Mathematical Control Theory Sontag Pdf

Author: Jerzy Zabczyk
Publisher: Springer Science & Business Media
ISBN: 0817647333
Size: 64.85 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 260

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Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems. "Covers a remarkable number of topics....The book presents a large amount of material very well, and its use is highly recommended." --Bulletin of the AMS

Author: Eduardo D. Sontag
Publisher: Springer Science & Business Media
ISBN: 1461205778
Size: 55.18 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 532

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Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.

Author: John B. Baillieul
Publisher: Springer
ISBN: 9781461271369
Size: 34.35 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 360

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This volume on mathematical control theory contains high quality articles covering the broad range of this field. The internationally renowned authors provide an overview of many different aspects of control theory, offering a historical perspective while bringing the reader up to the very forefront of current research.

Author: Madhu N. Belur
Publisher: Springer
ISBN: 9783319210025
Size: 60.10 MB
Format: PDF, ePub, Docs
Category : Technology & Engineering
Languages : en
Pages : 255

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This treatment of modern topics related to mathematical systems theory forms the proceedings of a workshop, Mathematical Systems Theory: From Behaviors to Nonlinear Control, held at the University of Groningen in July 2015. The workshop celebrated the work of Professors Arjan van der Schaft and Harry Trentelman, honouring their 60th Birthdays. The second volume of this two-volume work covers a variety of topics related to behavioral systems and robust control. After giving a detailed account of the state-of the art in the related topic, each chapter presents new results and discusses new directions. As such, this volume provides a broad picture of the theory of behavioral systems and robust control for scientists and engineers with an interest in the interdisciplinary field of systems and control theory. The reader will benefit from the expert participants' ideas on exciting new approaches to control and system theory and their predictions of future directions for the subject that were discussed at the workshop.

Open Problems in Mathematical Systems and Control Theory PDF

Author: Vincent D. Blondel
Publisher: Springer Science & Business Media
ISBN: 1447108078
Size: 24.80 MB
Format: PDF, Kindle
Category : Technology & Engineering
Languages : en
Pages : 289

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System and Control theory is one of the most exciting areas of contemporary engineering mathematics. From the analysis of Watt's steam engine governor - which enabled the Industrial Revolution - to the design of controllers for consumer items, chemical plants and modern aircraft, the area has always drawn from a broad range of tools. It has provided many challenges and possibilities for interaction between engineering and established areas of 'pure' and 'applied' mathematics. This impressive volume collects a discussion of more than fifty open problems which touch upon a variety of subfields, including: chaotic observers, nonlinear local controlability, discrete event and hybrid systems, neural network learning, matrix inequalities, Lyapunov exponents, and many other issues. Proposed and explained by leading researchers, they are offered with the intention of generating further work, as well as inspiration for many other similar problems which may naturally arise from them. With extensive references, this book will be a useful reference source - as well as an excellent addendum to the textbooks in the area.

Mathematical Programming and Control Theory PDF

Author: B. D. Craven
Publisher: Springer
ISBN:
Size: 53.51 MB
Format: PDF, ePub
Category : Juvenile Nonfiction
Languages : en
Pages : 164

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In a mathematical programming problem, an optimum (maxi mum or minimum) of a function is sought, subject to con straints on the values of the variables. In the quarter century since G. B. Dantzig introduced the simplex method for linear programming, many real-world problems have been modelled in mathematical programming terms. Such problems often arise in economic planning - such as scheduling industrial production or transportation - but various other problems, such as the optimal control of an interplanetary rocket, are of similar kind. Often the problems involve nonlinear func tions, and so need methods more general than linear pro gramming. This book presents a unified theory of nonlinear mathe matical programming. The same methods and concepts apply equally to 'nonlinear programming' problems with a finite number of variables, and to 'optimal control' problems with e. g. a continuous curve (i. e. infinitely many variables). The underlying ideas of vector space, convex cone, and separating hyperplane are the same, whether the dimension is finite or infinite; and infinite dimension makes very little difference to the proofs. Duality theory - the various nonlinear generaliz ations of the well-known duality theorem of linear program ming - is found relevant also to optimal control, and the , PREFACE Pontryagin theory for optimal control also illuminates finite dimensional problems. The theory is simplified, and its applicability extended, by using the geometric concept of convex cones, in place of coordinate inequalities.

