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Feedback Stabilization Of Bilinear Systems

by Kais Ammari e Mohamed Ouzahra

~~148,70€~~ 133,83€ 10% OFF

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 line-height: normal;">This monograph explores feedback stabilization of bilinear control systems evolving in Hilbert and Banach spaces, with particular emphasis on unbounded control operators arising in PDE models.
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Dynamics And Stability Of Continuous-Time Switched Linear Systems

by Mario Sigalotti, Paolo Mason e Yacine Chitour

~~171,59€~~ 154,43€ 10% OFF

 <p>Linear switched systems are a fascinating field of research, with many theoretical questions arising from applications which require sophisticated mathematical tools for their resolution. This monograph presents a unified theoretical approach for the analysis of stability of continuous-time linear switched systems, organizing and optimizing results scattered throughout literature. Emphasis is placed on the development of a rigorous and complete mathematical theory.</p><p>In addition to fundamental tools such as common Lyapunov functions, converse Lyapunov theorems, and maximal Lyapunov exponents, the concept of Barabanov norm is also discussed. While this is now well understood from a theoretical point of view, it has not received much attention in more application-focused settings, likely because this fundamental object was developed in the context of arbitrary switches but has no immediate equivalent for classes of switching signals subject to various constraints (dwell time, persistent excitation, etc.). One of the aims of this text is to bridge this gap as far as possible by explaining how the main features of Barabanov norms can be generalized for classes of constrained switchings. Throughout the text, the authors maintain a general point of view, rather than treating classes of switching signals separately, by developing an axiomatic approach and identifying structural properties of these classes that allow crucial aspects of the Barabanov norm to be extended. </p><p>This monograph will be a valuable resource for mathematicians and control engineers interested in continuous-time switched linear systems, as well as a definitive reference for more experienced researchers.</p>
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Dual Variational Approach To Nonlinear Diffusion Equations

by Gabriela Marinoschi

~~148,70€~~ 133,83€ 10% OFF

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 This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation.
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Variational And Diffusion Problems In Random Walk Spaces

by J. Julian Toledo-Melero, Jose M. Mazon e Marcos Solera-Diana

185,49€ + 10% CARD

 <p>This book presents the latest developments in the theory of gradient flows in random walk spaces. A broad framework is established for a wide variety of partial differential equations on nonlocal models and weighted graphs. Within this framework, specific gradient flows that are studied include the heat flow, the total variational flow, and evolution problems of Leray-Lions type with different types of boundary conditions. With many timely applications, this book will serve as an invaluable addition to the literature in this active area of research.</p><p><i>Variational and Diffusion Problems in Random Walk Spaces</i> will be of interest to researchers at the interface between analysis, geometry, and probability, as well as to graduate students interested in exploring these areas.</p><br><p></p>
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Dual Variational Approach To Nonlinear Diffusion Equations

by Gabriela Marinoschi

148,70€ + 10% CARD

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 This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation.
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Elliptic Carleman Estimates And Applications To Stabilization And Controllability, Volume I - Dirichlet Boundary Conditions On Euclidean Space

by Gilles Lebeau, Jerome Le Rousseau e Luc Robbiano

162,21€ + 10% CARD

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 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.
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Elliptic Carleman Estimates And Applications To Stabilization And Controllability, Volume Ii - General Boundary Conditions On Riemannian Manifolds

by Gilles Lebeau, Jerome Le Rousseau e Luc Robbiano

202,77€ + 10% CARD

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 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.
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Control Problems For Conservation Laws With Traffic Applications - Modeling, Analysis, And Numerical Methods

by Alexandre Bayen, Benedetto Piccoli, Maria Laura Delle Monache, Mauro Garavello e Paola Goatin

3,96€ + 10% CARD

 Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow.
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Dual Variational Approach To Nonlinear Diffusion Equations

by Gabriela Marinoschi

145,74€ + 10% CARD

 This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation.
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Brouwer Degree - The Core Of Nonlinear Analysis

by George Dinca e Jean Mawhin

148,70€ + 10% CARD

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 This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis.
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Control Problems For Conservation Laws With Traffic Applications - Modeling, Analysis, And Numerical Methods

by Alexandre Bayen, Benedetto Piccoli, Maria Laura Delle Monache, Mauro Garavello e Paola Goatin

60,82€ + 10% CARD

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 Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow.
ENGLISH

Elliptic Carleman Estimates And Applications To Stabilization And Controllability, Volume Ii - General Boundary Conditions On Riemannian Manifolds

by Gilles Lebeau, Jerome Le Rousseau e Luc Robbiano

202,77€ + 10% CARD

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 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.
ENGLISH

