Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations

Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations

Italo Capuzzo-Dolcetta / Martino Bardi

46,39 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2013
ISBN:
9781489902603
46,39 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)
Sobre IBD

The purpose of the present book is to offer an up-to-date account of the theory of viscosity solutions of first order partial differential equations of Hamilton-Jacobi type and its applications to optimal deterministic control and differential games. The theory of viscosity solutions, initiated in the early 80’s by the papers of M.G. Crandall and P.L. Lions [CL81, CL83], M.G. Crandall, L.C. Evans and P.L. Lions [CEL84] and P.L. Lions’ influential monograph [L82], provides an - tremely convenient PDE framework for dealing with the lack of smoothness of the value functions arising in dynamic optimization problems. The leading theme of this book is a description of the implementation of the viscosity solutions approach to a number of significant model problems in op- real deterministic control and differential games. We have tried to emphasize the advantages offered by this approach in establishing the well-posedness of the c- responding Hamilton-Jacobi equations and to point out its role (when combined with various techniques from optimal control theory and nonsmooth analysis) in the important issue of feedback synthesis.

Artículos relacionados

  • INTRODUCTION TO LINEAR OPTIMIZATION
    Arkadi Nemirovski / NEMIROVSKI ARKADI
    The book presents a graduate level, rigorous, and self-contained introduction to linear optimization (LO), the presented topics beingexpressive abilities of LO;geometry of LO - structure of polyhedral sets, LO duality and its applications;traditional LO algorithms - primal and dual simplex methods, and network simplex method;polynomial time solvability of LO via ellipsoid algor...
  • INTRODUCTION TO LINEAR OPTIMIZATION
    Arkadi Nemirovski / NEMIROVSKI ARKADI
    The book presents a graduate level, rigorous, and self-contained introduction to linear optimization (LO), the presented topics beingexpressive abilities of LO;geometry of LO - structure of polyhedral sets, LO duality and its applications;traditional LO algorithms - primal and dual simplex methods, and network simplex method;polynomial time solvability of LO via ellipsoid algor...
    Disponible

    88,43 €

  • CONTINUOUS-TIME MARKOV-MODULATED CHAINS OPERATIONS RESEARCH
    Alexander Andronov / ANDRONOV ALEXANDER / Kristina Mahareva / KRISTINA MAHAREVA ALEXANDER ANDRONOV
    Probabilistic models are widely used for description and an analysis of various processes in system reliability, risk, queuing, data communication, logistic and storage systems. The book contains various applications of the theory of continuous-time Markov-modulated processes in operation research. All analytical results are illustrated by numerical computations. Used algorithm...
  • SHADOWS OF THE CIRCLE (2ND ED)
    HANSEN VAGN LUNDSGAARD / Vagn Lundsgaard Hansen
    The ancient Greeks were the first to seriously ask for scientific explanations of the panorama of the heavens based on mathematical ideas. Ever since, mathematics has played a major role for human perception and description of the outside physical world, and in a larger perspective for comprehending the universe. This second edition pays tribute to this line of thought and take...
  • Optimization of Dynamical Systems with Impulse Controls and Shocks
    Boris Miller / Evgeny Rubinovich
    This text explores the state-of-the-art in the rapidly developing theory of impulse control and introduces the theory of singular space-time transformations, a new method for studying shock mechanical systems. Two approaches in the theory of impulse control are presented: The first, more traditional approach defines the impulsive action as a discontinuity of phase coordinates d...
  • Applications of Advanced Optimization Techniques in Industrial Engineering
    This book provides different approaches used to analyze, draw attention, and provide an understanding of the advancements in the optimization field across the globe. ...

Otros libros del autor

  • Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations
    Italo Capuzzo-Dolcetta / Martino Bardi
    This softcover book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamilton-Jacobi type and its interplay with Bellman’s dynamic programming approach to optimal control and differential games. It will be of interest to scientists involved in the theory of optimal control of determinis...
    Disponible

    169,35 €