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221028 ||| eng |
| 020 |
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|a 9780080956220
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| 050 |
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4 |
|a QA402
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| 100 |
1 |
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|a Mesarović, Mihajlo D.
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| 245 |
0 |
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|a General systems theory
|b mathematical foundations
|c M.D. Mesarovic and Yasuhiko Takahara
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| 260 |
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|a New York
|b Academic Press
|c 1975, 1975
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| 300 |
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|a xii, 268 pages
|b illustrations
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| 505 |
0 |
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|a Includes bibliographical references and index
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| 505 |
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|a Chapter X. Interconnections of Subsystems, Decomposition, and Decoupling -- 1. Connecting Operators -- 2. Subsystems, Components, and Decomposition -- 3. Feedback Connection of Components -- 4. Decoupling and Functional Controllability -- 5. Abstract Pole Assignability -- 6. Simplification through Decomposition of Discrete-Time Dynamical Systems -- Chapter XI. Computability, Consistency, and Completeness -- 1. Computation as Dynamical Process -- 2. Fundamental Diagonalization (Goedel) Theorem -- 3. Application of the Fundamental Theorem to Formal Systems -- 4. Realization by Turing Machines -- Chapter XII. Categories of Systems and Associated Functors -- 1. Formation of Categories of General Systems and Homomorphic Models -- 2. Categories of General Systems -- 3. Categories of Time Systems -- 4. Categories of Dynamical Systems -- Appendix I. References and Historical Account -- Appendix II. Alternative Basis for Mathematical General Systems Theory -- 1. Axiomatic Logic Structures --
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| 505 |
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|a 2. Topological. Functional Analysis, and Quantitative Approaches -- 3. Algebraic Systems Theory -- 4. Restricted Notion of a System -- Appendix III. Open Systems and Goal-Seeking Systems -- 1. Open Systems -- 2. Goal-Seeking Systems -- Appendix IV. Basic Notions in Category Theory -- Index
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| 505 |
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|a Cover13; -- General Systems Theory: Mathematical Foundations -- Copyright Page -- Contents -- Preface -- Chapter I. Introduction -- 1. General Systems Theory: What Is It and What Is It for? -- 2. Formalization Approach for the Development of the Mathematical Theory of General Systems -- Chapter II. Basic Concepts -- 1. Set-Theoretic Concept of a General System -- 2. General Time and Dynamical Systems -- 3. Auxiliary Functions and Some Basic Classification of Systems -- 4. Causality -- Chapter III. General Realization Theory -- 1. Realizability and Dynamical Representation -- 2. Canonical Representation (Decomposition) of Dynamical Systems and Characterization of States -- 3. Constructive Origin of State-Space Representation -- Chapter IV. Linearity -- 1. Linear Time Systems -- 2. Decomposition of Systems Response: State- and Input-Response Functions -- 3. Realization Theory -- 4. Construction of the State Space for a Linear System -- Chapter V. Past-Determinacy --
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| 505 |
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|a 1. On the Class of Past-Determined Systems -- 2. State-Space Representation -- 3. Characterization of Past-Determined Systems -- Chapter VI. Stationarity and Time Invariance -- 1. State-Space Stationarity and Time Invariance -- 2. Realization Theory of Time-Invariant Systems -- 3. Stationary Past-Determined Systems -- 4. Axiomatic Construction of a Class of Dynamical Systems -- 5. Abstract Transfer Function -- Chapter VII. Controllability -- 1. Basic Concepts -- 2. Some General Conditions for Controllability -- 3. Controllability of Time Systems -- 4. Overview of Some Basic Linear Time Systems Properties Related to Controllability -- Chapter VIII. Minimal Realization -- 1. Concepts of Minimal Realizations -- 2. Characterization of the Minimal Realization of Stationary Systems -- 3. Uniqueness of Minimal Input-Response Realization -- Chapter IX. Stability -- 1. General Concept of Stability -- 2. Stability of Sets for General Systems --
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| 653 |
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|a SCIENCE / System Theory / bisacsh
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| 653 |
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|a TECHNOLOGY & ENGINEERING / Operations Research / bisacsh
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| 653 |
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|a System analysis / fast / (OCoLC)fst01141385
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| 653 |
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|a System analysis
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| 653 |
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|a Analyse de systèmes
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| 653 |
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|a Systemtheorie / gnd / http://d-nb.info/gnd/4058812-9
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| 653 |
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|a SYSTEMS ANALYSIS. / nasat
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| 653 |
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|a Grundlage / gnd / http://d-nb.info/gnd/4158388-7
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| 653 |
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|a General systems theory
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| 653 |
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|a Mathematik / gnd
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| 653 |
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|a systems analysis / aat
|
| 700 |
1 |
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|a Takahara, Yasuhiko
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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| 490 |
0 |
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|a Mathematics in science and engineering
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| 015 |
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|a GB7524455
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| 776 |
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|z 008095622X
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| 776 |
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|z 9780124915404
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| 776 |
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|z 012491540X
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| 776 |
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|z 9780080956220
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| 856 |
4 |
0 |
|u https://www.sciencedirect.com/science/bookseries/00765392/113
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 003
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| 520 |
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|a 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;<BR id="CRLF">methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and<BR id="CRLF">methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.<BR id="CRLF"><BR id="CRLF">As a result, the book represents a blend of new methods in general computational analysis, <BR id="CRLF">and specific, but also generic, techniques for study of systems theory ant its particular<BR id="CRLF">branches, such as optimal filtering and information compression
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