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This book provides an introduction to the mathematics needed to model, analyze, and design feedback systems. It is an ideal textbook for undergraduate and graduate students, and is indispensable for researchers seeking a self-contained reference on control theory. Unlike most books on the subject, Feedback Systems develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. They provide exercises at the end of every chapter, and an accompanying electronic solutions manual is available. Feedback Systems is a complete one-volume resource for students and researchers in mathematics, engineering, and the sciences. Covers the mathematics needed to model, analyze, and design feedback systems Serves as an introductory textbook for students and a self-contained resource for researchers Includes exercises at the end of every chapter Features an electronic solutions manual Offers techniques applicable across a range of disciplines
A comprehensive treatment of the behavior of linear or nonlinear systems when they are connected in a closed-loop fashion.
John Morecroft's book is an ideal text for students interested in system modelling and its application to a range of real world problems. The book covers all that is necessary to develop expertise in system dynamics modelling and through the range of applications makes a persuasive case for the power and scope of the approach. As such it will appeal to practitioners as well as students. Robert Dyson, Professor of Operational Research, Associate Dean, Warwick Business School. Much more than an introduction, John Morecroft's Strategic Modelling and Business Dynamics uses interactive "management flight simulators" to create an engaging and effective learning environment in which readers, whatever their background, can develop their intuition about complex dynamic systems. The numerous examples provide a rich test-bed for the development of systems thinking and modelling skills John Sterman, Jay W. Forrester Professor of Management, MIT Sloan School of Management This book, with its vivid examples and simulators, will help to bring modelling, system dynamics and simulation into the mainstream of management education where they now belong. John A. Quelch, Professor of Marketing, Harvard Business School, Former Dean of London Business School This text fills the gap between texts focusing on the purely descriptive systems approach and the more technical system dynamics ones. Ann van Ackere, Professor of Decision Sciences, HEC Lausanne, Universit? de Lausanne Strategic modelling based on system dynamics is a powerful tool for understanding how firms adapt to a changing environment. The author demonstrates the appeal and power of business modelling to make sense of strategic initiatives and to anticipate their impacts through simulation. The book offers various simulators that allow readers to conduct their own policy experiments. Dr. Erich Zahn, Professor of Strategic Management, Betriebswirtschaftliches Institut, University of Stuttgart A website to accompany the book can be found at housing supplementary material for both students and lecturers.
Synthesis of Feedback Systems presents the feedback theory which exists in various feedback problems. This book provides techniques for the analysis and solution of these problems. The text begins with an introduction to feedback theory and exposition of problems of plant identification, representation, and analysis. Subsequent chapters are devoted to the application of the feedback point of view to any system; the principal useful properties of feedback; the feedback control system synthesis techniques; and the class of two degree-of-freedom feedback configurations and synthesis procedures appropriate for such configurations. The final chapter considers how to translate specifications from their typical original formulation, to the language appropriate for detailed design. The book is intended for engineers and graduate students of engineering design.
Study of dynamical systems usually concentrates on the properties and the structure of invariant sets, since the understanding of these is the first step in describing the long time behavior of orbits of the entire dynamical system. There are two different sets of problems related to the study of dynamical systems. One, the study of the dynamics in the neighborhood of the critical elements like fixed points or periodic orbits, is relatively well understood. This volume tackles the second set of problems, related to a global dynamics and the global bifurcations. In this volume the author studies dynamics of cyclic feedback systems. The global dynamics is described by a Morse decomposition of the global attractor, defined with the help of a discrete Lyapunov function. The author shows that the dynamics inside individual Morse sets may be very complicated. A three-dimensional system of ODEs with two linear equations is constructed, such that the invariant set is at least as complicated as a suspension of a full shift on two symbols. The questions posed are perhaps as significant as the reported results.

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