Singular Optimal Control Problems

Author : Anonim
Publisher : Elsevier
Page : 204 pages
File Size : 47,8 Mb
Release : 1975-10-29
Category : Mathematics
ISBN : 9780080956268

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Singular Optimal Control Problems by Anonim Pdf

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Author : D. J. Clements,B. D. O. Anderson
Publisher : Springer
Page : 93 pages
File Size : 44,6 Mb
Release : 2014-03-12
Category : Technology & Engineering
ISBN : 3662161397

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Singular Optimal Control: The Linear-Quadratic Problem by D. J. Clements,B. D. O. Anderson Pdf

Author : Valery Y. Glizer,Oleg Kelis
Publisher : Springer Nature
Page : 211 pages
File Size : 44,8 Mb
Release : 2022-08-29
Category : Mathematics
ISBN : 9783031070518

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Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems by Valery Y. Glizer,Oleg Kelis Pdf

This monograph is devoted to the analysis and solution of singular differential games and singular $H_{\inf}$ control problems in both finite- and infinite-horizon settings. Expanding on the authors’ previous work in this area, this novel text is the first to study the aforementioned singular problems using the regularization approach. After a brief introduction, solvability conditions are presented for the regular differential games and $H_{\inf}$ control problems. In the following chapter, the authors solve the singular finite-horizon linear-quadratic differential game using the regularization method. Next, they apply this method to the solution of an infinite-horizon type. The last two chapters are dedicated to the solution of singular finite-horizon and infinite-horizon linear-quadratic $H_{\inf}$ control problems. The authors use theoretical and real-world examples to illustrate the results and their applicability throughout the text, and have carefully organized the content to be as self-contained as possible, making it possible to study each chapter independently or in succession. Each chapter includes its own introduction, list of notations, a brief literature review on the topic, and a corresponding bibliography. For easier readability, detailed proofs are presented in separate subsections. Singular Linear-Quadratic Zero-Sum Differential Games and $H_{\inf}$ Control Problems will be of interest to researchers and engineers working in the areas of applied mathematics, dynamic games, control engineering, mechanical and aerospace engineering, electrical engineering, and biology. This book can also serve as a useful reference for graduate students in these area

Author : David J. Clements,Brian D. O. Anderson
Publisher : Springer
Page : 108 pages
File Size : 53,8 Mb
Release : 1978
Category : Control theory
ISBN : UOM:39015000981319

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Singular Optimal Control by David J. Clements,Brian D. O. Anderson Pdf

Author : El-Kébir Boukas
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 48,5 Mb
Release : 2008-01-12
Category : Technology & Engineering
ISBN : 9783540743453

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Control of Singular Systems with Random Abrupt Changes by El-Kébir Boukas Pdf

This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. Various problems and their robustness are tackled. The book examines both the theoretical and practical aspects of the control problems from the angle of the structural properties of linear systems. It can be used as a textbook as well as a reference for researchers in control or mathematics with interest in control theory.

Author : Gershon Wolansky,Alexander J. Zaslavski
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 44,9 Mb
Release : 2014-07-01
Category : Mathematics
ISBN : 9781470410773

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Variational and Optimal Control Problems on Unbounded Domains by Gershon Wolansky,Alexander J. Zaslavski Pdf

This 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).

Author : Martin Grötschel,Sven O. Krumke,Joerg Rambau
Publisher : Springer Science & Business Media
Page : 789 pages
File Size : 51,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662043318

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Online Optimization of Large Scale Systems by Martin Grötschel,Sven O. Krumke,Joerg Rambau Pdf

In 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.

Author : Semen Ya. Serovaiskii
Publisher : Walter de Gruyter
Page : 185 pages
File Size : 45,9 Mb
Release : 2011-12-01
Category : Mathematics
ISBN : 9783110915532

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Counterexamples in Optimal Control Theory by Semen Ya. Serovaiskii Pdf

This monograph deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other situations. A formal application of classical optimisation methods in such cases either leads to wrong results or has no effect. The detailed analysis of these examples should provide a better understanding of the modern theory of optimal control and the practical difficulties of solving extremum problems.

Author : Desineni S. Naidu
Publisher : IET
Page : 314 pages
File Size : 46,7 Mb
Release : 1988
Category : Technology & Engineering
ISBN : 086341107X

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Singular Perturbation Methodology in Control Systems by Desineni S. Naidu Pdf

This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).