Author: John Baillieul
Publisher: Springer Science & Business Media
ISBN: 9780387983172
Size: 63.16 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 360

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Mathematical Control of Coupled PDEs PDF

Author: Irena Lasiecka
Publisher: SIAM
ISBN: 0898714869
Size: 30.22 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 242

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Concentrates on systems of hyperbolic and parabolic coupled PDEs that are nonlinear, solve three key problems.

Mathematical Control Theory for Stochastic Partial Differential Equations PDF

Author: Qi Lü
Publisher: Springer Nature
ISBN: 3030823318
Size: 77.50 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 592

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This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for this type of system are explained in detail. Interestingly enough, one has to develop new mathematical tools to solve some problems in this field, such as the global Carleman estimate for stochastic partial differential equations and the stochastic transposition method for backward stochastic evolution equations. In a certain sense, the stochastic distributed parameter control system is the most general control system in the context of classical physics. Accordingly, studying this field may also yield valuable insights into quantum control systems. A basic grasp of functional analysis, partial differential equations, and control theory for deterministic systems is the only prerequisite for reading this book.

Mathematical Control Theory and Finance PDF

Author: Andrey Sarychev
Publisher: Springer Science & Business Media
ISBN: 354069532X
Size: 46.45 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 420

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Control theory provides a large set of theoretical and computational tools with applications in a wide range of ?elds, running from "pure" branches of mathematics, like geometry, to more applied areas where the objective is to ?nd solutions to "real life" problems, as is the case in robotics, control of industrial processes or ?nance. The "high tech" character of modern business has increased the need for advanced methods. These rely heavily on mathematical techniques and seem indispensable for competitiveness of modern enterprises. It became essential for the ?nancial analyst to possess a high level of mathematical skills. C- versely, the complex challenges posed by the problems and models relevant to ?nance have, for a long time, been an important source of new research topics for mathematicians. The use of techniques from stochastic optimal control constitutes a well established and important branch of mathematical ?nance. Up to now, other branches of control theory have found comparatively less application in ?n- cial problems. To some extent, deterministic and stochastic control theories developed as di?erent branches of mathematics. However, there are many points of contact between them and in recent years the exchange of ideas between these ?elds has intensi?ed. Some concepts from stochastic calculus (e.g., rough paths) havedrawntheattentionofthedeterministiccontroltheorycommunity.Also, some ideas and tools usual in deterministic control (e.g., geometric, algebraic or functional-analytic methods) can be successfully applied to stochastic c- trol.

Introduction to Mathematical Control Theory PDF

Author: Stephen Barnett
Publisher: Oxford University Press, USA
ISBN:
Size: 41.85 MB
Format: PDF, ePub
Category : Automatic control
Languages : en
Pages : 264

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Author: W.A. Coppel
Publisher: Springer
ISBN: 3540357149
Size: 61.77 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 261

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Unsolved Problems in Mathematical Systems and Control Theory PDF

Author: Vincent D. Blondel
Publisher: Princeton University Press
ISBN: 1400826152
Size: 58.33 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 352

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This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science. The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.

Author: W. A. Coppel
Publisher:
ISBN: 9783662204740
Size: 20.29 MB
Format: PDF, Mobi
Category :
Languages : en
Pages : 272

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Author: Stephen Barnett
Publisher: Oxford University Press, USA
ISBN:
Size: 32.76 MB
Format: PDF, ePub, Mobi
Category : Control theory
Languages : en
Pages : 404

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In this new edition of a successful text, Professor Barnett, now joined in the authorship by Dr. Cameron, has concentrated on adding material where topics have developed since the first edition, and they have also taken advantage of the extensive classroom testing that has been possible in the intervening years. The book remains the concise readable account of some basic mathematical aspects of control, concentrating on state-space methods and emphasizing points of mathematical interest. As far as the additional material is concerned, the new chapter on multivariable theory reflects some of the significant developments in that field during the past decade, and there is also now an appendix on Kalman filtering. All references have been updated and a large number of new problems for student use have been incorporated.