Controllability of Singularly Perturbed Linear Time Delay Systems, Glizer Valery Y.
Автор: Zoran Gajic; Djordjija Petkovski; Xuemin Shen Название: Singularly Perturbed and Weakly Coupled Linear Control Systems ISBN: 3540523332 ISBN-13(EAN): 9783540523338 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems.
Описание: This book is a self-contained collection of recent research findings providing a comprehensive and systematic unified framework for both analysis and synthesis for singularly perturbed systems.
1. Introduction.- 2. Preliminaries.- 3. Preliminaries on Harmonic Functions.- 4. Green Identities and Layer Potentials.- 5. Preliminaries on the Fredholm Alternative Principle .- 6. Boundary Value Problems and Boundary Integral Operators.- 7. Poisson Equation and Volume Potentials.- 8. A Dirichlet Problem in a Domain with a Small Hole.- 9. Other Problems with Linear Boundary Conditions in a Domain with a Small Hole.- 10. A Dirichlet Problem in a Domain with Two Small Holes.- 11. Nonlinear Boundary Value Problems in Domains with a Small Hole.- 12. Boundary Value Problems in Periodic Domains, A Potential Theoretic Approach.- 13. Singular Perturbation Problems in Periodic Domains.- Appendix.- References.- Index.
Описание: The book deals with several closely related topics concerning approxima- tions and perturbations of random processes and their applications to some important and fascinating classes of problems in the analysis and design of stochastic control systems and nonlinear filters. The basic mathematical methods which are used and developed are those of the theory of weak con- vergence. The techniques are quite powerful for getting weak convergence or functional limit theorems for broad classes of problems and many of the techniques are new. The original need for some of the techniques which are developed here arose in connection with our study of the particular applica- tions in this book, and related problems of approximation in control theory, but it will be clear that they have numerous applications elsewhere in weak convergence and process approximation theory. The book is a continuation of the author's long term interest in problems of the approximation of stochastic processes and its applications to problems arising in control and communication theory and related areas. In fact, the techniques used here can be fruitfully applied to many other areas. The basic random processes of interest can be described by solutions to either (multiple time scale) Ito differential equations driven by wide band or state dependent wide band noise or which are singularly perturbed. They might be controlled or not, and their state values might be fully observable or not (e. g., as in the nonlinear filtering problem).
Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems
Автор: Cao, Daomin (chinese Academy Of Sciences, Beijing) Peng, Shuangjie Yan, Shusen Название: Singularly perturbed methods for nonlinear elliptic problems ISBN: 1108836836 ISBN-13(EAN): 9781108836838 Издательство: Cambridge Academ Рейтинг: Цена: 9979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces singularly perturbed methods in a self-contained manner by investigating two relatively simple but typical non-compact elliptic problems. Avoiding using too many sophisticated estimates, this book is written for PhD students and junior mathematicians who plan to do their research in the area of elliptic differential equations.
Описание: This text is about the elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and the understanding of model hierarchies. The author presents his method, homogenization in time, based on energy principles and weak convergence techniques.
Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems.
Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems.
Описание: In addition, it explores the homogenization of hyperbolic partial differential equations with oscillating coefficients and linear oscillatory singularly perturbed hyperbolic partial differential equations.
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