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Optimal Control

Optimal Control Author V. M. Alekseev
ISBN-10 9781461575511
Release 2013-12-11
Pages 309
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There is an ever-growing interest in control problems today, con nected with the urgent problems of the effective use of natural resources, manpower, materials, and technology. When referring to the most important achievements of science and technology in the 20th Century, one usually mentions the splitting of the atom, the exploration of space, and computer engineering. Achievements in control theory seem less spectacular when viewed against this background, but the applications of control theory are playing an important role in the development of modern civilization, and there is every reason to believe that this role will be even more signifi cant in the future. Wherever there is active human participation, the problem arises of finding the best, or optimal, means of control. The demands of economics and technology have given birth to optimization problems which, in turn, have created new branches of mathematics. In the Forties, the investigation of problems of economics gave rise to a new branch of mathematical analysis called linear and convex program ming. At that time, problems of controlling flying vehicles and technolog ical processes of complex structures became important. A mathematical theory was formulated in the mid-Fifties known as optimal control theory. Here the maximum principle of L. S. Pontryagin played a pivotal role. Op timal control theory synthesized the concepts and methods of investigation using the classical methods of the calculus of variations and the methods of contemporary mathematics, for which Soviet mathematicians made valuable contributions.



Geometric Optimal Control

Geometric Optimal Control Author Heinz Schättler
ISBN-10 9781461438342
Release 2012-06-26
Pages 640
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This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard procedures and can be used to obtain a full understanding of the global structure of solutions for the underlying problem. The text includes a large number and variety of fully worked out examples that range from the classical problem of minimum surfaces of revolution to cancer treatment for novel therapy approaches. All these examples, in one way or the other, illustrate the power of geometric techniques and methods. The versatile text contains material on different levels ranging from the introductory and elementary to the advanced. Parts of the text can be viewed as a comprehensive textbook for both advanced undergraduate and all level graduate courses on optimal control in both mathematics and engineering departments. The text moves smoothly from the more introductory topics to those parts that are in a monograph style were advanced topics are presented. While the presentation is mathematically rigorous, it is carried out in a tutorial style that makes the text accessible to a wide audience of researchers and students from various fields, including the mathematical sciences and engineering. Heinz Schättler is an Associate Professor at Washington University in St. Louis in the Department of Electrical and Systems Engineering, Urszula Ledzewicz is a Distinguished Research Professor at Southern Illinois University Edwardsville in the Department of Mathematics and Statistics.



Optimal Control of Random Sequences in Problems with Constraints

Optimal Control of Random Sequences in Problems with Constraints Author A.B. Piunovskiy
ISBN-10 9789401155083
Release 2012-12-06
Pages 348
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Controlled stochastic processes with discrete time form a very interest ing and meaningful field of research which attracts widespread attention. At the same time these processes are used for solving of many applied problems in the queueing theory, in mathematical economics. in the theory of controlled technical systems, etc. . In this connection, methods of the theory of controlled processes constitute the every day instrument of many specialists working in the areas mentioned. The present book is devoted to the rather new area, that is, to the optimal control theory with functional constraints. This theory is close to the theory of multicriteria optimization. The compromise between the mathematical rigor and the big number of meaningful examples makes the book attractive for professional mathematicians and for specialists who ap ply mathematical methods in different specific problems. Besides. the book contains setting of many new interesting problems for further invf'stigatioll. The book can form the basis of special courses in the theory of controlled stochastic processes for students and post-graduates specializing in the ap plied mathematics and in the control theory of complex systf'ms. The grounding of graduating students of mathematical department is sufficient for the perfect understanding of all the material. The book con tains the extensive Appendix where the necessary knowledge ill Borel spaces and in convex analysis is collected. All the meaningful examples can be also understood by readers who are not deeply grounded in mathematics.



Applied Mathematical Modelling of Engineering Problems

Applied Mathematical Modelling of Engineering Problems Author N.V. Hritonenko
ISBN-10 9781441991607
Release 2013-04-17
Pages 286
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The subject of the book is the "know-how" of applied mathematical modelling: how to construct specific models and adjust them to a new engineering environment or more precise realistic assumptions; how to analyze models for the purpose of investigating real life phenomena; and how the models can extend our knowledge about a specific engineering process. Two major sources of the book are the stock of classic models and the authors' wide experience in the field. The book provides a theoretical background to guide the development of practical models and their investigation. It considers general modelling techniques, explains basic underlying physical laws and shows how to transform them into a set of mathematical equations. The emphasis is placed on common features of the modelling process in various applications as well as on complications and generalizations of models. The book covers a variety of applications: mechanical, acoustical, physical and electrical, water transportation and contamination processes; bioengineering and population control; production systems and technical equipment renovation. Mathematical tools include partial and ordinary differential equations, difference and integral equations, the calculus of variations, optimal control, bifurcation methods, and related subjects.



Foundations of Optimization

Foundations of Optimization Author Osman Güler
ISBN-10 0387684077
Release 2010-08-03
Pages 442
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This book covers the fundamental principles of optimization in finite dimensions. It develops the necessary material in multivariable calculus both with coordinates and coordinate-free, so recent developments such as semidefinite programming can be dealt with.



