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Author : Alberto Bressan,Benedetto Piccoli
Publisher : Unknown
Page : 336 pages
File Size : 42,7 Mb
Release : 2007
Category : Control theory
ISBN : CORNELL:31924107186136
Author : Jerzy Zabczyk
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 49,5 Mb
Release : 2008
Category : Language Arts & Disciplines
ISBN : 0817647325
In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems.
Author : Richard Bellman
Publisher : Elsevier
Page : 264 pages
File Size : 54,9 Mb
Release : 2016-06-03
Category : Mathematics
ISBN : 9781483222868
Introduction to the Mathematical Theory of Control Processes
Author : J.C. Willems,J.W. Polderman
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 47,7 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475729535
Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.
Author : Stephen Barnett,R. G. Cameron
Publisher : Oxford University Press, USA
Page : 424 pages
File Size : 53,6 Mb
Release : 1985
Category : Language Arts & Disciplines
ISBN : UOM:39015021751147
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.
Author : Eduardo D. Sontag
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 42,8 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781461205777
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 : Bellman
Publisher : Academic Press
Page : 305 pages
File Size : 42,8 Mb
Release : 1971-04-20
Category : Computers
ISBN : 9780080955483
Introduction to the Mathematical Theory of Control Processes: Nonlinear Processes v. 2
Author : Shlomo Engelberg
Publisher : World Scientific Publishing Company
Page : 456 pages
File Size : 41,7 Mb
Release : 2015-04-08
Category : Technology & Engineering
ISBN : 9781783267811
Striking a nice balance between mathematical rigor and engineering-oriented applications, this second edition covers the bedrock parts of classical control theory — the Routh-Hurwitz theorem and applications, Nyquist diagrams, Bode plots, root locus plots, and the design of controllers (phase-lag, phase-lead, lag-lead, and PID). It also covers three more advanced topics — non-linear control, modern control, and discrete-time control. This invaluable book makes effective use of MATLAB® as a tool in design and analysis. Containing 75 solved problems and 200 figures, this edition will be useful for junior and senior level university students in engineering who have a good knowledge of complex variables and linear algebra.
Author : Christiaan Heij,André C.M. Ran,F. van Schagen
Publisher : Springer Science & Business Media
Page : 169 pages
File Size : 44,5 Mb
Release : 2006-12-18
Category : Science
ISBN : 9783764375492
This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering; the focus is on discrete time systems. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation.
Author : L.D. Berkovitz
Publisher : Springer Science & Business Media
Page : 315 pages
File Size : 43,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475760972
This book is an introduction to the mathematical theory of optimal control of processes governed by ordinary differential eq- tions. It is intended for students and professionals in mathematics and in areas of application who want a broad, yet relatively deep, concise and coherent introduction to the subject and to its relati- ship with applications. In order to accommodate a range of mathema- cal interests and backgrounds among readers, the material is arranged so that the more advanced mathematical sections can be omitted wi- out loss of continuity. For readers primarily interested in appli- tions a recommended minimum course consists of Chapter I, the sections of Chapters II, III, and IV so recommended in the introductory sec tions of those chapters, and all of Chapter V. The introductory sec tion of each chapter should further guide the individual reader toward material that is of interest to him. A reader who has had a good course in advanced calculus should be able to understand the defini tions and statements of the theorems and should be able to follow a substantial portion of the mathematical development. The entire book can be read by someone familiar with the basic aspects of Lebesque integration and functional analysis. For the reader who wishes to find out more about applications we recommend references [2], [13], [33], [35], and [50], of the Bibliography at the end of the book.
Author : V.N. Afanasiev,V. Kolmanovskii,V.R. Nosov
Publisher : Springer Science & Business Media
Page : 676 pages
File Size : 46,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401722032
Give, and it shall be given unto you. ST. LUKE, VI, 38. The book is based on several courses of lectures on control theory and appli cations which were delivered by the authors for a number of years at Moscow Electronics and Mathematics University. The book, originally written in Rus sian, was first published by Vysshaya Shkola (Higher School) Publishing House in Moscow in 1989. In preparing a new edition of the book we planned to make only minor changes in the text. However, we soon realized that we like many scholars working in control theory had learned many new things and had had many new insights into control theory and its applications since the book was first published. Therefore, we rewrote the book especially for the English edition. So, this is substantially a new book with many new topics. The book consists of an introduction and four parts. Part One deals with the fundamentals of modern stability theory: general results concerning stability and instability, sufficient conditions for the stability of linear systems, methods for determining the stability or instability of systems of various type, theorems on stability under random disturbances.
Author : Jerzy Zabczyk
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 45,7 Mb
Release : 2009-11-03
Category : Science
ISBN : 9780817647339
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 : John B. Baillieul,J.C. Willems
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461214168
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 : Bellman
Publisher : Academic Press
Page : 266 pages
File Size : 55,6 Mb
Release : 1967-01-01
Category : Computers
ISBN : 9780080955476
This work discusses the theory of control processes. The extremely rapid growth of the theory, associated intimately with the continuing trend toward automation, makes it imperative that the courses of this nature rest upon a broad basis. The work discusses the fundamentals of the calculus of variations, dynamic programming, discrete control processes, use of the digital computer, and functional analysis. Introductory courses in control theory are essential for training the modern graduate student in pure and applied mathematics, engineering, mathematical physics, economics, biology, operations research, and related fields. The work also describes the dual approaches of the calculus of variations and dynamic programming in the scalar case and illustrates ways to tackle the multidimensional optimization problems.
Author : Richard Bellman
Publisher : Unknown
Page : 306 pages
File Size : 48,7 Mb
Release : 1971
Category : Control theory
ISBN : OCLC:25193053