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Advances in Mathematical Modeling, Optimization and Optimal Control: Springer Optimization and Its Applications, cartea 109

Editat de Jean-Baptiste Hiriart-Urruty, Adam Korytowski, Helmut Maurer, Maciej Szymkat
en Limba Engleză Hardback – 27 mai 2016
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 firstorder 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.
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Specificații

ISBN-13: 9783319307848
ISBN-10: 3319307843
Pagini: 200
Ilustrații: V, 201 p. 20 illus., 15 illus. in color.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.47 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria Springer Optimization and Its Applications

Locul publicării:Cham, Switzerland

Cuprins

Introduction. - Bregman Distances in Inverse Problems and Partial Differential Equations (Martin Burger).- On global attractor for parabolic partial differential inclusion and its time semi-discretization (Piotr Kalita). -Passive control of singularities by topological optimization (Günter Leugering, Jan Sokołowski and Antoni Żochowski).  - Optimal Control for Applications in Medical and Rehabilitation Technology (Katja Mombaur). - Second-Order Optimality Conditions for Broken Extremals and Bang-Bang Controls ( Nikolai P. Osmolovskii and Helmut Maurer). 

Textul de pe ultima copertă

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.


Caracteristici

Treats both theoretical and practical aspects of image processing, partial differential inclusions, shape optimization, and optimal control Contains applications to medical and rehabilitation technology Includes new theoretical results and applications in biomechanics, medical technology, image processing, and robotic control Includes supplementary material: sn.pub/extras