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Introduction To Mathematical Control Theory

Introduction to Mathematical Control Theory PDF

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Author: S. Barnett
Publisher: Oxford University Press
ISBN: 9780198596394
Size: 27.51 MB
Format: PDF, Mobi
Category : Control theory.
Languages : en
Pages : 404
View: 988

Book Description: This is the best account of the basic mathematical aspects of control theory. It has been brought up to date while retaining the focus on state-space methods and points of mathematical interest. The authors have written a new chapter on multivariable theory and a new appendix on Kalman filtering, added a large number of new problems, and updated all the references. This book will continue as a fundamental resource for applied mathematicians studying control theory and for control engineers and electrical and mechanical engineers pursuing mathematically oriented studies.


A Mathematical Introduction To Control Theory

A Mathematical Introduction to Control Theory PDF

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Author: Shlomo Engelberg
Publisher: World Scientific Publishing Company
ISBN: 178326781X
Size: 12.99 MB
Format: PDF
Category : Technology & Engineering
Languages : en
Pages : 456
View: 1053

Book Description: 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.


Introduction To Optimal Control Theory

Introduction to Optimal Control Theory PDF

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Author: Jack Macki
Publisher: Springer Science & Business Media
ISBN: 1461256712
Size: 58.84 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 168
View: 576

Book Description: This monograph is an introduction to optimal control theory for systems governed by vector ordinary differential equations. It is not intended as a state-of-the-art handbook for researchers. We have tried to keep two types of reader in mind: (1) mathematicians, graduate students, and advanced undergraduates in mathematics who want a concise introduction to a field which contains nontrivial interesting applications of mathematics (for example, weak convergence, convexity, and the theory of ordinary differential equations); (2) economists, applied scientists, and engineers who want to understand some of the mathematical foundations. of optimal control theory. In general, we have emphasized motivation and explanation, avoiding the "definition-axiom-theorem-proof" approach. We make use of a large number of examples, especially one simple canonical example which we carry through the entire book. In proving theorems, we often just prove the simplest case, then state the more general results which can be proved. Many of the more difficult topics are discussed in the "Notes" sections at the end of chapters and several major proofs are in the Appendices. We feel that a solid understanding of basic facts is best attained by at first avoiding excessive generality. We have not tried to give an exhaustive list of references, preferring to refer the reader to existing books or papers with extensive bibliographies. References are given by author's name and the year of publication, e.g., Waltman [1974].


Mathematical Control Theory

Mathematical Control Theory PDF

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Author: Jerzy Zabczyk
Publisher: Springer Science & Business Media
ISBN: 9780817647339
Size: 66.16 MB
Format: PDF, Kindle
Category : Science
Languages : en
Pages : 260
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Book Description: 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


Introduction To The Mathematical Theory Of Control Processes Linear Equations And Quadratic Criteria

Introduction to the Mathematical Theory of Control Processes  Linear Equations and Quadratic Criteria PDF

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Author: Bellman
Publisher: Academic Press
ISBN: 0080955479
Size: 11.18 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 244
View: 7173

Book Description: 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.


An Introduction To Optimal Control Problems In Life Sciences And Economics

An Introduction to Optimal Control Problems in Life Sciences and Economics PDF

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Author: Sebastian Aniţa
Publisher: Springer Science & Business Media
ISBN: 9780817680985
Size: 80.75 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 232
View: 3054

Book Description: Combining control theory and modeling, this textbook introduces and builds on methods for simulating and tackling concrete problems in a variety of applied sciences. Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems. An elementary presentation of advanced concepts, proofs to introduce new ideas, and carefully presented MATLAB® programs help foster an understanding of the basics, but also lead the way to new, independent research. With minimal prerequisites and exercises in each chapter, this work serves as an excellent textbook and reference for graduate and advanced undergraduate students, researchers, and practitioners in mathematics, physics, engineering, computer science, as well as biology, biotechnology, economics, and finance.


Optimal Control

Optimal Control PDF

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Author: Leslie M. Hocking
Publisher: Oxford University Press
ISBN: 9780198596820
Size: 54.15 MB
Format: PDF, Mobi
Category : Computers
Languages : en
Pages : 254
View: 6154

Book Description: This textbook is a straightforward introduction to the theory of optimal control with an emphasis on presenting many different applications. Professor Hocking has taken pains to ensure that the theory is developed to display the main themes of the arguments but without using sophisticated mathematical tools. Throughout there are many worked examples, and numerous exercises (with solutions) are provided.