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Optimal Transport for Applied Mathematicians
This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proof…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-20827-5
- Collation
- XXVII, 353
- Series Title
- Progress in Nonlinear Differential Equations and Their Applications
- Call Number
- -
Optimal Control of Stochastic Difference Volterra Equations
This book showcases a subclass of hereditary systems, that is, systems with behaviour depending not only on their current state but also on their past history; it is an introduction to the mathematical theory of optimal control for stochastic difference Volterra equations of neutral type. As such, it will be of much interest to researchers interested in modelling processes in physics, mechanics…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-13238-9
- Collation
- X, 220
- Series Title
- Studies in Systems, Decision and Control
- Call Number
- -
Optimal Control for Mathematical Models of Cancer Therapies
This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions …
- Edition
- 1
- ISBN/ISSN
- 978-1-4939-2971-9
- Collation
- XIX, 496
- Series Title
- Interdisciplinary Applied Mathematics
- Call Number
- -
Optimal Control
This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditio…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-84240-0
- Collation
- XV, 209
- Series Title
- -
- Call Number
- -
Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary. The wave equation is used as a typical example of a linear system, through which the author explores initial boundary value problems, concepts of exact controllability, optimal exac…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-18889-8
- Collation
- VIII, 140
- Series Title
- SpringerBriefs in Electrical and Computer Engineering
- Call Number
- -
Mixed-Integer Representations in Control Design:Mathematical Foundations and …
In this book, the authors propose efficient characterizations of the non-convex regions that appear in many control problems, such as those involving collision/obstacle avoidance and, in a broader sense, in the description of feasible sets for optimization-based control design involving contradictory objectives. The text deals with a large class of systems that require the solution of appro…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26993-1
- Collation
- XII
- Series Title
- SpringerBriefs in Electrical and Computer Engineering
- Call Number
- -
Generalized Adjoint Systems
Topics Calculus of Variations and Optimization,
- Edition
- -
- ISBN/ISSN
- 978-3-319-16651-3
- Collation
- -
- Series Title
- -
- Call Number
- 512
Multiple Shooting and Time Domain Decomposition Methods:MuS-TDD, Heidelberg, …
This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms. The range of topics covers theoreti…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-23320-8
- Collation
- X, 422
- Series Title
- Contributions in Mathematical and Computational Sciences
- Call Number
- -
Elliptic Regularity Theory A First Course
These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinui…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27485-0
- Collation
- XII, 201
- Series Title
- -
- Call Number
- -
Mixed-Integer Representations in Control Design
Ionela PRODAN received the B.Eng. degree from the University “Politehnica” of Bucharest, Romania in 2009 and the PhD degree in Control Engineering from Supélec, Gif-sur-Yvette, France in 2012. She followed a postdoctoral fellowship within the Chair on Systems Science and the Energetic Challenge - EDF, École Centrale Paris and Supélec, France from 2013 to 2014. Her PhD thesis “Control o…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26993-1
- Collation
- XII, 107
- Series Title
- SpringerBriefs in Electrical and Computer Engineering
- Call Number
- -
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