Controllability and Stabilization of Parabolic Equations, Viorel Barbu
Автор: VIOREL BARBU Название: Controllability and Stabilization of Parabolic Equations ISBN: 3319766651 ISBN-13(EAN): 9783319766652 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems.
Автор: Genni Fragnelli, Dimitri Mugnai Название: Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations ISBN: 1470419548 ISBN-13(EAN): 9781470419547 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 72990.00 T Наличие на складе: Невозможна поставка. Описание: The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.
Автор: Ionu? Munteanu Название: Boundary Stabilization of Parabolic Equations ISBN: 3030110982 ISBN-13(EAN): 9783030110987 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations. The potential control applications of this technique are wide ranging in many research areas, such as Newtonian fluid flows modeled by the Navier-Stokes equations; electrically conducted fluid flows; phase separation modeled by the Cahn-Hilliard equations; and deterministic or stochastic semi-linear heat equations arising in biology, chemistry, and population dynamics modeling.
The text provides answers to the following problems, which are of great practical importance:
Designing the feedback law using a minimal set of eigenfunctions of the linear operator obtained from the linearized equation around the target stateDesigning observers for the considered control systemsConstructing time-discrete controllers requiring only partial knowledge of the state
After reviewing standard notations and results in functional analysis, linear algebra, probability theory and PDEs, the author describes his novel stabilization algorithm. He then demonstrates how this abstract model can be applied to stabilization problems involving magnetohydrodynamic equations, stochastic PDEs, nonsteady-states, and more.
Boundary Stabilization of Parabolic Equations will be of particular interest to researchers in control theory and engineers whose work involves systems control. Familiarity with linear algebra, operator theory, functional analysis, partial differential equations, and stochastic partial differential equations is required.
Автор: Alexander Y. Khapalov Название: Controllability of Partial Differential Equations Governed by Multiplicative Controls ISBN: 3642124127 ISBN-13(EAN): 9783642124129 Издательство: Springer Рейтинг: Цена: 41880.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In a typical mathematical model of a controlled distributed parameter process one usually ?nds either boundary or internal locally distributed controls to serve as the means to describe the effect of external actuators on the process at hand. H- ever, these classical controls, enteringthe modelequationsas additive terms, are not suitable to deal with a vast array of processes that can change their principal intr- sic properties due to the control actions. Important examples here include (but not limitedto)thechainreaction-typeprocessesinbiomedical, nuclear, chemicalan- nancial applications, which can changetheir (reaction)rate when certain "catalysts" are applied, and the so-called "smart materials", which can, for instance, alter their frequency response. The goal of this monograph is to address the issue of global controllability of partial differential equations in the context of multiplicative (or bilinear) c- trols, which enter the model equations as coef?cients. The mathematical models of our interest include the linear and nonlinear parabolic and hyperbolic PDE's, the Schrodi ] nger equation, and coupled hybrid nonlinear distributed parameter systems associated with the swimming phenomenon. Pullman, WA, USA Alexander Khapalov January 2010 vii Preface This monograph developed from the research conducted in 2001-2009 in the area of controllability theory of partial differential equations. The concept of control- bility is a principal component of Control Theory which was brought to life in the 1950's by numerous applications in engineering, and has received the most sign- icant attention both from the engineering and the mathematical communities since then.
Автор: Jerzy Klamka Название: Controllability and Minimum Energy Control ISBN: 3030064557 ISBN-13(EAN): 9783030064556 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book offers a comprehensive overview of controllability problems and minimum energy control for broad classes of dynamical systems, including linear, semilinear and nonlinear systems, which are important for modeling systems in automatic control, electrical engineering, mechanics and informatics. It develops the theory of controllability for both finite and infinite dimensional dynamical systems described by differential state equation, and studies in detail functional analysis and matrix algebra, which provide essential and effective tools for the new solutions of a number of important controllability problems. The theoretical results are illustrated by examples throughout the book. Primarily intended for academic researchers working in mathematical control theory, the self-contained text is easily accessible and particularly interesting for control engineering and applied mathematics graduates.
Автор: Marzieh Nabi-Abdolyousefi Название: Controllability, Identification, and Randomness in Distributed Systems ISBN: 3319024280 ISBN-13(EAN): 9783319024288 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book involves the design and analysis of coordination algorithms on networks, identification of dynamic networks, and estimation on networks with random geometries with implications for networks that support the operation of dynamic systems.
Автор: Marzieh Nabi-Abdolyousefi Название: Controllability, Identification, and Randomness in Distributed Systems ISBN: 3319348531 ISBN-13(EAN): 9783319348537 Издательство: Springer Рейтинг: Цена: 87060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book involves the design and analysis of coordination algorithms on networks, identification of dynamic networks, and estimation on networks with random geometries with implications for networks that support the operation of dynamic systems.
Автор: Klamka Название: Controllability and Minimum Energy Control ISBN: 3319925393 ISBN-13(EAN): 9783319925394 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book offers a comprehensive overview of controllability problems and minimum energy control for broad classes of dynamical systems, including linear, semilinear and nonlinear systems, which are important for modeling systems in automatic control, electrical engineering, mechanics and informatics.
Автор: Alexander Y. Khapalov Название: Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations ISBN: 3319604139 ISBN-13(EAN): 9783319604138 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a concise study of controllability theory of partial differential equations when they are equipped with actuators and/or sensors that are finite dimensional at every moment of time.
Автор: Werner Krabs Название: On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes ISBN: 3540551026 ISBN-13(EAN): 9783540551027 Издательство: Springer Рейтинг: Цена: 95770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The main aim of this treatise is to apply infinite moment theory to the problem of the controllability of one-dimensional vibrating systems, such as strings and beams, and heating processes. A minimum knowledge of functional analysis and partial differential equations is required for this text.
Автор: Jerzy Klamka Название: Controllability of Dynamical Systems ISBN: 0792308220 ISBN-13(EAN): 9780792308225 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Wang, Gengsheng Xu, Yashan Название: Periodic feedback stabilization for linear periodic evolution equations ISBN: 3319492373 ISBN-13(EAN): 9783319492377 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book introduces a number of recent advances regarding periodic feedback stabilization for linear and time periodic evolution equations. First, it presents selected connections between linear quadratic optimal control theory and feedback stabilization theory for linear periodic evolution equations.
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