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| Author | : Igor' D. Čuešov |
| Publisher | : "Acta" publishers |
| Total Pages | : 421 |
| Release | : 2002 |
| Genre | : Differentiable dynamical systems |
| ISBN | : 9667021645 |
| Author | : Igor D. Chueshov |
| Publisher | : |
| Total Pages | : 418 |
| Release | : 2002 |
| Genre | : |
| ISBN | : 9789667021207 |
| Author | : James C. Robinson |
| Publisher | : Cambridge University Press |
| Total Pages | : 488 |
| Release | : 2001-04-23 |
| Genre | : Mathematics |
| ISBN | : 9780521632041 |
This book treats the theory of global attractors, a recent development in the theory of partial differential equations, in a way that also includes much of the traditional elements of the subject. As such it gives a quick but directed introduction to some fundamental concepts, and by the end proceeds to current research problems. Since the subject is relatively new, this is the first book to attempt to treat these various topics in a unified and didactic way. It is intended to be suitable for first year graduate students.
| Author | : Alain Bensoussan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 589 |
| Release | : 2007-04-05 |
| Genre | : Technology & Engineering |
| ISBN | : 0817645810 |
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.
| Author | : Igor Chueshov |
| Publisher | : Springer Nature |
| Total Pages | : 346 |
| Release | : 2020-07-29 |
| Genre | : Mathematics |
| ISBN | : 3030470911 |
The main goal of this book is to systematically address the mathematical methods that are applied in the study of synchronization of infinite-dimensional evolutionary dissipative or partially dissipative systems. It bases its unique monograph presentation on both general and abstract models and covers several important classes of coupled nonlinear deterministic and stochastic PDEs which generate infinite-dimensional dissipative systems. This text, which adapts readily to advanced graduate coursework in dissipative dynamics, requires some background knowledge in evolutionary equations and introductory functional analysis as well as a basic understanding of PDEs and the theory of random processes. Suitable for researchers in synchronization theory, the book is also relevant to physicists and engineers interested in both the mathematical background and the methods for the asymptotic analysis of coupled infinite-dimensional dissipative systems that arise in continuum mechanics.
| Author | : Alain Bensoussan |
| Publisher | : Birkhäuser |
| Total Pages | : 0 |
| Release | : 2008-11-01 |
| Genre | : Technology & Engineering |
| ISBN | : 9780817671150 |
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.
| Author | : Giuseppe Da Prato |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 217 |
| Release | : 2006-08-25 |
| Genre | : Mathematics |
| ISBN | : 3540290214 |
Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention to their long-time behavior.
| Author | : Bernard Brogliato |
| Publisher | : Springer |
| Total Pages | : 720 |
| Release | : 2019-07-03 |
| Genre | : Technology & Engineering |
| ISBN | : 3030194205 |
This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.
| Author | : J.K. Hale |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 203 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 1475744935 |
Including: An Introduction to the Homotopy Theory in Noncompact Spaces
| Author | : Igor Chueshov |
| Publisher | : |
| Total Pages | : |
| Release | : 2015 |
| Genre | : |
| ISBN | : 9783319229041 |
This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems properties related to dissipative long-time behavior. The book systematically presents, develops and uses the quasi-stability method while substantially extending it by including for consideration new classes of models and PDE systems arising in Continuum Mechanics. The book can be used as a textbook in dissipative dynamics at the graduate level. Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.