Mathematics Across Contemporary Sciences

Mathematics Across Contemporary Sciences Author Taher Abualrub
ISBN-10 9783319463100
Release 2017-02-24
Pages 259
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This work presents invited contributions from the second "International Conference on Mathematics and Statistics" jointly organized by the AUS (American University of Sharjah) and the AMS (American Mathematical Society). Addressing several research fields across the mathematical sciences, all of the papers were prepared by faculty members at universities in the Gulf region or prominent international researchers. The current volume is the first of its kind in the UAE and is intended to set new standards of excellence for collaboration and scholarship in the region.



Generalized Functions in Mathematical Physics

Generalized Functions in Mathematical Physics Author A. S. Demidov
ISBN-10 1560729058
Release 2001
Pages 131
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This important book gives an interconnected presentation of some basic ideas, concepts, results of the theory of generalised functions (first of all, in the framework of the theory of distributions) and equations of mathematical physics. A part of the material is given according to the scheme: definition -- theorem -- proof. This scheme is convenient for presenting results in clear and concentrated form. However, it seems reasonable to give a student the possibility not only to study a priori given definitions and proofs of theorems, but also to discover them while considering the problems involved. A series of sections serve this purpose. Moreover, a part of the material is given as exercises and problems.



Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications

Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications Author A. Anzaldo-Meneses
ISBN-10 9789810248413
Release 2002
Pages 476
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Concerns contemporary trends in nonlinear geometric control theory and its applications.



SIAM Journal on Control and Optimization

SIAM Journal on Control and Optimization Author
ISBN-10 UCSD:31822036010981
Release 2006
Pages
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SIAM Journal on Control and Optimization has been writing in one form or another for most of life. You can find so many inspiration from SIAM Journal on Control and Optimization also informative, and entertaining. Click DOWNLOAD or Read Online button to get full SIAM Journal on Control and Optimization book for free.



Moving Horizon Control with Input Saturation Disturbances and Plant Uncertainty

Moving Horizon Control with Input Saturation  Disturbances and Plant Uncertainty Author Thomas Hyunsuck Yang
ISBN-10 UCAL:C3370563
Release 1991
Pages 310
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Moving Horizon Control with Input Saturation Disturbances and Plant Uncertainty has been writing in one form or another for most of life. You can find so many inspiration from Moving Horizon Control with Input Saturation Disturbances and Plant Uncertainty also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Moving Horizon Control with Input Saturation Disturbances and Plant Uncertainty book for free.



Homotopy of Extremal Problems

Homotopy of Extremal Problems Author Stanislav Vasilʹevich Emelʹi͡anov
ISBN-10 UVA:X030249723
Release 2007
Pages 303
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This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter. The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications are considered, e.g., variational calculus, control theory and bifurcations theory. Thorough treatment of parameter-dependent extremal problems with local minimum values. Includes many applications, e.g., variational calculus, control theory and bifurcations theory. Intended for specialists in the field of nonlinear analysis and its applications as well as for students specializing in these subjects.



DCDS A

DCDS A Author
ISBN-10 UOM:39015072637450
Release 2009
Pages
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DCDS A has been writing in one form or another for most of life. You can find so many inspiration from DCDS A also informative, and entertaining. Click DOWNLOAD or Read Online button to get full DCDS A book for free.



Russian Mathematical Surveys

Russian Mathematical Surveys Author
ISBN-10 UOM:39015053951953
Release 2001
Pages
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Russian Mathematical Surveys has been writing in one form or another for most of life. You can find so many inspiration from Russian Mathematical Surveys also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Russian Mathematical Surveys book for free.



Proceedings of the Steklov Institute of Mathematics

Proceedings of the Steklov Institute of Mathematics Author
ISBN-10 UCSC:32106012515869
Release 1999
Pages 309
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Proceedings of the Steklov Institute of Mathematics has been writing in one form or another for most of life. You can find so many inspiration from Proceedings of the Steklov Institute of Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Proceedings of the Steklov Institute of Mathematics book for free.



Vector Valued Optimization Problems in Control Theory

Vector Valued Optimization Problems in Control Theory Author Casti
ISBN-10 9780080956565
Release 1980-06-19
Pages 218
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Vector-Valued Optimization Problems in Control Theory



Modern Control Theory

Modern Control Theory Author Zdzislaw Bubnicki
ISBN-10 9783540280873
Release 2005-12-06
Pages 424
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Well-written, practice-oriented textbook, and compact textbook Presents the contemporary state of the art of control theory and its applications Introduces traditional problems that are useful in the automatic control of technical processes, plus presents current issues of control Explains methods can be easily applied for the determination of the decision algorithms in computer control and management systems



Subject Guide to Books in Print

Subject Guide to Books in Print Author
ISBN-10 STANFORD:36105025888517
Release 2003
Pages
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Subject Guide to Books in Print has been writing in one form or another for most of life. You can find so many inspiration from Subject Guide to Books in Print also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Subject Guide to Books in Print book for free.