Advances in Mathematical Modeling, Optimization and Optimal Control

§This book contains an§in-depth presentation of the plenary talks given 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 results and applications in§mathematical modeling, optimization, and optimal control. Students and§researchers involved in image processing, partial differential inclusions,§shape optimization, 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 are vital 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 Sokolowski and§Antoni _ochowski, 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.§