Dynamical systems with saturation nonlinearities: analysis and design
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London u.a.
Springer
1994
|
| Schriftenreihe: | Lecture notes in control and information sciences
195 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 191 S. graph. Darst. |
| ISBN: | 3540198881 0387198881 |
Internformat
MARC
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| 300 | |a XIV, 191 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
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| adam_text |
CONTENTS
CHAPTER 1: INTRODUCTION TO DYNAMICAL SYSTEMS WITH
SATURATION NONLINEARITIES 1
1.1 Dynamical Systems and Saturation Nonlinearities 1
1.2 Control Systems with Saturation Nonlinearities 4
1.3 Digital Filters with Overflow Corrections 5
1.4 Feedback Neural Networks and Associative Memories 6
PARTI
QUALITATIVE THEORY OF CONTROL SYSTEMS WITH
CONTROL CONSTRAINTS AND STATE SATURATION: TWO
FUNDAMENTAL ISSUES 9
CHAPTER 2: INTRODUCTION TO PART 1 11
2.1 Concepts of Stability and Lyapunov Functions 11
2.2 Principal Lyapunov Stability Theorems 16
2.3 Controllability 17
CHAPTER 3: ASYMPTOTIC STABILITY OF DYNAMICAL SYSTEMS WITH
STATE SATURATION 20
3.1 Introduction to Continuous Time Systems 20
3.2 Notation 22
3.3 Main Result for Continuous Time Systems 23
3.4 Introduction to Discrete Time Systems 27
3.5 A General Result for Discrete Time Systems 29
3.6 Results Involving Quadratic Form Lyapunov Functions 31
xii
3.7 Examples 34
3.8 Concluding Remarks 35
CHAPTER 4: NULL CONTROLLABILITY OF DISCRETE TIME
DYNAMICAL SYSTEMS WITH CONTROL CONSTRAINTS
AND STATE SATURATION 37
4.1 Introduction 37
4.2 Main Results 39
4.3 Examples 44
4.4 Concluding Remarks 49
PART II
STABILITY ANALYSIS OF ONE DIMENSIONAL AND
MULTIDIMENSIONAL STATE SPACE DIGITAL FILTERS
WITH OVERFLOW NONLINEARITIES 51
CHAPTER 5: INTRODUCTION TO PART II 53
5.1 Fixed Point Digital Filters and Overflow Nonlinearities 53
5.2 Limit Cycles in Fixed Point Digital Filters 56
5.3 Multidimensional Digital Filters 58
CHAPTER 6: CRITERIA FOR THE ABSENCE OF OVERFLOW
OSCILLATIONS IN FIXED POINT DIGITAL FILTERS
USING GENERALIZED OVERFLOW
CHARACTERISTICS 60
6.1 Introduction 60
6.2 Some Existing Results 61
6.3 Digital Filters Using Saturation Arithmetic 62
6.4 Digital Filters Using Generalized Overflow Characteristics 64
6.5 Algorithms for Determining the Matrix H 71
6.6 Examples 75
6.7 Concluding Remarks 76
xiii
CHAPTER 7: STABILITY ANALYSIS OF STATE SPACE
REALIZATIONS FOR MULTIDIMENSIONAL
FILTERS WITH OVERFLOW NONLINEARITIES 77
7.1 Introduction 77
7.2 General Results for Two Dimensional Digital Filters 79
7.3 Main Result for Two Dimensional Digital Filters 93
7.4 Multidimensional Digital Filters with Overflow Nonlinearities 96
7.5 Examples 99
7.6 Concluding Remarks 101
PART IH
ANALYSIS AND SYNTHESIS OF A CLASS OF NEURAL
NETWORKS WITH INTERCONNECTION CONSTRAINTS WITH
APPLICATIONS TO ASSOCIATIVE MEMORIES 103
CHAPTER 8: INTRODUCTION TO PART IE 105
8.1 Models of Feedback Neural Networks 105
8.2 Design Methods for Associative Memories 108
8.3 Analog VLSI Implementations and Problems 110
8.4 Cellular Neural Networks 111
CHAPTER 9: ANALYSIS AND SYNTHESIS OF A CLASS OF
NEURAL NETWORKS WITH PIECEWISE LINEAR
SATURATION ACTIVATION FUNCTIONS 114
9.1 Introduction 114
9.2 Notation 116
9.3 Analysis Results 117
9.4 Synthesis Procedures 123
9.5 An Example 127
9.6 Concluding Remarks 130
xiv
CHAPTER 10: SPARSELY INTERCONNECTED NEURAL NETWORKS
FOR ASSOCIATIVE MEMORIES WITH APPLICATIONS
TO CELLULAR NEURAL NETWORKS 131
10.1 Introduction 131
