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This book presents 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 offers a comprehensive examination of new theoretical and application-oriented results in mathematical modeling, optimization, and optimal control. It is particularly valuable for students and researchers engaged in image processing, partial differential inclusions, shape optimization, and optimal control theory as applied to medical and rehabilitation technology. The first chapter by Martin Burger discusses recent advancements in Bregman distances, crucial for inverse problems and image processing. Piotr Kalita's chapter explores the operator version of a first-order in time partial differential inclusion and its time discretization. The chapter by Günter Leugering, Jan Sokołowski, and Antoni Żochowski addresses nonsmooth shape optimization problems related to variational inequalities. Katja Mombaur's chapter focuses on optimal control and inverse optimal control applications in medical and rehabilitation technology, particularly in human movement analysis and therapy through medical devices. The final chapter by Nikolai Osmolovskii and Helmut Maurer surveys no-gap second-order optimality conditions in the calculus of variations and optimal control, discussing their further development.
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Advances in Mathematical Modeling, Optimization and Optimal Control, Jean Baptiste Hiriart Urruty
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- 2018
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