Download or read book General Systems Theory Mathematical Foundations written by and published by Academic Press. This book was released on 1975-03-21 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Download or read book Foundations for the Mathematical Theory of General Systems written by Yasuhiko Takahara and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book General Systems Theory and its mathematical foundation written by and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Systems Theory I written by Diederich Hinrichsen and published by Springer Science & Business Media. This book was released on 2011-08-03 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.

Download or read book General System Theory written by Ludwig von Bertalanffy and published by George Braziller. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classic book on a major modern theory

Download or read book General Systems Theory written by Yi Lin and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: As suggested by the title of this book, I will present a collection of coherently related applications and a theoretical development of a general systems theory. Hopefully, this book will invite all readers to sample an exciting and challenging (even fun!) piece of interdisciplinary research, that has characterized the scientific and technological achievements of the twentieth century. And, I hope that many of them will be motivated to do additional reading and to contribute to topics along the lines described in the following pages. Since the applications in this volume range through many scientific disciplines, from sociology to atomic physics, from Einstein’s relativity theory to Dirac’s quan tum mechanics, from optimization theory to unreasonable effectiveness of mathe matics to foundations of mathematical modeling, from general systems theory to Schwartz’s distributions, special care has been given to write each application in a language appropriate to that field. That is, mathematical symbols and abstractions are used at different levels so that readers in various fields will find it possible to read. Also, because of the wide range of applications, each chapter has been written so that, in general, there is no need to reference a different chapter in order to understand a specific application. At the same time, if a reader has the desire to go through the entire book without skipping any chapter, it is strongly suggested to refer back to Chapters 2 and 3 as often as possible.

Download or read book General Systems Theory written by Jeffrey Yi-Lin Forrest and published by Springer. This book was released on 2018-12-19 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the theoretical value and practical significance of systems science and its logic of thinking by presenting a rigorously developed foundation—a tool for intuitive reasoning, which is supported by both theory and empirical evidence, as well as practical applications in business decision making. Following a foundation of general systems theory, the book presents an applied method to intuitively learn system-sciences fundamentals. The third and final part examines applications of the yoyo model and the theoretical results developed earlier within the context of problems facing business decision makers by organically combining methods of traditional science, the first dimension of science, with those of systems science, the second dimension, as argued by George Klir in the 1990s. This text would benefit graduate students, researchers, or practitioners in the areas of mathematics, systems science or engineering, economics, and business decision science.

Download or read book General System Theory written by Ludwig von Bertalanffy and published by New York : G. Braziller. This book was released on 2003 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathered here are Ludwig von Bertalanffy's writings on general systems theory, selected and edited to show the evolution of systems theory and to present it applications to problem solving.

Download or read book Mathematical Foundations for General Systems Theory written by Mihajlo D. Mesarović and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Foundations of System Theory Finitary and Infinitary Conditions written by Brian D.O. Anderson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is one of a series in which the ideas of category theory are applied to problems of system theory. As with the three principal earlier papers, [1-3], the emphasis is on study of the realization problem, or the problem of associating with an input-output description of a system an internal description with something analogous to a state-space. In this paper, several sorts of machines will be discussed, which arrange themselves in the following hierarchy: Input process Machine Output process (Tree automaton) Machine ~ ~ State-behavior Machine I Adjoint Machine .(Sequential Machine) ., I Decomposable Machine (Linear System, Group Machine) Each member of the hierarchy includes members below it; examples are included in parentheaes, and each example is at its lowest possible point in the hierarchy. There are contrived examples of output process machines and IV state-behavior machines which are not adjoint machines [3], but as yet, no examples with the accepted stature of linear systems [4], group machines [5, 6], sequential machines [7, Ch. 2], and tree automata [7, Ch. 4].

Download or read book General Systems Theory a Focus on Computer Science Engineering written by Dougglas Hurtado Carmona and published by Lulu.com. This book was released on 2011-11 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Edition of the Treaty on general systems theory, and is targeted towards the engineering of computer science. It is a work-quality teaching materials that today are not the common domain, but will become increasingly indispensable as a necessary complement to the upper basic education and its outreach to community life, ie to the professional, banking, business and, of course, university. TABLE OF CONTENTS 1. BASES ON THE GENERAL THEORY OF SYSTEMS (the reductionist approach. THE FOCUS OF THE GENERAL THEORY OF SYSTEMS. APPROACHES THE ART OF PROBLEM SOLVING.) 2. BASICS OF SYSTEMS (DEFINITIONS. ELEMENTS OF A SYSTEM. ENTROPY IN SYSTEMS MANAGEMENT SYSTEMS CONTROL SYSTEMS) 3. SYSTEM DYNAMICS 4. CONSTRUCTION OF COMPUTER MODELS 5. CONSTRUCTION of CONCURRENT COMPUTER MODELS 6. CONSTRUCTION OF COMPUTER MODELS CLIENT SERVER 7. DYNAMICS OF

