UID:
almahu_9947367170302882
Format:
1 online resource (363 p.)
ISBN:
1-282-28954-3
,
9786612289545
,
0-08-095659-9
Series Statement:
Mathematics in science and engineering ; v. 151
Content:
Introduction to algebraic system theory
Note:
Description based upon print version of record.
,
Front Cover; Introduction to Algebraic System Theory; Copyright Page; CONTENTS; Preface; CHAPTER 1. INTUITIONS; 1.1 Misconceptions; 1.2 An Aspect of Algebra; 1.3 An Aspect of System Theory; 1.4 An Aspect of Algebraic System Theory; 1.5 A Glimpse of Negative Feedback; 1.6 Discussion; CHAPTER 2. SET-DYNAMICAL SYSTEMS; 2.1 Sets, Functions; 2.2 Local Dynamical Functions; 2.3 Relations; 2.4 Definition of a Set-Dynamical System; 2.5 Order Reduction; 2.6 The Key Triangle; 2.7 Signal Set Equivalences; 2.8 Local Dynamical Equivalences; 2.9 Induced Set-Dynanical Systems; 2.10 Example; 2.11 Discussion
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CHAPTER 3. OBSERVERS AND REGULATION3.1 Posets; 3.2 Lattices; 3.3 Global Dynamical Functions; 3.4 Reachability; 3.5 Observability; 3.6 The Relational Lattice; 3.7 The Equivalence Lattice; 3.8 Observer Models; 3.9 Regulator Problem Formulation; 3.10 The Internal Model Principle; 3.11 Discussion; CHAPTER 4. GROUP MORPHIC SYSTEMS; 4.1 Groups and Morphisms; 4.2 The SDS with Group Structure; 4.3 Interconnected GRMPSs: Series; 4.4 Interconnected GRMPSs: Parallel; 4.5 Refining the Triangle; 4.6 GRMPSs: Finite Transition; 4.7 Reachability Revisited; 4.8 Observability Revisited; 4.9 The State Group
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4.10 DiscussionCHAPTER 5. INVERSES OF GROUP MORPHIC SYSTEMS; 5.1 Rings; 5.2 GRMP Global Output Calculations; 5.3 State Feedback Interconnection; 5.4 Feedback and the Reachable Subgroup; 5.5 Invertibility with Delay L; 5.6 Inverse GRMP Systems; 5.7 Example; 5.8 Decoupling with State Measurement; 5.9 Discussion; CHAPTER 6. INTERCONNECTED SYSTEMS; 6.1 Key Triangle Revisited; 6.2 Notions of Interconnection; 6.3 Identical Systems: Series, Parallel, Interplays; 6.4 Identical Systems: The Ring Structure; 6.5 Extension; 6.6 A Description Simplification for Systems; 6.7 The Ring of Compatible Systems
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6.8 The Ring of Simplified Systems6.9 Quotients on Interconnected Systems; 6.10 Discussion; CHAPTER 7. ASPECTS OF MODULE MORPHIC SYSTEMS; 7.1 Modules; 7.2 Signal Representation; 7.3 Module Morphic Systems; 7.4 Matrix Module Morphic Systems; 7.5 Commutative Rings and Special Modules; 7.6 The Transfer Function: A Simple Case; 7.7 Transfer Functions and Impulse Response; 7.8 The Key Triangle-One More Time; 7.9 Remarks on Realization Theory; 7.10 Discussion; REFERENCES AND FURTHER READING; Index
,
English
Additional Edition:
ISBN 0-12-614850-3
Language:
English
