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ENGLISH

Time-Delayed Linear Quadratic Optimal Control Problems

by Jingtao Shi, Jiongmin Yong e Weijun Meng

~~66,24€~~ 59,62€ 10% OFF

 This book characterizes the open-loop and closed-loop solvability for time-delayed linear quadratic optimal control problems. Different from the existing literature, in the current book, we present a theory of deterministic LQ problems with delays which has several new features:Our system is time-varying, with both the state equation and cost functional being allowed to include discrete and distributed delays, both in the state and the control. We take different approaches to discuss the unboundedness of the control operator.The open-loop solvability of the lifted problem is characterized by the solvability of a system of forward-backward integral evolution equations and the convexity condition of the cost functional. Surprisingly, the adjoint equations involve some coupled partial differential equations, which is significantly different from that in the literature, where, the adjoint equations are all some anticipated backward ordinary differential equations.The closed-loop solvability is characterized by the solvability of three equivalent integral operator-valued Riccati equations and two equivalent backward integral evolution equations which are much easier to handle than the differential operator-valued Riccati equations used in the literature to study similar problems.The closed-loop representation of open-loop optimal control is presented through three equivalent integral operator-valued Riccati equations.
ENGLISH

Control In Finite And Infinite Dimension

by Emmanuel Trelat

~~66,24€~~ 59,62€ 10% OFF

 This book is the result of various master and summer school courses the author has taught. The author hopes this book will serve as motivation to go deeper into the theory or numerical aspects that are not covered in this book. This book might be helpful for graduate students and researchers in the field of control theory.
ENGLISH

Identifiability And Observability In Epidemiological Models - A Primer

by Abderrahman Iggidr, Alain Rapaport, Frederic Hamelin, Gauthier Sallet e Nik Cunniffe

~~52,99€~~ 47,69€ 10% OFF

 This book introduces the concepts of identifiability and observability in mathematical epidemiology, as well as those of observers’ constructions. It first exposes and illustrates on several examples the mathematical definitions and properties of observability and identifiability. A chapter is dedicated to the well-known Kermack McKendrick model, for which the complete analysis of identifiability and observability is not available in the literature. Then, several techniques of observer constructions, in view of online estimation of state and parameters, are presented and deployed on several models. New developments relevant for applications in epidemiology are also given. Finally, practical considerations are discussed with data and numerical simulations related to models previously analysed in the book.The book will be appealing to epidemiological modellers and mathematicians working on models in epidemiology.This book contributes to Sustainable Development Goal 3 (SDG3): Good Health and Well Being.
ENGLISH

Notes On Tug-Of-War Games And The P-Laplace Equation

by Mikko Parviainen

~~31,08€~~ 27,97€ 10% OFF

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 This book addresses the interplay between stochastic processes and partial differential equations.
ENGLISH

Optimal Transport And Applications To Geometric Optics

by Cristian E. Gutierrez

~~31,08€~~ 27,97€ 10% OFF

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 This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem.
ENGLISH

Notes On Tug-Of-War Games And The P-Laplace Equation

by Mikko Parviainen

~~52,99€~~ 47,69€ 10% OFF

 This book addresses the interplay between stochastic processes and partial differential equations.
ENGLISH

Optimal Transport And Applications To Geometric Optics

by Cristian E. Gutierrez

~~52,99€~~ 47,69€ 10% OFF

 This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem.
ENGLISH

Time Dependent Phase Space Filters - A Stable Absorbing Boundary Condition

by Avy Soffer, Chris Stucchio e Minh-Binh Tran

59,61€ + 10% CARD

 This book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schrödinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schrödinger equations.Researchers who are interested in partial differential equations and mathematical physics might find this book appealing.
ENGLISH

Variational Theory Of Convolution-Type Functionals

by Andrea Braides, Andrey Piatnitski, Antonio Tribuzio, Nadia Ansini e Roberto Alicandro

59,61€ + 10% CARD

 This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymptotic analysis of such non-local functionals is performed, via Gamma-convergence, in order to show that the limit may be a local functional representable as an integral. Energies of this form are encountered in many different contexts and the interest in building up a general theory is also motivated by the multiple interests in applications (e.g. peridynamics theory, population dynamics phenomena and data science). The results obtained are applied to periodic and stochastic homogenization, perforated domains, gradient flows, and point-clouds models.This book is mainly intended for mathematical analysts and applied mathematicians who are also interested in exploring further applications of the theory to pass from a non-local to a local description, both in static problems and in dynamic problems.
ENGLISH

Energetic Relaxation To Structured Deformations - A Multiscale Geometrical Basis For Variational Problems In Continuum Mechanics

by David R. Owen, José Matias e Marco Morandotti

59,61€ + 10% CARD

 <div><div>This book is the first organized collection of some results that have been obtained by the authors, their collaborators, and other researchers in the variational approach to structured deformations. It sets the basis and makes more accessible the theoretical apparatus for assigning an energy to a structured deformation, thereby providing motivation to researchers in applied mathematics, continuum mechanics, engineering, and materials science to study the deformation of a solid body without committing at the outset to a specific mechanical theory. Researchers will benefit from an approach in which elastic, plastic, and fracture phenomena can be treated in a unified way.</div></div><div> </div>The book is intended for an audience acquainted with measure theory, the theory of functions of bounded variation, and continuum mechanics. Any students in their last years of undergraduate studies, graduate students, and researchers with a background in applied mathematics, thecalculus of variations, and continuum mechanics will have the prerequisite to read this book.
ENGLISH

Pde-Constrained Optimization Within Freefem

by Emmanuel Trelat, Frederic Hecht e Gontran Lance

~~54,06€~~ 48,65€ 10% OFF

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ENGLISH

Identifiability And Observability In Epidemiological Models - A Primer

by Abderrahman Iggidr, Alain Rapaport, Frederic Hamelin, Gauthier Sallet e Nik Cunniffe

~~31,08€~~ 27,97€ 10% OFF

free shipping
ENGLISH

Time-Delayed Linear Quadratic Optimal Control Problems

by Jingtao Shi, Jiongmin Yong e Weijun Meng

~~67,58€~~ 60,82€ 10% OFF

free shipping
ENGLISH

A Variational Theory Of Convolution-Type Functionals

by Andrea Braides, Andrey Piatnitski, Antonio Tribuzio, Nadia Ansini e Roberto Alicandro

31,08€ + 10% CARD

free shipping
ENGLISH

Helix Network Theory - The Dynamic Structure And Evolution Of Economy And Society

by Runyuan Gan

175,73€ + 10% CARD

free shipping
ENGLISH

Energetic Relaxation To Structured Deformations - A Multiscale Geometrical Basis For Variational Problems In Continuum Mechanics

by David R. Owen, José Matias e Marco Morandotti

31,08€ + 10% CARD

free shipping
ENGLISH

Control In Finite And Infinite Dimension

by Emmanuel Trelat

45,01€

free shipping

OUT OF STOCK OR NOT AVAILABLE

 This book is the result of various master and summer school courses the author has taught. The author hopes this book will serve as motivation to go deeper into the theory or numerical aspects that are not covered in this book. This book might be helpful for graduate students and researchers in the field of control theory.

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