This book attempts to couple control engineering with modern developments in science, through the concept of entropy. Such disciplines as intelligent machines, economics, manufacturing, environmental systems, waste etc. can be favorably affected and their performance can be improved or their catastrophic effects minimized. Entropy is used as the unifying measure of the various, seemingly disjoint, disciplines to represent the cost of producing work that improves the standard of living, both in engineering and in science. Modeling is done through probabilistic methods, thus establishing the irreversibility of the processes involved. This is in accordance with the modern view of science. In addition, the behavior of control for an arbitrary but fixed controller away from the optimal (equilibrium) has been obtained, the analytic expression of which should lead to chaotic solutions. The control activity is explained, based on the principle that control is making a system do what we want it to do. This helps to relate control theory with the sciences.

Vijay Singh explains the basic concepts of entropy theory from a hydraulic perspective and demonstrates the theory's application in solving practical engineering problems.

This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon–McMillan–Breiman Theorem, the Ornstein–Weiss Return Time Theorem, the Krieger Generator Theorem and, among the newest developments, the ergodic law of series. In Part II, after an expanded exposition of classical topological entropy, the book addresses symbolic extension entropy. It offers deep insight into the theory of entropy structure and explains the role of zero-dimensional dynamics as a bridge between measurable and topological dynamics. Part III explains how both measure-theoretic and topological entropy can be extended to operators on relevant function spaces. Intuitive explanations, examples, exercises and open problems make this an ideal text for a graduate course on entropy theory. More experienced researchers can also find inspiration for further research.

This book conceives, presents and exemplifies a contemporary, general systems methodology that is straightforward and accessible, providing guidance in practical application, as well as explaining concept and theory. The book is presented both as a text for students, with topic assignments, and as a reference for practitioners, through case studies. Utilizing recent research and developments in systems science, methods and tools, Hitchins has developed a unified systems methodology, employable when tackling virtually any problem, from the small technological, to the global socioeconomic. Founded in the powerful ‘systems approach’, Hitchins’ systems methodology brings together both soft and hard system scientific methods into one methodological framework. This can be applied when addressing complex problems, issues and situations, and for creating robust, provable solutions, resolutions and dissolutions to those problems – supposing such to exist. This book details and explores: the systems approach, using theory and method to reveal systems engineering as applied systems science, bridging the gulf between Problem and Solution Spaces; a ‘universal’ Systems Methodology (including an extensive view of systems engineering, embracing both soft and hard systems) which encompasses all five stages of Hitchins’ 5-layer Systems Engineering Model (artifact, project, enterprise, industry and socio-economy); case studies illustrating how the systems methodology may be used to address a diverse range of situations and issues, including conceiving a new defense capability, proposing a feasible way to tackle global warming, tackling enterprise interventions, how and why things can go wrong, and many more. Systems Engineering will give an immeasurable advantage to managers, practitioners and consultants in a wide range of organizations and fields including police, defense, procurement, communications, transport, management, electrical, electronic, aerospace, requirements, software and computer engineering. It is an essential reference for researchers seeking ‘systems enlightenment’, including graduate students who require a comprehensive reference text on the subject, and also government departments and systems engineering institutions

From engineering fluid mechanics to power systems, information coding theory and other fields, entropy is key to maximizing performance in engineering systems. It serves a vital role in achieving the upper limits of efficiency of industrial processes and quality of manufactured products. Entropy based design (EBD) can shed new light on various flow

The Second Law, a cornerstone of thermodynamics, governs the average direction of dissipative, non-equilibrium processes. But it says nothing about their actual rates or the probability of fluctuations about the average. This interdisciplinary book, written and peer-reviewed by international experts, presents recent advances in the search for new non-equilibrium principles beyond the Second Law, and their applications to a wide range of systems across physics, chemistry and biology. Beyond The Second Law brings together traditionally isolated areas of non-equilibrium research and highlights potentially fruitful connections between them, with entropy production playing the unifying role. Key theoretical concepts include the Maximum Entropy Production principle, the Fluctuation Theorem, and the Maximum Entropy method of statistical inference. Applications of these principles are illustrated in such diverse fields as climatology, cosmology, crystal growth morphology, Earth system science, environmental physics, evolutionary biology and technology, fluid turbulence, microbial biogeochemistry, plasma physics, and radiative transport, using a wide variety of analytical and experimental techniques. Beyond The Second Law will appeal to students and researchers wishing to gain an understanding of entropy production and its central place in the science of non-equilibrium systems – both in detail and in terms of the bigger picture.

A THOROUGH INTRODUCTION TO ENTROPY THEORY AND ITS APPLICATIONS IN HYDROLOGIC SCIENCE AND ENGINEERING This comprehensive volume addresses basic concepts of entropy theory from a hydrologic engineering perspective. The application of these concepts to a wide range of hydrologic engineering problems is discussed in detail. The book is divided into sections--preliminaries, rainfall and evapotranspiration, subsurface flow, surface flow, and environmental considerations. Helpful equations, solutions, tables, and diagrams are included throughout this practical resource. Entropy Theory in Hydrologic Science and Engineering covers: Introduction to entropy theory Maximum entropy production principle Performance measures Morphological analysis Evaluation and design of sampling and measurement networks Precipitation variability Rainfall frequency distributions Evaluation of precipitation forecasting schemes Assessment of potential water resources availability Evaporation Infiltration Soil moisture Groundwater flow Rainfall-runoff modeling Streamflow simulation Hydrologic frequency analysis Streamflow forecasting River flow regime classification Sediment yield Eco-index