General Systems Theory: Mathematical Foundations
General Systems Theory: Mathematical Foundations

Author:

Publisher: Academic Press

Published: 1975-03-21

Total Pages: 283

ISBN-13: 008095622X

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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

General System Theory
General System Theory

Author: Ludwig von Bertalanffy

Publisher: George Braziller

Published: 2015

Total Pages: 0

ISBN-13: 9780807600153

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The classic book on a major modern theory

General Systems Theory
General Systems Theory

Author: Yi Lin

Publisher: Springer Science & Business Media

Published: 2006-04-11

Total Pages: 386

ISBN-13: 0306469626

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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.

General Systems Theory
General Systems Theory

Author: Jeffrey Yi-Lin Forrest

Publisher: Springer

Published: 2018-12-19

Total Pages: 378

ISBN-13: 3030045587

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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.

Mathematical Foundations of Elasticity
Mathematical Foundations of Elasticity

Author: Jerrold E. Marsden

Publisher: Courier Corporation

Published: 2012-10-25

Total Pages: 578

ISBN-13: 0486142272

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Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.

System Analysis in Engineering and Control
System Analysis in Engineering and Control

Author: Yuriy S. Vasiliev

Publisher: Springer Nature

Published: 2022-04-16

Total Pages: 619

ISBN-13: 3030988325

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This book covers the results of research that has been obtained during the last decades by scholars representing several scientific schools working in the field of theory of systems and system analysis. In the book chapters, attention is paid to the development of the general theory of systems’ provisions, approaches, models, and methods of system analysis; such as the concepts of an open system and adaptive systems; the concepts of “the movable equilibrium” and “disequilibrium”, the approach of “growing” the system and its developing through innovations; the system-target approach, systems’ regularities; ontological, cognitive and logical-linguistic models of systems, etc. The book includes parts devoted to the general theoretical and philosophical-methodological problems of systems theory; methods and models of system analysis; innovation technologies in technical and socioeconomic systems; system analyses in the educational process, and higher education management. The materials of the book may be of interest to researchers and specialists working in the field of systems analysis, engineering, computer technologies, including human–computer interaction in socio-technical systems; for the representatives of the academic and engineering society.

The Dynamics and Evolution of Social Systems
The Dynamics and Evolution of Social Systems

Author: Jürgen Klüver

Publisher: Springer Science & Business Media

Published: 2000-07-31

Total Pages: 308

ISBN-13: 9780792364436

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The central topic of this book is the mathematical analysis of social systems, understood in the following rather classical way: social systems consist of social actors who interact according to specific rules of interactions; the dynamics of social systems is then the consequences of these interactions, viz., the self-organization of social systems. According to particular demands of their environment, social systems are able to behave in an adaptive manner, that is they can change their rules of interaction by certain meta rules and thus generate a meta dynamics. It is possible to model and analyse mathematically both dynamics and meta dynamics, using cellular automata and genetic algorithms. These tools allow social systems theory to be carried through as precisely as the theories of natural systems, a feat that has not previously been possible. Readership: Researchers and graduate students in the fields of theoretical sociology and social and general systems theory and other interested scientists. No specialised knowledge of mathematics and/or computer science is required.

Analytical Planning
Analytical Planning

Author: Thomas L. Saaty

Publisher: Elsevier

Published: 2014-05-17

Total Pages: 217

ISBN-13: 1483153967

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Analytical Planning: The Organization of Systems deals with systems and planning and suggests a methodological tool for integrating the two. This book presents the basic ideas behind complexity, systems, hierarchies, and prioritization and describes planning as a unique form of decision making with illustrations of some prominent philosophical and methodological approaches. It highlights some shortcomings of traditional approaches to planning and shows how these can be addressed by the systems approach. This monograph consists of seven chapters and opens with a discussion on the nature of complexity and describes an approach that facilitates the use of creativity and experience to structure complex problems. The next chapter explains the rationale for systems thinking and how reductionism works. The Analytic Hierarchy Process is then considered, along with its relationship to some of the properties of systems. The remaining chapters focus on ways of thinking about planning and philosophies of planning; strategic planning; and the applicability of the Analytic Hierarchy Process to benefit-cost analysis and resource allocation. This book is intended for managers, decision makers, and planners, as well as researchers and practitioners in applied mathematics and computer science.

Computer Aided Systems Theory - EUROCAST '91
Computer Aided Systems Theory - EUROCAST '91

Author: Franz Pichler

Publisher: Springer Science & Business Media

Published: 1992-04-08

Total Pages: 780

ISBN-13: 9783540553540

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This volume contains a selection of papers presented at the second European workshop EUROCAST '91, held in Krems, Austria, in April 1991. It gives an overview of the current state of Computer Aided Systems Theory research and its relation to CAD applications in the engineering fields. CAST research requires the application of the most advanced information processing technology in software and hardware for the implementation of CAST method base systems. Engineers in the field of information and control engineering have the opportunity in CAST to present the state ofthe art in modeling tools to computer scientists. EUROCAST '91 proved that CAST research is still in an early state of development. The papers in the volume are organized into sections on systems theory and CAST methodology, modeling environments, CAST method base systems and artificial vision, and information and control systems.