Elements of Control Theory

Elements of Control Theory
Author: K. Balachandran
Publisher: Alpha Science International, Limited
Total Pages: 0
Release: 2012
Genre: Mathematics
ISBN: 9781842656976

ELEMENTS OF CONTROL THEORY studies the basic problems like observability, controllability, stability, Lyapunov stability, stabilizability and optimal control for dynamical systems represented by ordinary differential equations in a finite dimensional Euclidean space. The problems are also considered for nonlinear dynamical systems. The contents of the book are so organized as to serve as an introductory level text helping to understand the basic ingredients of control theory. A good number of examples are provided to illustrate the concepts and each chapter is supplemented by a set of exercises for the benefit of the students. The prerequisites are elementary courses in analysis, differential equations and the theory of matrices.

Control Theories of Crime and Delinquency

Control Theories of Crime and Delinquency
Author: Chester L. Britt
Publisher: Transaction Publishers
Total Pages: 291
Release: 2011-12-31
Genre: Social Science
ISBN: 1412809002

For the past twenty to thirty years, control theories of crime have been at the center of theoretical development in criminology. Key to the control theory perspective is the notion that crime is an inherently individual act, and its explanation requires that we focus on the characteristics of individuals who commit crimes. Consequently, control theory focuses on such issues as self-control and social control. The contributions to this volume explicate and extend the application of control theory. It is divided into three general areas. Part 1 focuses on key assumptions and components of control theories. Contributors discuss the notion of learning, or socialization, in the context of control theory and the effects that families, peers, and the criminal justice system have on self-control, social ties, and criminal behavior. Part 2 applies control theory to areas typically assumed to be out of the domain of self-control theory and social control theory, such as gender differences in crime, domestic violence, and group crime. Considering control theory's emphasis on explaining individual criminal acts, these chapters suggest an interesting area of development by highlighting the possibility that differences in crime across or within groups may begin with individual characteristics and then making inferences about groups and group processes. Part 3 approaches the explanation of crime cross-nationally and at the macro-level. Although the authors take different approaches, they all illustrate that a theory of crime does not require culture-specific elements in order to be a valid cross-cultural explanation. Contributors to this volume include: Robert Agnew, Todd Armstrong, Leana Allen Bouffard, Augustine Brannigan, Chester Britt, Barbara Costello, Maja Dekovic, Matt DeLisi, Michael Gottfredson, Henriette Haas, Kelly H. Hardwick, Travis Hirschi, Marianne Junger, Martin Killias, Helen Mederer, Kevin Thompson, and Alexander Vazsonyi.

Feedback Control Theory

Feedback Control Theory
Author: John C. Doyle
Publisher: Courier Corporation
Total Pages: 264
Release: 2013-04-09
Genre: Technology & Engineering
ISBN: 0486318338

An excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Its explorations of recent developments in the field emphasize the relationship of new procedures to classical control theory, with a focus on single input and output systems that keeps concepts accessible to students with limited backgrounds. The text is geared toward a single-semester senior course or a graduate-level class for students of electrical engineering. The opening chapters constitute a basic treatment of feedback design. Topics include a detailed formulation of the control design program, the fundamental issue of performance/stability robustness tradeoff, and the graphical design technique of loopshaping. Subsequent chapters extend the discussion of the loopshaping technique and connect it with notions of optimality. Concluding chapters examine controller design via optimization, offering a mathematical approach that is useful for multivariable systems.

Mathematical Control Theory

Mathematical Control Theory
Author: Jerzy Zabczyk
Publisher: Springer Science & Business Media
Total Pages: 276
Release: 2008
Genre: Language Arts & Disciplines
ISBN: 9780817647322

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.

Control Theory Tutorial

Control Theory Tutorial
Author: Steven A. Frank
Publisher: Springer
Total Pages: 112
Release: 2018-05-29
Genre: Technology & Engineering
ISBN: 3319917072

This open access Brief introduces the basic principles of control theory in a concise self-study guide. It complements the classic texts by emphasizing the simple conceptual unity of the subject. A novice can quickly see how and why the different parts fit together. The concepts build slowly and naturally one after another, until the reader soon has a view of the whole. Each concept is illustrated by detailed examples and graphics. The full software code for each example is available, providing the basis for experimenting with various assumptions, learning how to write programs for control analysis, and setting the stage for future research projects. The topics focus on robustness, design trade-offs, and optimality. Most of the book develops classical linear theory. The last part of the book considers robustness with respect to nonlinearity and explicitly nonlinear extensions, as well as advanced topics such as adaptive control and model predictive control. New students, as well as scientists from other backgrounds who want a concise and easy-to-grasp coverage of control theory, will benefit from the emphasis on concepts and broad understanding of the various approaches. Electronic codes for this title can be downloaded from https://extras.springer.com/?query=978-3-319-91707-8

Elements of Control Systems

Elements of Control Systems
Author: Sudhir K. Gupta
Publisher:
Total Pages: 0
Release: 2002
Genre: Automatic control
ISBN: 9780130119896

Finally, a book that fills the gap that other books leave empty! Most other textbooks on this subject were designed for students at the engineering lave! or for advanced students. This book was written for students just "beginning" their study of control systems. It is suitable for: Two- to four-year college programs requiring an in-depth understanding of control systems. A one-semester university course at freshman level. Industry personnel interested in developing a greater understanding of control principles. An attempt has been made to cover the major topics in control system technology. This book will help students to develop sufficient understanding to operate, maintain, and regulate control systems. At the same time, it will permit students to design and develop basic control systems. The book consists of two major sections. Part I covers control system theory, while Part II covers controllers and their applications. Schematic diagrams and in-depth descriptions of the technology help students comprehend the sometimes difficult topics of digital control, digital implementation and fuzzy logic, and chapter questions help to reinforce the ideas presented in each chapter. An Instructor's Manual (ISBN: 0-13-092866-6) is available to all instructors using the book to teach a course.

Control Theory from the Geometric Viewpoint

Control Theory from the Geometric Viewpoint
Author: Andrei A. Agrachev
Publisher: Springer Science & Business Media
Total Pages: 440
Release: 2004-04-15
Genre: Language Arts & Disciplines
ISBN: 9783540210191

This book presents some facts and methods of Mathematical Control Theory treated from the geometric viewpoint. It is devoted to finite-dimensional deterministic control systems governed by smooth ordinary differential equations. The problems of controllability, state and feedback equivalence, and optimal control are studied. Some of the topics treated by the authors are covered in monographic or textbook literature for the first time while others are presented in a more general and flexible setting than elsewhere. Although being fundamentally written for mathematicians, the authors make an attempt to reach both the practitioner and the theoretician by blending the theory with applications. They maintain a good balance between the mathematical integrity of the text and the conceptual simplicity that might be required by engineers. It can be used as a text for graduate courses and will become most valuable as a reference work for graduate students and researchers.

Mathematical Control Theory

Mathematical Control Theory
Author: Eduardo D. Sontag
Publisher: Springer Science & Business Media
Total Pages: 543
Release: 2013-11-21
Genre: Mathematics
ISBN: 1461205778

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.

Control Theory for Physicists

Control Theory for Physicists
Author: John Bechhoefer
Publisher: Cambridge University Press
Total Pages: 661
Release: 2021-04
Genre: Mathematics
ISBN: 1107001188

Bridging the basics to recent research advances, this is the ideal learning and reference work for physicists studying control theory.