Download or read book Mathematical Systems Theory and Economics I II written by H.W. Kuhn and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Summer School on Mathematical Systems Theory and Economics was held at the Villa Monastero in Varenna, Italy, from June 1 through June 12, 1967. The objective of this Summer School was to review the state of the art and the prospects for the application of the mathematical theory of systems to the study and the solution of economic problems. Particular emphasis was given to the use of the mathematical theory of control for the solution of problems in economics. It was felt that the publication of a volume collecting most of the lectures given at the school would show the current status of the application of these methods. The papers are organized into four sections arranged into two volumes: basic theories and optimal control of economic systems which appear in the first volume, and special mathematical problems and special applications which are contained in the second volume. Within each section the papers follow in alphabetical order by author. The seven papers on basic theories are a rather complete representative sample of the fundaments of general systems theory, of the theory of dynamical systems and the theory of control. The five papers on the application of optimal control to economic systems present a broad spectrum of applications.

Download or read book The Dynamics and Evolution of Social Systems written by Jürgen Klüver and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: When I started with this book several years ago I originally intended to write an introduction to mathematical systems theory for social scientists. Yet the more I thought about systems theory on the one side and theoretical sociology on the other the more I became convinced that the classical mathematical tools are not very well suited for the problems of sociology. Then I became acquainted with the researches on complex systems by the Santa Fe Institute and in particular with cellular automata, Boolean networks and genetic algorithms. These mathematically very simple but extremely efficient tools are, in my opinion, very well appropriate for modeling social dynamics. Therefore I tried to reformulate several classical problems of theoretical sociology in terms of these formal systems and outline new possibilities for a mathematical sociology which is able to join immediately on the great traditions of theoretical sociology. The result is this book; whether I succeeded with it is of course up to the readers. As the readers will perceive, the book could not have been written by me alone but only by the joint labors of the computer group at the Interdisciplinary Center of Research in Higher Education at the University of Essen. The members of the group, Christina Stoica, Jom Schmidt and Ralph Kier, are named in several subchapters as co-authors. Yet even more important than their contributions to this book were the permanent discussions with them and their patience with my new and very speculative ideas. Many thanks.

Download or read book General Dynamical Processes A Mathematical Introduction written by and published by Academic Press. This book was released on 1971-05-31 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Download or read book Views on General Systems Theory written by Mihajlo D. Mesarović and published by Krieger Publishing Company. This book was released on 1974 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book General Systems Theory written by Lars Skyttner and published by World Scientific. This book was released on 2005 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems theorists see common principles in the structure and operation of systems of all kinds and sizes. They promote an interdisciplinary science adapted for a universal application with a common language and area of concepts. In order to solve problems, make recommendations and predict the future, they use theories, models and concepts from the vast area of general systems theory. This approach is chosen as a means to overcome the fragmentation of knowledge and the isolation of the specialist but also to find new approaches to problems created by earlier 'solution of problems.'. This revised and updated second edition of General Systems Theory OCo Ideas and Applications includes new systems theories and a new chapter on self-organization and evolution. The book summarizes most of the fields of systems theory and its application systems science in one volume. It provides a quick and readable reference guide for future learning containing both general theories and practical applications without the use of complicated mathematics. Sample Chapter(s). Chapter 1: The Emergence of Holistic Thinking (2,002 KB). Contents: The Theories and Why: The Emergence of Holistic Thinking; Basic Ideas of General Systems Theory; A Selection of Systems Theories; Communication and Information Theory; Some Theories of Brain and Mind; Self-Organization and Evolution; The Applications and How: Artificial Intelligence and Life; Organizational Theory and Management Cybernetics; Decision-Making and Decision Aids; Informatics; Some of the Systems Methodologies; The Future of Systems Theory. Readership: Computer specialists, architects, businessmen, decision makers of all kinds, teachers and holistic thinkers."

Download or read book Theory of Hierarchical Multilevel Systems written by and published by Elsevier. This book was released on 2000-04-01 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering