Historically and technically important papers range from early work in mathematical control theory to studies in adaptive control processes. Contributors include J. C. Maxwell, H. Nyquist, H. W. Bode, other experts. 1964 edition.

This new edition of Mathematics for Dynamic Modeling updates a widely used and highly-respected textbook. The text is appropriate for upper-level undergraduate and graduate level courses in modeling, dynamical systems, differential equations, and linear multivariable systems offered in a variety of departments including mathematics, engineering, computer science, and economics. The text features many different realistic applications from a wide variety of disciplines. The book covers important tools such as linearization, feedback concepts, the use of Liapunov functions, and optimal control. This new edition is a valuable tool for understanding and teaching a rapidly growing field. Practitioners and researchers may also find this book of interest. Contains a new chapter on stability of dynamic models Covers many realistic applications from a wide variety of fields in an accessible manner Provides a broad introduction to the full scope of dynamical systems Incorporates new developments such as new models for chemical reactions and autocatalysis Integrates MATLAB throughout the text in both examples and illustrations Includes a new introduction to nonlinear differential equations

Given the fundamental challenges to society in this era, a radical rewrite of how we approach science and culture is necessary. This handbook applies Perceptual Control Theory (PCT) to achieve a much needed convergence across the physical, life and social sciences, the humanities and arts. In doing so it addresses challenges such as mental illness, dementia, cancer care, toxic masculinity and societal oppression. It also reveals how PCT can be applied to practical issues such as understanding healthcare service implementation and human-machine interaction, as well as deeper questions such as consciousness and imagination. This second volume of the successful interdisciplinary handbook offers rich examples of how the unifying perceptual control framework can provide a viable alternative to existing theories and methodologies for a timely paradigm shift. Examines the relationship between our perceptions, consciousness, and imagination Provides computational and mathematical models for physiological systems, such as human movement, human-machine interaction, and psychological processes such as recovery from mental health problems Presents health as control which leads to game-changing suggestions in designing interventions for health behavior, cancer support, care for dementia, and mental health services Helps readers comprehend goals of teachers and students in education from a PCT perspective to show how educative interactions could be less coercive and foster flourishing The value of PCT is demonstrated in understanding cultural memes and social challenges such as toxic masculinity

This book explores topics that are central to the field of spacecraft attitude determination and control. The authors provide rigorous theoretical derivations of significant algorithms accompanied by a generous amount of qualitative discussions of the subject matter. The book documents the development of the important concepts and methods in a manner accessible to practicing engineers, graduate-level engineering students and applied mathematicians. It includes detailed examples from actual mission designs to help ease the transition from theory to practice and also provides prototype algorithms that are readily available on the author’s website. Subject matter includes both theoretical derivations and practical implementation of spacecraft attitude determination and control systems. It provides detailed derivations for attitude kinematics and dynamics and provides detailed description of the most widely used attitude parameterization, the quaternion. This title also provides a thorough treatise of attitude dynamics including Jacobian elliptical functions. It is the first known book to provide detailed derivations and explanations of state attitude determination and gives readers real-world examples from actual working spacecraft missions. The subject matter is chosen to fill the void of existing textbooks and treatises, especially in state and dynamics attitude determination. MATLAB code of all examples will be provided through an external website.

This book applies vibration engineering to turbomachinery, covering installation, maintenance and operation. With a practical approach based on clear theoretical principles and formulas, the book is an essential how-to guide for all professional engineers dealing with vibration issues within turbomachinery. Vibration problems in turbines, large fans, blowers, and other rotating machines are common issues within turbomachinery. Applicable to industries such as oil and gas mining, cement, pharmaceutical and naval engineering, the ability to predict vibration based on frequency spectrum patterns is essential for many professional engineers. In this book, the theory behind vibration is clearly detailed, providing an easy to follow methodology through which to calculate vibration propagation. Describing lateral and torsional vibration and how this impacts turbine shaft integrity, the book uses mechanics of materials theory and formulas alongside the matrix method to provide clear solutions to vibration problems. Additionally, it describes how to carry out a risk assessment of vibration fatigue. Other topics covered include vibration control techniques, the design of passive and active absorbers and rigid, non-rigid and Z foundations. The book will be of interest to professionals working with turbomachinery, naval engineering corps and those working on ISO standards 10816 and 13374. It will also aid mechanical engineering students working on vibration and machine design.

In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.

Originally published in 1984, one of the few facts that emerged clearly in the beleaguered field of psychology and mental health at the time was the extent of poor social skills in psychiatric patients, the mentally handicapped and problem adolescents. As a result, during the 1970s, social skills training – espoused as a form of behaviour therapy – seemed to offer great promise, based on the notion that social skills, like any other skills, are learnt and can be taught if lacking. However, in evaluating social skills training, many investigators found that skills did not endure and generalise. This book attempts a major re-assessment of social skills training. It examines the underlying paradigms, which are shown to be fundamentally behaviourist. Such paradigms, it is argued, severely constrain the aims and method of current types of training. Thus the book develops what is termed an ‘agency’ approach, based on man as a social agent who actively constructs his own experiences and generates his own goal-directed behaviour on the basis of those constructs. This new model is developed in both theoretical and practical ways in the main body of the book and should, even today, be of great interest to all those involved with social skills training.

Control Theory of Systems Governed by Partial Differential Equations covers the proceedings of the 1976 Conference by the same title, held at the Naval Surface Weapons Center, Silver Spring, Maryland. The purpose of this conference is to examine the control theory of partial differential equations and its application. This text is divided into five chapters that primarily focus on tutorial lecture series on the theory of optimal control of distributed systems. It describes the many manifestations of the theory and its applications appearing in the other chapters. This work also presents the principles of the duality and asymptotic methods in control theory, including the variational principle for the heat equation. A chapter highlights systems that are not of the linear quadratic type. This chapter also explores the control of free surfaces and the geometrical control variables. The last chapter provides a summary of the features and applications of the numerical approximation of problems of optimal control. This book will prove useful to mathematicians, engineers, and researchers.

This book introduces physics students and teachers to the historical development of the kinetic theory of gases, by providing a collection of the most important contributions by Clausius, Maxwell and Boltzmann, with introductory surveys explaining their significance. In addition, extracts from the works of Boyle, Newton, Mayer, Joule, Helmholtz, Kelvin and others show the historical context of ideas about gases, energy and irreversibility. In addition to five thematic essays connecting the classical kinetic theory with 20th century topics such as indeterminism and interatomic forces, there is an extensive international bibliography of historical commentaries on kinetic theory, thermodynamics, etc. published in the past four decades.The book will be useful to historians of science who need primary and secondary sources to be conveniently available for their own research and interpretation, along with the bibliography which makes it easier to learn what other historians have already done on this subject.