The purpose of the book is to present the basic results in the theory of two-person zero-sum repeated games including stochastic games and repeated games with incomplete information. It underlines their relation through the operator approach and covers both asymptotic and uniform properties. The monograph is self-contained including presentation of incomplete information games, minmax theorems and approachability results. It is adressed to graduate students with no previous knowledge of the field.
The purpose of the book is to present the basic results in the theory of two-person zero-sum repeated games including stochastic games and repeated ga...
Shells and plates have been widely studied by engineers during the last fifty years. As a matter of fact an important number of papers have been based on analytical calculations. More recently numerical simulations have been extensively used. for instance for large displacement analysis. for shape optimization or even -in linear analysis -for composite material understanding. But all these works lie on a choice of a finite element scheme which contains usually three kinds of approximations: 1. a plate or shell mndel including smnll parameters associated to the thickness, 2. an approximntion...
Shells and plates have been widely studied by engineers during the last fifty years. As a matter of fact an important number of papers have been based...
In this introductory textbook, a revised and extended version of well-known lectures by L. Hormander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave or Klein-Gordon equation with small initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with pseudodifferential operators which are...
In this introductory textbook, a revised and extended version of well-known lectures by L. Hormander from 1986, four chapters are devoted to weak solu...
Analyses the role of singular trajectories in control theory, containing about 60 exercises and problems. This book looks at the applications of singular trajectories to the optimisation of batch reactors. The theoretical part based on the Martinet case concerns the singularity analysis of singular trajectories in sub-Riemannian geometry.
Analyses the role of singular trajectories in control theory, containing about 60 exercises and problems. This book looks at the applications of singu...
This book is devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The text outlines examples of applicability, introduces geometric methods in control theory, and analyzes single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated.
This book is devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The text outlines examples of applicabili...
Cet ouvrage decrit une methodologie et un savoir-faire pour la construction effective de modeles en analyse d'images. Les taches d'imagerie y sont le plus souvent formalisees comme des problemes inverses solutionnes dans un cadre Bayesien. Ce livre est organise en 3 parties. Les 2 premieres decrivent les bases necessaires aux modeles developpes dans la troisieme partie sous la forme d' energie. Ces bases sont les splines et les champs aleatoires. La plupart des modeles sont issus de projets industriels auxquels l'auteur a participe en radiographie et en controle non destructif: suivi de...
Cet ouvrage decrit une methodologie et un savoir-faire pour la construction effective de modeles en analyse d'images. Les taches d'imagerie y sont le ...
This book highlights recent mathematical developments in emerging biomedical imaging techniques, with a focus is on multi-physics and multi-scales imaging approaches. It provides the basic mathematical concepts and tools for image reconstruction.
This book highlights recent mathematical developments in emerging biomedical imaging techniques, with a focus is on multi-physics and multi-scales ...
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a ?nite number of ?exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables, transposition, ...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the...
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a ?nite number of ?exible strings d- tr...
Unlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are established, readers can apply them to solve other control problems of partial differential equations.
Unlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are...
This book focuses mainly on fractional Brownian fields and their extensions. It has been used to teach graduate students at Grenoble and Toulouse's Universities. It is as self-contained as possible and contains numerous exercises, with solutions in an appendix. After a foreword by Stephane Jaffard, a long first chapter is devoted to classical results from stochastic fields and fractal analysis. A central notion throughout this book is self-similarity, which is dealt with in a second chapter with a particular emphasis on the celebrated Gaussian self-similar fields, called fractional Brownian...
This book focuses mainly on fractional Brownian fields and their extensions. It has been used to teach graduate students at Grenoble and Toulouse's Un...
