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Advances in Mathematical Modeling, Optimization and Optimal Control

  • Jean-Baptiste Hiriart-Urruty
  • Adam Korytowski
  • Helmut Maurer
  • Maciej Szymkat

Part of the Springer Optimization and Its Applications book series (SOIA, volume 109)

About this book

Introduction

This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control. Students and researchers involved in image processing, partial differential inclusions, shape optimization, or optimal control theory and its applications to medical and rehabilitation technology, will find this book valuable.

The first chapter by Martin Burger provides an overview of recent developments related to Bregman distances, which is an important tool in inverse problems and image processing. The chapter by Piotr Kalita studies the operator version of a first order in time partial differential inclusion and its time discretization. In the chapter by Günter Leugering, Jan Sokołowski and Antoni Żochowski, nonsmooth shape optimization problems for variational inequalities are considered. The next chapter, by Katja Mombaur is devoted to applications of optimal control and inverse optimal control in the field of medical and rehabilitation technology, in particular in human movement analysis, therapy and improvement by means of medical devices. The final chapter, by Nikolai Osmolovskii and Helmut Maurer provides a survey on no-gap second order optimality conditions in the calculus of variations and optimal control, and a discussion of their further development.

Keywords

biomechanics image processing robot control Mathematical Modeling 16th French-German-Polish Conference on Optimization shape optimization optimal control in medical and rehabilitation technology topological optimization control of the Rayleigh equation optimal control of chemotherapy of HIV Pontryagin function applied mathematics automatic control Signorini type elliptic boundary value problems Partial Differential Equations Bregman Distances in Inverse Problems topological optimization

Editors and affiliations

  • Jean-Baptiste Hiriart-Urruty
    • 1
  • Adam Korytowski
    • 2
  • Helmut Maurer
    • 3
  • Maciej Szymkat
    • 4
  1. 1.Institut de MathématiquesUniversité Paul SabatierToulouseFrance
  2. 2.Department of Automatics and Bio. Engin.AGH University of Science and TechnologyKrakówPoland
  3. 3.University of MünsterInstitute of Computational and Appl. MatMünsterGermany
  4. 4.Department of Automatics and Bio.Eng.AGH University of Science and TechnologyKrakówPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-30785-5
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-30784-8
  • Online ISBN 978-3-319-30785-5
  • Series Print ISSN 1931-6828
  • Series Online ISSN 1931-6836
  • Buy this book on publisher's site