Author : RICHARD BORTINS
Publisher : Unknown
Page : 110 pages
File Size : 50,8 Mb
Release : 1982
Category : Electronic
ISBN : OCLC:68292815

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ORDER AND JUNCTIONS IN SINGULAR OPTIMAL CONTROL PROBLEMS. by RICHARD BORTINS Pdf

violate r > 2q - 3p and other similar restrictions. These results clarify a recent partial proof of McDanell's conjecture and suggest a new framework for considering junction conditions.

Author : Mieczyslaw Altman
Publisher : World Scientific
Page : 297 pages
File Size : 53,5 Mb
Release : 1990-07-23
Category : Mathematics
ISBN : 9789814506724

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A Theory Of Optimization And Optimal Control For Nonlinear Evolution And Singular Equations by Mieczyslaw Altman Pdf

This research monograph offers a general theory which encompasses almost all known general theories in such a way that many practical applications can be obtained. It will be useful for mathematicians interested in the development of the abstract Control Theory with applications to Nonlinear PDE, as well as physicists, engineers, and economists looking for theoretical guidance in solving their optimal control problems; and graduate-level seminar courses in nonlinear applied functional analysis.

Author : Peter I. Kogut,Günter R. Leugering
Publisher : Springer Science & Business Media
Page : 639 pages
File Size : 55,8 Mb
Release : 2011-09-09
Category : Science
ISBN : 9780817681494

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Optimal Control Problems for Partial Differential Equations on Reticulated Domains by Peter I. Kogut,Günter R. Leugering Pdf

In the development of optimal control, the complexity of the systems to which it is applied has increased significantly, becoming an issue in scientific computing. In order to carry out model-reduction on these systems, the authors of this work have developed a method based on asymptotic analysis. Moving from abstract explanations to examples and applications with a focus on structural network problems, they aim at combining techniques of homogenization and approximation. Optimal Control Problems for Partial Differential Equations on Reticulated Domains is an excellent reference tool for graduate students, researchers, and practitioners in mathematics and areas of engineering involving reticulated domains.

Author : A. V. Fursikov
Publisher : American Mathematical Soc.
Page : 324 pages
File Size : 45,8 Mb
Release : 1999-11-16
Category : Mathematics
ISBN : 082189790X

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Optimal Control of Distributed Systems. Theory and Applications by A. V. Fursikov Pdf

This volume presents the analysis of optimal control problems for systems described by partial differential equations. The book offers simple and clear exposition of main results in this area. The methods proposed by the author cover cases where the controlled system corresponds to well-posed or ill-posed boundary value problems, which can be linear or nonlinear. The uniqueness problem for the solution of nonlinear optimal control problems is analyzed in various settings. Solutions of several previously unsolved problems are given. In addition, general methods are applied to the study of two problems connected with optimal control of fluid flows described by the Navier-Stokes equations.

Author : Terry A. Straeter
Publisher : Unknown
Page : 26 pages
File Size : 46,8 Mb
Release : 1970
Category : Extremal problems (Mathematics)
ISBN : UIUC:30112106859413

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Singular Extremaloids in Optimal Control Theory and the Calculus of Variations by Terry A. Straeter Pdf

This report demonstrates the relationships of the various definitions of extremaloids to optimal control problems and Lagrange problems based on Pontryagin principles.

Author : Oleg Gusikhin,Kurosh Madani
Publisher : Springer
Page : 812 pages
File Size : 42,5 Mb
Release : 2019-04-18
Category : Technology & Engineering
ISBN : 9783030112929

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Informatics in Control, Automation and Robotics by Oleg Gusikhin,Kurosh Madani Pdf

The book focuses the latest endeavours relating researches and developments conducted in fields of Control, Robotics and Automation. Through more than twenty revised and extended articles, the present book aims to provide the most up-to-date state-of-art of the aforementioned fields allowing researcher, PhD students and engineers not only updating their knowledge but also benefiting from the source of inspiration that represents the set of selected articles of the book. The deliberate intention of editors to cover as well theoretical facets of those fields as their practical accomplishments and implementations offers the benefit of gathering in a same volume a factual and well-balanced prospect of nowadays research in those topics. A special attention toward “Intelligent Robots and Control” may characterize another benefit of this book.