UID:
edoccha_9958085046602883
Format:
1 online resource (xiii, 294 pages) :
,
illustrations
ISBN:
1-283-52591-7
,
9786613838360
,
0-08-095577-0
Series Statement:
Mathematics in science and engineering
Content:
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
Note:
Front Cover; Theory of Hierarchical, MuItilevel, Systems; Copyright Page; Contents; Preface; Acknowledgments; PART I: HIERARCHICAL SYSTEMS; Chapter I. Examples; 1. Hierarchical Systems in Large Scale Industrial Automation; 2. Relevance of Multilevel Systems to Organization Theory; 3. Hierarchical Order of Structures in Nature; Chapter II. Conceptualization; 1. What Is a Multilevel, Hierarchical Structure?; 2. Basic Types of Hierarchies; 3. Interlevel Dependence and Coordination; 4. Why Hierarchical Structures?; Chapter III. Formalization; 1. Introduction
,
2. Mathematical Concept of a General System; 3. Decision-Making Systems; 4. Formalization of the Hierarchical Concepts; Chapter IV. Coordination; 1. General Description of a Two-Level System; 2. Decomposition of the Subsystems; 3. Coordinability; 4. The Consistency Postulate; 5. Coordination Principles; 6. Various Aspects of the Coordination Problem; PART II: A MATHEMATICAL THEORY OF COORDINATION; Chapter V. General Theory of Coordination for Unconstrained Optimizing Systems; 1. Introduction; 2. A Two-Level Optimization System; 3. Coordination Principles and Supremal Decision Problem
,
4. Conflict Resolution in a Two-Level System; 5. Infirma1 Performance Generation and Modification; 6. Coordinability by the Balance Principle; 7. Coordinability by the Interaction Prediction Principle; 8. The Coordination Process; Chapter VI. Optimal Coordination of Dynamic Systems; 1. Introduction; 2. Preliminaries; 3. Application of the Balance Principle; 4. Application of the Prediction Principle; 5. Iterative Coordination Processes; Chapter VII. Coordination of Constrained Optimizing Systems; 1. Introduction; 2. Applicability of the Coordination Principles
,
3. Coordination of Convex Programming Problems; 4. Coordination of Linear Programming Problems; 5. A Note on the Dantzig-Wolfe Decomposition; Chapter VIII. On-Line Coordination: Coordination for Improvement; 1. Introduction; 2. On-Line Coordination Concepts in General Systems Theory; 3. Application to Linear Systems; 4. Sequential Adaptive Coordination; Appendix I; General Background; References; Index; Mathematics in Science and Engineering
,
English
Additional Edition:
ISBN 0-12-491550-7
Language:
English
Subjects:
Economics
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