A Mathematical Introduction To Control Theory

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A Mathematical Introduction To Control Theory

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Author : Shlomo Engelberg
language : en
Publisher: World Scientific
Release Date : 2005

A Mathematical Introduction To Control Theory written by Shlomo Engelberg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Control theory categories.

Mathematical Control Theory

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Author : Eduardo D. Sontag
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Mathematical Control Theory written by Eduardo D. Sontag and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.

Mathematics is playing an ever more important role in the physical and biologi cal sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and rein force the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematics Sci ences (AMS) series, which will focus on advanced textbooks and research-level monographs. v Preface to the Second Edition The most significant differences between this edition and the first are as follows: • Additional chapters and sections have been written, dealing with: nonlinear controllability via Lie-algebraic methods, variational and numerical approaches to nonlinear control, including a brief introduction to the Calculus of Variations and the Minimum Principle, - time-optimal control of linear systems, feedback linearization (single-input case), nonlinear optimal feedback, controllability of recurrent nets, and controllability of linear systems with bounded controls.

Introduction To Mathematical Control Theory

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Author : Stephen Barnett
language : en
Publisher: Oxford University Press, USA
Release Date : 1985

Introduction To Mathematical Control Theory written by Stephen Barnett and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Language Arts & Disciplines categories.

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.

Mathematical Introduction To Control Theory A Third Edition

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Author : Shlomo Engelberg
language : en
Publisher: World Scientific
Release Date : 2024-04-29

Mathematical Introduction To Control Theory A Third Edition written by Shlomo Engelberg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-29 with Technology & Engineering categories.

The 3rd edition strikes a nice balance between mathematical rigor and engineering oriented applications, helping students to understand the mathematical and engineering aspects of control theory.The book makes effective use of the tools provided by MATLAB® (and includes material about using the tools provided by the Python® programming language) in the design and analysis of control systems without allowing the computer-based tools to substitute for knowledge of control theory. The examples in the text are carefully designed to develop the student's intuition — in both mathematics and engineering.With over 90 solved homework problems and about 200 figures, this invaluable title will benefit junior and senior level university students in engineering.

Mathematical Introduction To Control Theory A Second Edition

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Author : Shlomo Engelberg
language : en
Publisher:
Release Date : 2015

Mathematical Introduction To Control Theory A Second Edition written by Shlomo Engelberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.

Introduction To Mathematical Systems Theory

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Author : Christiaan Heij
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-18

Introduction To Mathematical Systems Theory written by Christiaan Heij and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-18 with Science categories.

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.

Introduction To Mathematical Systems Theory

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Author : J.C. Willems
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-11-07

Introduction To Mathematical Systems Theory written by J.C. Willems and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-07 with Mathematics categories.

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.

Mathematical Control Theory And Finance

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Author : Andrey Sarychev
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-31

Mathematical Control Theory And Finance written by Andrey Sarychev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-31 with Mathematics categories.

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.

A Mathematical Introduction To Electronic Structure Theory

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Author : Lin Lin
language : en
Publisher: SIAM
Release Date : 2019-06-05

A Mathematical Introduction To Electronic Structure Theory written by Lin Lin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-05 with Mathematics categories.

Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields and has recently received increasing research attention in applied and computational mathematics. This book provides a self-contained, mathematically oriented introduction to the subject and its associated algorithms and analysis. It will help applied mathematics students and researchers with minimal background in physics understand the basics of electronic structure theory and prepare them to conduct research in this area. The book begins with an elementary introduction of quantum mechanics, including the uncertainty principle and the Hartree?Fock theory, which is considered the starting point of modern electronic structure theory. The authors then provide an in-depth discussion of two carefully selected topics that are directly related to several aspects of modern electronic structure calculations: density matrix based algorithms and linear response theory. Chapter 2 introduces the Kohn?Sham density functional theory with a focus on the density matrix based numerical algorithms, and Chapter 3 introduces linear response theory, which provides a unified viewpoint of several important phenomena in physics and numerics. An understanding of these topics will prepare readers for more advanced topics in this field. The book concludes with the random phase approximation to the correlation energy. The book is written for advanced undergraduate and beginning graduate students, specifically those with mathematical backgrounds but without a priori knowledge of quantum mechanics, and can be used for self-study by researchers, instructors, and other scientists. The book can also serve as a starting point to learn about many-body perturbation theory, a topic at the frontier of the study of interacting electrons.

Mathematical Problems Of Control Theory

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Author : Gennadi? Alekseevich Leonov
language : en
Publisher: World Scientific
Release Date : 2001

Mathematical Problems Of Control Theory written by Gennadi? Alekseevich Leonov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.

This book shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics. In the book a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe an autopilot, spacecraft orientation system, controllers of a synchronous electric machine, and phase-locked loops. The Aizerman and Brockett problems are discussed and an introduction to the theory of discrete control systems is given. Contents: The Watt Governor and the Mathematical Theory of Stability of Motion; Linear Electric Circuits. Transfer Functions and Frequency Responses of Linear Blocks; Controllability, Observability, Stabilization; Two-Dimensional Control Systems. Phase Portraits; Discrete Systems; The Aizerman Conjecture. The Popov Method. Readership: Applied mathematicians and mechanical engineers.