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"This book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution.... Many readers will appreciate the concise exposition." "Presents, or refers to, the most recent and updated results in the field. For this reason, it should serve as an excellent asset to anyone pursuing a research career in the field." —Mathematical Reviews (reviews of Volumes I and II of the First Edition) The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from a theoretical and design point of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with time delays and distributed parameter systems. This reorganized, revised, and expanded 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 book is structured into five parts. Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory. It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered. New material and original features of the Second Edition: * Part I on finite dimensional controlled dynamical systems contains new material: an expanded chapter on the control of linear systems including a glimpse into H-infinity theory and dissipative systems, and a new chapter on linear quadratic two-person zero-sum differential games. * A unique chapter on semigroup theory and interpolation of linear operators brings together advanced concepts and techniques that are usually treated independently. * The material on delay systems and structural operators is not available elsewhere in book form. Control of infinite dimensional systems has a wide range and growing number of challenging applications. This book is a key reference for anyone working on these applications, which arise from new phenomenological studies, new technological developments, and more stringent design requirements. It will be useful for mathematicians, graduate students, and engineers interested in the field and in the underlying conceptual ideas of systems and control.

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Stochastic Control by Functional Analysis Methods

Control theory --- Stochastic analysis --- Théorie de la commande --- Analyse stochastique --- Stochastic control theory --- Stochastic control theory. --- Théorie de la commande --- ELSEVIER-B EPUB-LIV-FT --- Control theory. --- Stochastic analysis. --- Analysis, Stochastic --- Mathematical analysis --- Stochastic processes --- Dynamics --- Machine theory

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L'évolution constante des technologies a fait naître un nouveau vecteur de communication au carrefour des techniques et cultures que sont l'audiovisuel, l'informatique, la télécommunication et l'édition. L'apparition des produits multimédias alliée aux techniques de la numérisation, rend la frontière entre les différents droits en présence de plus en plus difficile à déterminer. Le produit multimédia inclut tout à la fois des logiciels, des œuvres littéraires, musicales, audiovisuelles, des arts graphiques et des bases de données et peut constituer lui-même une gigantesque base de données. Le développement spectaculaire du multimédia, associé au phénomène Internet, promet une révolution identique dans son ampleur à celle que la micro-informatique a connue dans les années 1980. L'omniprésence du multimédia nous interdit aujourd'hui d'ignorer les incidences directes des aspects juridiques sur son évolution. La détermination des droits et des prérogatives des nombreux acteurs (prestataires de services, informaticiens, artistes-interprètes, consultants, investisseurs, producteurs et éditeurs), ainsi que les conditions d'exploitation de l'œuvre créée constituent autant d'interrogations juridiques qu'il est indispensable et urgent de régler. Une des difficultés majeures sera d'appliquer à la réalité technique des règles juridiques spécifiques propres à respecter l'équilibre des droits et des parties en présence quel que soit le secteur de marché concerné. Le multimédia et le droit a été élaboré sous la direction d'Isabelle Demnard-Tellier, spécialiste en droit de la propriété intellectuelle, en association avec des avocats et des juristes issus de l'entreprise, tous praticiens du droit des nouvelles technologies et membres du Cabinet ALAIN BENSOUSSAN. Cette deuxième édition comporte des mises à jour et développe de nouveaux thèmes, tel le métier de localisateur de produit multimédia dans l'entreprise (intranet, e-mail...).

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