Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations, Alexander Y. Khapalov

Автор: Jerzy Klamka
Название: Controllability of Dynamical Systems
ISBN: 0792308220 ISBN-13(EAN): 9780792308225
Издательство: Springer
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Цена: 88500.00 T
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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
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Цена: 93160.00 T
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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: Camille Laurent, Matthieu Leautaud
Название: Tunneling Estimates and Approximate Controllability for Hypoelliptic Equations
ISBN: 1470451387 ISBN-13(EAN): 9781470451387
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
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Описание: This memoir is concerned with quantitative unique continuation estimates for equations involving a "sum of squares" operator L on a compact manifold M assuming: (i) the Chow-Rashevski-H?ormander condition ensuring the hypoellipticity of L,and(ii) the analyticity of M and the coefficients of L. The first result is the tunneling estimate ?L2(?) ? Ce?c?k 2 for normalized eigenfunctions ? of L from a nonempty open set ? ?M,wherek is the hypoellipticity index of L and ? the eigenvalue. The main result is a stability estimate for solutions to the hypoelliptic wave equation (?2 t + L)u =0:forT>2supx?M(dist(x,?)) (here, dist is the subRiemannian distance), the observation of the solution on (0,T) ? ? determines the data. The constant involved in the estimate is Cec?k where?isthetypical frequency of the data. Wethen prove the approximate controllability of the hypoelliptic heat equation (?t +L)v = 1?f in any time, with appropriate (exponential) cost, depending on k. In case k = 2 (Grushin, Heisenberg...), we further show approximate controllability to trajectories with polynomial cost in large time. We also explain how the a nalyticity assumption can be relaxed, and a boundary ?Mcan be added in some situations.

Автор: Dimitri Mugnai, Genni Fragnelli
Название: Corrigendum and Improvements to " "Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations`` and Its Consequences
ISBN: 1470447878 ISBN-13(EAN): 9781470447878
Издательство: Mare Nostrum (Eurospan)
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Цена: 86850.00 T
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Описание: Acorrigendum and improvements to Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations and its Consequences.

Автор: VIOREL BARBU
Название: Controllability and Stabilization of Parabolic Equations
ISBN: 3319766651 ISBN-13(EAN): 9783319766652
Издательство: Springer
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Цена: 93160.00 T
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Описание: This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems.

Автор: Viorel Barbu
Название: Controllability and Stabilization of Parabolic Equations
ISBN: 3030095509 ISBN-13(EAN): 9783030095505
Издательство: Springer
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Цена: 93160.00 T
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Описание: This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems.

Автор: Glizer Valery Y.
Название: Controllability of Singularly Perturbed Linear Time Delay Systems
ISBN: 3030659534 ISBN-13(EAN): 9783030659530
Издательство: Springer
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Цена: 111790.00 T
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Описание: This monograph provides a comprehensive analysis of the control of singularly perturbed time delay systems.

Автор: Jerzy Klamka
Название: Controllability and Minimum Energy Control
ISBN: 3030064557 ISBN-13(EAN): 9783030064556
Издательство: Springer
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Цена: 93160.00 T
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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: Pandolfi Luciano
Название: Systems with Persistent Memory: Controllability, Stability, Identification
ISBN: 3030802809 ISBN-13(EAN): 9783030802806
Издательство: Springer
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Цена: 121110.00 T
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Описание: This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory.

Автор: Klamka
Название: Controllability and Minimum Energy Control
ISBN: 3319925393 ISBN-13(EAN): 9783319925394
Издательство: Springer
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Цена: 93160.00 T
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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: Le Rousseau Jйrфme, LeBeau Gilles, Robbiano Luc
Название: Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II: General Boundary Conditions on Riemannian Manifolds
ISBN: 3030886697 ISBN-13(EAN): 9783030886691
Издательство: Springer
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Цена: 158380.00 T
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Описание: This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation.

Автор: Le Rousseau Jйrфme, LeBeau Gilles, Robbiano Luc
Название: Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I: Dirichlet Boundary Conditions on Euclidean Space
ISBN: 3030886735 ISBN-13(EAN): 9783030886738
Издательство: Springer
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Цена: 130430.00 T
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Описание: This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation.