Optimal Control of ODEs and DAEs
Author: Matthias Gerdts
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2023-11-06
Total Pages: 484
ISBN-13: 3110797895
DOWNLOAD EBOOKPosts
Variational and Optimal Control Problems on Unbounded Domains
Author: Gershon Wolansky
Publisher: American Mathematical Soc.
Published: 2014-07-01
Total Pages: 266
ISBN-13: 147041077X
DOWNLOAD EBOOKThis volume contains the proceedings of the workshop on Variational and Optimal Control Problems on Unbounded Domains, held in memory of Arie Leizarowitz, from January 9-12, 2012, in Haifa, Israel. The workshop brought together a select group of worldwide experts in optimal control theory and the calculus of variations, working on problems on unbounded domains. The papers in this volume cover many different areas of optimal control and its applications. Topics include needle variations in infinite-horizon optimal control, Lyapunov stability with some extensions, small noise large time asymptotics for the normalized Feynman-Kac semigroup, linear-quadratic optimal control problems with state delays, time-optimal control of wafer stage positioning, second order optimality conditions in optimal control, state and time transformations of infinite horizon problems, turnpike properties of dynamic zero-sum games, and an infinite-horizon variational problem on an infinite strip. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).
Online Optimization of Large Scale Systems
Author: Martin Grötschel
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 789
ISBN-13: 3662043319
DOWNLOAD EBOOKIn its thousands of years of history, mathematics has made an extraordinary ca reer. It started from rules for bookkeeping and computation of areas to become the language of science. Its potential for decision support was fully recognized in the twentieth century only, vitally aided by the evolution of computing and communi cation technology. Mathematical optimization, in particular, has developed into a powerful machinery to help planners. Whether costs are to be reduced, profits to be maximized, or scarce resources to be used wisely, optimization methods are available to guide decision making. Opti mization is particularly strong if precise models of real phenomena and data of high quality are at hand - often yielding reliable automated control and decision proce dures. But what, if the models are soft and not all data are around? Can mathematics help as well? This book addresses such issues, e. g. , problems of the following type: - An elevator cannot know all transportation requests in advance. In which order should it serve the passengers? - Wing profiles of aircrafts influence the fuel consumption. Is it possible to con tinuously adapt the shape of a wing during the flight under rapidly changing conditions? - Robots are designed to accomplish specific tasks as efficiently as possible. But what if a robot navigates in an unknown environment? - Energy demand changes quickly and is not easily predictable over time. Some types of power plants can only react slowly.
Optimization, Dynamics, and Economic Analysis
Author: Engelbert J. Dockner
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 434
ISBN-13: 3642576842
DOWNLOAD EBOOKThis book includes a collection of articles that present recent developments in the fields of optimization and dynamic game theory, economic dynamics, dynamic theory of the firm, and population dynamics and non standard applications of optimal control theory. The authors of the articles are well respected authorities in their fields and are known for their high quality research in the fields of optimization and economic dynamics.
Perturbation Analysis of Optimization Problems
Author: J.Frederic Bonnans
Publisher: Springer Science & Business Media
Published: 2013-11-22
Total Pages: 618
ISBN-13: 1461213940
DOWNLOAD EBOOKA presentation of general results for discussing local optimality and computation of the expansion of value function and approximate solution of optimization problems, followed by their application to various fields, from physics to economics. The book is thus an opportunity for popularizing these techniques among researchers involved in other sciences, including users of optimization in a wide sense, in mechanics, physics, statistics, finance and economics. Of use to research professionals, including graduate students at an advanced level.
Fast Solution of Discretized Optimization Problems
Author: Karl-Heinz Hoffmann
Publisher: Springer Science & Business Media
Published: 2001-09-01
Total Pages: 308
ISBN-13: 9783764365998
DOWNLOAD EBOOKA collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. This welcome reference for many new results and recent methods is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory.
Optimal Control and Dynamic Games
Author: Christophe Deissenberg
Publisher: Springer Science & Business Media
Published: 2005-11-03
Total Pages: 351
ISBN-13: 0387258051
DOWNLOAD EBOOKOptimal Control and Dynamic Games has been edited to honor the outstanding contributions of Professor Suresh Sethi in the fields of Applied Optimal Control. Professor Sethi is internationally one of the foremost experts in this field. He is, among others, co-author of the popular textbook "Sethi and Thompson: Optimal Control Theory: Applications to Management Science and Economics". The book consists of a collection of essays by some of the best known scientists in the field, covering diverse aspects of applications of optimal control and dynamic games to problems in Finance, Management Science, Economics, and Operations Research. In doing so, it provides both a state-of-the-art overview over recent developments in the field, and a reference work covering the wide variety of contemporary questions that can be addressed with optimal control tools, and demonstrates the fruitfulness of the methodology.
Advances in Mathematical Modeling, Optimization and Optimal Control
Author: Jean-Baptiste Hiriart-Urruty
Publisher: Springer
Published: 2016-05-19
Total Pages: 205
ISBN-13: 3319307851
DOWNLOAD EBOOKThis 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.
Infinite Dimensional Optimization and Control Theory
Author: Hector O. Fattorini
Publisher: Cambridge University Press
Published: 1999-03-28
Total Pages: 828
ISBN-13: 9780521451253
DOWNLOAD EBOOKTreats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.
Mathematical Programming with Data Perturbations
Author: Anthony V. Fiacco
Publisher: CRC Press
Published: 2020-09-24
Total Pages: 460
ISBN-13: 1000153665
DOWNLOAD EBOOKPresents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.
