General Systems Theory: Mathematical Foundations

General Systems Theory: Mathematical Foundations PDF Author:
Publisher: Academic Press
ISBN: 008095622X
Category : Technology & Engineering
Languages : en
Pages : 283

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Book Description
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 Systems Theory: Mathematical Foundations

General Systems Theory: Mathematical Foundations PDF Author:
Publisher: Academic Press
ISBN: 008095622X
Category : Technology & Engineering
Languages : en
Pages : 283

Get Book Here

Book Description
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

Foundations for the Mathematical Theory of General Systems

Foundations for the Mathematical Theory of General Systems PDF Author: Yasuhiko Takahara
Publisher:
ISBN: 9780124915404
Category : System analysis
Languages : en
Pages : 0

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Book Description


General System Theory

General System Theory PDF Author: Ludwig von Bertalanffy
Publisher: George Braziller
ISBN: 9780807600153
Category : System theory
Languages : en
Pages : 0

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Book Description
The classic book on a major modern theory

General Systems Theory

General Systems Theory PDF Author: Jeffrey Yi-Lin Forrest
Publisher: Springer
ISBN: 3030045587
Category : Science
Languages : en
Pages : 378

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Book Description
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.

General Dynamical Processes: A Mathematical Introduction

General Dynamical Processes: A Mathematical Introduction PDF Author:
Publisher: Academic Press
ISBN: 008095586X
Category : Mathematics
Languages : en
Pages : 197

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Book Description
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

Mathematical Control Theory

Mathematical Control Theory PDF Author: Jerzy Zabczyk
Publisher: Springer Science & Business Media
ISBN: 9780817647322
Category : Language Arts & Disciplines
Languages : en
Pages : 276

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Book Description
In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems.

The Proceedings of the 2023 Conference on Systems Engineering Research

The Proceedings of the 2023 Conference on Systems Engineering Research PDF Author: Dinesh Verma
Publisher: Springer Nature
ISBN: 3031491793
Category :
Languages : en
Pages : 686

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Book Description


Traditions of Systems Theory

Traditions of Systems Theory PDF Author: Darrell Arnold
Publisher: Routledge
ISBN: 1135013691
Category : Computers
Languages : en
Pages : 386

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Book Description
The term ‘systems theory’ is used to characterize a set of disparate yet related approaches to fields as varied as information theory, cybernetics, biology, sociology, history, literature, and philosophy. What unites each of these traditions of systems theory is a shared focus on general features of systems and their fundamental importance for diverse areas of life. Yet there are considerable differences among these traditions, and each tradition has developed its own methodologies, journals, and forms of anaylsis. This book explores this terrain and provides an overview of and guide to the traditions of systems theory in their considerable variety. The book draws attention to the traditions of systems theory in their historical development, especially as related to the humanities and social sciences, and shows how from these traditions various contemporary developments have ensued. It provides a guide for strains of thought that are key to understanding 20th century intellectual life in many areas.

An Introduction to General Systems Thinking

An Introduction to General Systems Thinking PDF Author: Gerald M. Weinberg
Publisher: Dorset House Publishing Company, Incorporated
ISBN: 9780932633491
Category : Business & Economics
Languages : en
Pages : 308

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Book Description
A classic introduction to systems theory, with applications in computer science and beyond. -- Back cover.

The Dynamics and Evolution of Social Systems

The Dynamics and Evolution of Social Systems PDF Author: Jürgen Klüver
Publisher: Springer Science & Business Media
ISBN: 9780792364436
Category : Business & Economics
Languages : en
Pages : 308

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Book Description
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.