Elliptic Carleman Estimates And Applications To Stabilization And Controllability, Volume Ii - General Boundary Conditions On Riemannian Manifolds

by Gilles Lebeau, Jerome Le Rousseau e Luc Robbiano

198,09€ + 10% CARD

 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.
ENGLISH

Elliptic Carleman Estimates And Applications To Stabilization And Controllability, Volume I - Dirichlet Boundary Conditions On Euclidean Space

by Gilles Lebeau, Jerome Le Rousseau e Luc Robbiano

158,34€ + 10% CARD

 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.
ENGLISH

Elliptic Carleman Estimates And Applications To Stabilization And Controllability, Volume I - Dirichlet Boundary Conditions On Euclidean Space

by Gilles Lebeau, Jerome Le Rousseau e Luc Robbiano

162,21€ + 10% CARD

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 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.
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Sobolev Maps To The Circle - From The Perspective Of Analysis, Geometry, And Topology

by Haim Brezis e Petru Mironescu

171,59€ + 10% CARD

 <div>The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics. By contrast, the study of manifold-valued Sobolev maps is relatively new. The incentive to explore these spaces arose in the last forty years from geometry and physics. This monograph is the first to provide a unified, comprehensive treatment of Sobolev maps to the circle, presenting numerous results obtained by the authors and others. Many surprising connections to other areas of mathematics are explored, including the Monge-Kantorovich theory in optimal transport, items in geometric measure theory, Fourier series, and non-local functionals occurring, for example, as denoising filters in image processing. Numerous digressions provide a glimpse of the theory of sphere-valued Sobolev maps. </div><br><div>Each chapter focuses on a single topic and starts with a detailed overview, followed by the most significant results, and rather complete proofs. The "Complements and Open Problems" sections provide short introductions to various subsequent developments or related topics, and suggest new</div><div>directions of research. Historical perspectives and a comprehensive list of references close out each chapter. Topics covered include lifting, point and line singularities, minimal connections and minimal surfaces, uniqueness spaces, factorization, density, Dirichlet problems, trace theory, and gap phenomena.</div><div><br></div><div><i>Sobolev Maps to the Circle</i> will appeal to mathematicians working in various areas, such as nonlinear analysis, PDEs, geometric analysis, minimal surfaces, optimal transport, and topology. It will also be of interest to physicists working on liquid crystals and the Ginzburg-Landau theory of superconductors.</div><div><br></div>
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Boundary Synchronization For Hyperbolic Systems

by Bopeng Rao e Tatsien Li

101,38€ + 10% CARD

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 Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs).
ENGLISH

Brouwer Degree - The Core Of Nonlinear Analysis

by George Dinca e Jean Mawhin

148,70€ + 10% CARD

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 This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis.
ENGLISH

Brouwer Degree - The Core Of Nonlinear Analysis

by George Dinca e Jean Mawhin

145,09€ + 10% CARD

 This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis.
ENGLISH

Boundary Synchronization For Hyperbolic Systems

by Bopeng Rao e Tatsien Li

98,71€ + 10% CARD

 Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs).
ENGLISH

Boundary Synchronization For Hyperbolic Systems

by Bopeng Rao e Tatsien Li

148,70€ + 10% CARD

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 Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs).
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Elliptic Systems Of Phase Transition Type

by Giorgio Fusco, Nicholas D. Alikakos e Panayotis Smyrnelis

118,59€ + 10% CARD

 <p>This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes - non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978 De Giorgi conjecture for the scalar problem was settled in a series of papers: Ghoussoub and Gui (2d), Ambrosio and Cabré (3d), Savin (up to 8d), and del Pino, Kowalczyk and Wei (counterexample for 9d and above). This book extends, in various ways, the Caffarelli-Córdoba density estimates that played a major role in Savin''s proof. It also introduces an alternative method for obtaining pointwise estimates.<br><br> Key features and topics of this self-contained, systematic exposition include:</p><p>• Resolution of the structure of minimal solutions in the equivariant class, (a) for general point groups, and (b) for general discrete reflection groups, thus establishing the existence of previously unknown lattice solutions.</p><p>• Preliminary material beginning with the stress-energy tensor, via which monotonicity formulas, and Hamiltonian and Pohozaev identities are developed, including a self-contained exposition of the existence of standing and traveling waves.</p><p>• Tools that allow the derivation of general properties of minimizers, without any assumptions of symmetry, such as a maximum principle or density and pointwise estimates.</p><p>• Application of the general tools to equivariant solutions rendering exponential estimates, rigidity theorems and stratification results.<br> <br>This monograph is addressed to readers, beginning from the graduate level, with an interest in any of the following: differential equations - ordinary or partial; nonlinear analysis; the calculus of variations; the relationship of minimal surfaces to diffuse interfaces; or theapplied mathematics of materials science.</p><p></p><p></p>
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Boundary Stabilization Of Parabolic Equations

by Ionut Munteanu

118,59€ + 10% CARD

 <div>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.</div><div><br></div><div>The text provides answers to the following problems, which are of great practical importance:</div><div><ul><li>Designing the feedback law using a minimal set of eigenfunctions of the linear operator obtained from the linearized equation around the target state<br></li><li>Designing observers for the considered control systems<br></li><li>Constructing time-discrete controllers requiring only partial knowledge of the state<br></li></ul></div><div>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.<br></div><div> </div><div><i>Boundary Stabilization of Parabolic Equations</i> 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.</div>
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Controllability And Stabilization Of Parabolic Equations

by Viorel Barbu

121,66€ + 10% CARD

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 This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems.
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