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| 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.
| Author | : Michael Schulz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 328 |
| Release | : 2006-01-13 |
| Genre | : Computers |
| ISBN | : 9783540295143 |
This book covers systematically and in a simple language the mathematical and physical foundations of controlling deterministic and stochastic evolutionary processes in systems with a high degree of complexity. Strong emphasis is placed on concepts, methods and techniques for modelling, assessment and the solution or estimation of control problems in an attempt to understand the large variability of these problems in several branches of physics, chemistry and biology as well as in technology and economics. The main focus of the book is on a clear physical and mathematical understanding of the dynamics and kinetics behind several kinds of control problems and their relation to self-organizing principles in complex systems. The book is a modern introduction and a helpful tool for researchers, engineers as well as post-docs and graduate students interested in an application oriented control theory and related topics.
| Author | : John Bechhoefer |
| Publisher | : Cambridge University Press |
| Total Pages | : 662 |
| Release | : 2021-04-01 |
| Genre | : Science |
| ISBN | : 1009028499 |
Control theory, an interdisciplinary concept dealing with the behaviour of dynamical systems, is an important but often overlooked aspect of physics. This is the first broad and complete treatment of the topic tailored for physicists, one which goes from the basics right through to the most recent advances. Simple examples develop a deep understanding and intuition for the systematic principles of control theory, beyond the recipes given in standard engineering-focused texts. Up-to-date coverage of control of networks and complex systems, and a thorough discussion of the fundamental limits of control, including the limitations placed by causality, information theory, and thermodynamics are included. In addition it explores important recent advances in stochastic thermodynamics on the thermodynamic costs of information processing and control. For all students of physics interested in control theory, this classroom-tested, comprehensive approach to the topic with online solutions and further materials delivers both fundamental principles and current developments.
| Author | : Velimir Jurdjevic |
| Publisher | : Cambridge University Press |
| Total Pages | : 516 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 0521495024 |
Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled. This book describes the mathematical theory inspired by the irreversible nature of time evolving events. The first part of the book deals with the issue of being able to steer the system from any point of departure to any desired destination. The second part deals with optimal control, the question of finding the best possible course. An overlap with mathematical physics is demonstrated by the Maximum principle, a fundamental principle of optimality arising from geometric control, which is applied to time-evolving systems governed by physics as well as to man-made systems governed by controls. Applications are drawn from geometry, mechanics, and control of dynamical systems. The geometric language in which the results are expressed allows clear visual interpretations and makes the book accessible to physicists and engineers as well as to mathematicians.
| Author | : Lee Smolin |
| Publisher | : Houghton Mifflin Harcourt |
| Total Pages | : 420 |
| Release | : 2006 |
| Genre | : Science |
| ISBN | : 9780618551057 |
Sample Text
| Author | : Robert Hermann |
| Publisher | : Math Science Press |
| Total Pages | : 464 |
| Release | : 1974 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Maurício C. de Oliveira |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2017-05-04 |
| Genre | : Technology & Engineering |
| ISBN | : 1316949907 |
Taking a different approach from standard thousand-page reference-style control textbooks, Fundamentals of Linear Control provides a concise yet comprehensive introduction to the analysis and design of feedback control systems in fewer than 400 pages. The text focuses on classical methods for dynamic linear systems in the frequency domain. The treatment is, however, modern and the reader is kept aware of contemporary tools and techniques, such as state space methods and robust and nonlinear control. Featuring fully worked design examples, richly illustrated chapters, and an extensive set of homework problems and examples spanning across the text for gradual challenge and perspective, this textbook is an excellent choice for senior-level courses in systems and control or as a complementary reference in introductory graduate level courses. The text is designed to appeal to a broad audience of engineers and scientists interested in learning the main ideas behind feedback control theory.
| Author | : Kurt Jacobs |
| Publisher | : Cambridge University Press |
| Total Pages | : 203 |
| Release | : 2010-02-18 |
| Genre | : Science |
| ISBN | : 1139486799 |
Stochastic processes are an essential part of numerous branches of physics, as well as in biology, chemistry, and finance. This textbook provides a solid understanding of stochastic processes and stochastic calculus in physics, without the need for measure theory. In avoiding measure theory, this textbook gives readers the tools necessary to use stochastic methods in research with a minimum of mathematical background. Coverage of the more exotic Levy processes is included, as is a concise account of numerical methods for simulating stochastic systems driven by Gaussian noise. The book concludes with a non-technical introduction to the concepts and jargon of measure-theoretic probability theory. With over 70 exercises, this textbook is an easily accessible introduction to stochastic processes and their applications, as well as methods for numerical simulation, for graduate students and researchers in physics.
| Author | : Andrei A. Agrachev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 415 |
| Release | : 2013-03-14 |
| Genre | : Science |
| ISBN | : 3662064049 |
This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional Analysis. No preliminary knowledge of Control Theory or Differential Geometry is required. What this book is about? The classical deterministic physical world is described by smooth dynamical systems: the future in such a system is com pletely determined by the initial conditions. Moreover, the near future changes smoothly with the initial data. If we leave room for "free will" in this fatalistic world, then we come to control systems. We do so by allowing certain param eters of the dynamical system to change freely at every instant of time. That is what we routinely do in real life with our body, car, cooker, as well as with aircraft, technological processes etc. We try to control all these dynamical systems! Smooth dynamical systems are governed by differential equations. In this book we deal only with finite dimensional systems: they are governed by ordi nary differential equations on finite dimensional smooth manifolds. A control system for us is thus a family of ordinary differential equations. The family is parametrized by control parameters.
| Author | : Howard M. Wiseman |
| Publisher | : Cambridge University Press |
| Total Pages | : 477 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0521804426 |
Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.
