liberally with examples, historical notes, citations, and original sources, and over 450 exercises provide practice in the use of the results developed in the text through supplementary examples and counterexamples.

SIAM Journal on Control and Optimization

Titre : SIAM Journal on Control and Optimization
Auteur :
Éditeur :
ISBN-13 : UCSD:31822036010981
Libération : 2006

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A été écrit sous une forme ou une autre pendant la plus grande partie de sa vie. Vous pouvez trouver autant d'inspiration de SIAM Journal on Control and Optimization Aussi informatif et amusant. Cliquez sur le bouton TÉLÉCHARGER ou Lire en ligne pour obtenir gratuitement le livre de titre $ gratuitement.

Representation and Control of Infinite Dimensional Systems

Titre : Representation and Control of Infinite Dimensional Systems
Auteur : Alain Bensoussan
Éditeur : Birkhäuser
ISBN-13 : 081764461X
Libération : 2006-12-06

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This unified, revised second edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite-dimensional systems. The original editions received outstanding reviews, yet this new edition is more concise and self-contained. New material has been added to reflect the growth in the field over the past decade. There is a unique chapter on semigroup theory of linear operators that brings together advanced concepts and techniques which are usually treated independently. The material on delay systems and structural operators has not yet appeared anywhere in book form.

Opuscula Mathematica

Titre : Opuscula Mathematica
Auteur :
Éditeur :
ISBN-13 : UOM:39015072599361
Libération : 2001

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A été écrit sous une forme ou une autre pendant la plus grande partie de sa vie. Vous pouvez trouver autant d'inspiration de Opuscula Mathematica Aussi informatif et amusant. Cliquez sur le bouton TÉLÉCHARGER ou Lire en ligne pour obtenir gratuitement le livre de titre $ gratuitement.