Abstract systems theory:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1989
|
| Series: | Lecture notes in control and information sciences
116 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 439 S. |
| ISBN: | 3540505296 0387505296 |
Staff View
MARC
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| 245 | 1 | 0 | |a Abstract systems theory |c M. D. Mesarovic ; Y. Takahara |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1989 | |
| 300 | |a VIII, 439 S. | ||
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Record in the Search Index
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| adam_text |
TABLE OFCONTENTS
Chapter 1 INTRODUCTION 1
1.1 The Object of Study in Abstract Systems Theory 1
1.2 The Subject of the Book 7
1.3 Approach and Issues 8
Chapter 2 BASIC SYSTEMS CONCEPTS VIA FORMALEATION 12
2.1 Notion of an Abstract System 12
2.2 Cybernetic Structure 16
2.3 Structural Similarity 28
2.3.1 Formulation 28
2.3.2 Elementary Modeling Relation 30
2.4 Behavioral Similarity 36
2.4.1 Formulation 36
2.4.2 General Metrization 38
2.5 Systems Types 40
2.5.1 Time Systems 40
2.5.2 Goal Seeking Systems 43
Chapter 3 BASIC ATTRIBUTES 44
3.1 State: Internal Representation of Terminal Systems 45
3.1.1 State Object and State Space 45
3.1.2 Existence of Dynamical System Representation 51
3.1.3 Minimal Realization 60
3.2 Causality Determinism in Systems 64
3.2.1 Concept and Definition of Causality 64
3.2.2 Characterization of Causality and Causal Morphism 67
3.2.3 State Space Representation 79
3.2.4 Causal Ordering 82
3.3 Stationarity Time Invariance in Systems 85
3.3.1 Concept and Definitions of Stationarity 85
3.3.2 Characteristics of Stationarity and Stationarity Morphisms 89
3.3.3 Stationarization Procedures and Stationarization Functor 96
3.4 Stability Continuity of Systems Behavior 110
3.4.1 Concept and Definition of Stability 110
3.4.2 Characterization of the Lyapunov Type Stability 114
3.5 Feedback Transformation of Systems 119
VI
3.5.1 Concept and Formulation of Feedback 119
3.5.2 Issues in Feedback Systems Studies 124
3.6 Controllability Ability of Systems to Perform 129
3.6.1 Concept of Controllability 129
3.6.2 Controllability of Time Systems 131
3.7 Consistency and Completeness 135
Chapter 4 STRUCTURED TERMINAL SYSTEMS
CHARACTERIZATION 139
4.1 Preliminary Notions 139
4.1.1 Additional Properties and Classification of Systems 139
4.1.2 Formulation of the Characterization Problem 140
4.2 Finite Automata Type Systems 142
4.2.1 Finite Automata and Time Systems 142
4.2.2 Characterization of Finite Automaton 143
4.2.3 Other Characterizing Conditions 148
4.3 Basic Linear Systems — Linear Ordinary Differential
Equation Systems 150
4.3.1 Concept of Basic Linear System 150
4.3.2 Representation Theory of Basic Linear System 154
4.4 Generalized Basic Linear Systems — Linear Partial
Differential Equation Systems 163
4.4.1 Examples ofLinear Partial Differential Equation Systems 163
4.4.2 Definition of Generalized Basic Linear System 172
4.4.3 Finitely Observable Linear Systems 178
Chapter 5 BASIC PROPERTIES OF ABSTRACT TIME SYSTEMS 182
5.1 Uniqueness of Representation 182
5.1.1 Concept of Uniqueness 182
5.1.2 Unique Representation of (Strongly) Stationary
Past Determined System 184
5.1.3 Application to Basic Linear Systems and Generalized
Basic Linear Systems 189
5.2 Causal Ordering and Inverse System 190
5.2.1 Causal Ordering 190
5.2.2 Invertability of Basic Linear Systems 203
5.3 Feedback Well Posedness of Basic Linear Systems 210
5.3.1 Problem Formulation 210
VII
5.3.2 Well Posedness Condition of Basic Linear
Systems 212
5.3.3 Well Posed Class of Basic Linear Systems 219
5.4 Category of Terminal Systems 221
5.4.1 Category Theory and Systems Theory: General
Considerations 221
5.4.2 Categorical Realization Theory of Basic Linear Systems 225
5.4.3 Basic Property of the Category of Basic Linear Systems 245
Chapter 6 GOAL SEEKING SYSTEM 256
6.1 Analysis of the Goal Seeking Concept 256
6.2 Decision Principles 264
6.3 Characterization of Decision Principles 268
6.4 Application of Satisfaction Decision Principle 295
6.5 Structure of Rational Decision Principles 302
6.5.1 Category of Decision Problems and Category of
Ordered Alternatives 302
6.5.2 Decision Principle Functors and Their Properties 305
6.5.3 Realizations of Decision Principle Functor 315
Chapter 7 COMPLEX SYSTEMS 330
7.1 Complex Systems Concept 330
7.1.1 Illustration of Complex Systems Concepts 330
7.1.2 Classification of Complex Systems 332
7.2 Complex Terminal Systems 336
7.2.1 Basic Definitions and Problems of Complex Input/Output
Systems 336
7.2.2 General Decomposition Theory 337
7.2.3 Interactions 356
7.2.4 Decoupling of Complex Input Output System 376
7.3 Hierarchical Goal Seeking System 386
7.3.1 Concept of Hierarchical Goal Seeking System 386
7.3.2 Coordination 394
7.3.3 Integration of Large Scale Goal Seeking Systems
Theories 406
VIII
APPENDIX I MATHEMATICAL PRELIMINARIES 415
1 Set Theory 417
2 Algebra 426
3 Category Theory 429
4 Topology 432
5 Linear Space 434
6 Others 435
BIBLIOGRAPHY 437 |
| any_adam_object | 1 |
| author | Mesarović, Mihajlo D. 1928- Takahara, Yasuhiko 1935- |
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| id | DE-604.BV001324480 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T05:03:48Z |
| institution | BVB |
| isbn | 3540505296 0387505296 |
| language | English |
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| physical | VIII, 439 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Mesarović, Mihajlo D. 1928- Verfasser (DE-588)133616959 aut Abstract systems theory M. D. Mesarovic ; Y. Takahara Berlin u.a. Springer 1989 VIII, 439 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 116 Mathematik (DE-588)4037944-9 gnd rswk-swf Systemtheorie (DE-588)4058812-9 gnd rswk-swf Systemtheorie (DE-588)4058812-9 s Mathematik (DE-588)4037944-9 s DE-604 Takahara, Yasuhiko 1935- Verfasser (DE-588)112132642 aut Lecture notes in control and information sciences 116 (DE-604)BV005848579 116 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000800472&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mesarović, Mihajlo D. 1928- Takahara, Yasuhiko 1935- Abstract systems theory Lecture notes in control and information sciences Mathematik (DE-588)4037944-9 gnd Systemtheorie (DE-588)4058812-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4058812-9 |
| title | Abstract systems theory |
| title_auth | Abstract systems theory |
| title_exact_search | Abstract systems theory |
| title_full | Abstract systems theory M. D. Mesarovic ; Y. Takahara |
| title_fullStr | Abstract systems theory M. D. Mesarovic ; Y. Takahara |
| title_full_unstemmed | Abstract systems theory M. D. Mesarovic ; Y. Takahara |
| title_short | Abstract systems theory |
| title_sort | abstract systems theory |
| topic | Mathematik (DE-588)4037944-9 gnd Systemtheorie (DE-588)4058812-9 gnd |
| topic_facet | Mathematik Systemtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000800472&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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