10.2 Sparse Design Procedures 133
10.3 Applications to Cellular Neural Networks 138
10.4 Examples 140
10.5 Chinese Character Recognition 147
10.6 Concluding Remarks 152
CHAPTER 11: ROBUSTNESS ANALYSIS OF A CLASS OF SPARSELY
INTERCONNECTED NEURAL NETWORKS WITH
APPLICATIONS TO THE DESIGN PROBLEM 154
11.1 Introduction 154
11.2 Robustness Analysis 155
11.3 Applications to the Design Problem 159
11.4 Examples 166
11.5 Concluding Remarks 175
CLOSING REMARKS 177
BIBLIOGRAPHY 178
ABOUT THE AUTHORS 190 |
| any_adam_object | 1 |
| author | Liu, Derong Michel, Anthony N. 1935- |
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| dewey-ones | 003 - Systems |
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| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV009745561 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T05:17:32Z |
| institution | BVB |
| isbn | 3540198881 0387198881 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006445703 |
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| physical | XIV, 191 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Liu, Derong Verfasser aut Dynamical systems with saturation nonlinearities analysis and design Derong Liu and Anthony N. Michel London u.a. Springer 1994 XIV, 191 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 195 Commande, théorie de la ram Controleleer gtt Differentiaalvergelijkingen gtt Filtres numériques (Mathématiques) ram Neurale netwerken gtt Réseaux neuronaux (Informatique) ram Théories non-linéaires ram Control theory Differentiable dynamical systems Digital filters (Mathematics) Neural networks (Computer science) Nonlinear theories Rückkopplung (DE-588)4050851-1 gnd rswk-swf Ljapunov-Methode (DE-588)4167990-8 gnd rswk-swf Nichtlineares Digitalfilter (DE-588)4260108-3 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Neuronales Netz (DE-588)4226127-2 gnd rswk-swf Nichtlineare Regelung (DE-588)4132964-8 gnd rswk-swf Assoziativspeicher (DE-588)4124575-1 gnd rswk-swf Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 s DE-604 Ljapunov-Stabilitätstheorie (DE-588)4167992-1 s Nichtlineare Regelung (DE-588)4132964-8 s Dynamisches System (DE-588)4013396-5 s Nichtlineares Digitalfilter (DE-588)4260108-3 s Ljapunov-Methode (DE-588)4167990-8 s Neuronales Netz (DE-588)4226127-2 s Rückkopplung (DE-588)4050851-1 s Assoziativspeicher (DE-588)4124575-1 s Michel, Anthony N. 1935- Verfasser (DE-588)11087076X aut Lecture notes in control and information sciences 195 (DE-604)BV005848579 195 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006445703&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Liu, Derong Michel, Anthony N. 1935- Dynamical systems with saturation nonlinearities analysis and design Lecture notes in control and information sciences Commande, théorie de la ram Controleleer gtt Differentiaalvergelijkingen gtt Filtres numériques (Mathématiques) ram Neurale netwerken gtt Réseaux neuronaux (Informatique) ram Théories non-linéaires ram Control theory Differentiable dynamical systems Digital filters (Mathematics) Neural networks (Computer science) Nonlinear theories Rückkopplung (DE-588)4050851-1 gnd Ljapunov-Methode (DE-588)4167990-8 gnd Nichtlineares Digitalfilter (DE-588)4260108-3 gnd Dynamisches System (DE-588)4013396-5 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Neuronales Netz (DE-588)4226127-2 gnd Nichtlineare Regelung (DE-588)4132964-8 gnd Assoziativspeicher (DE-588)4124575-1 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd |
| subject_GND | (DE-588)4050851-1 (DE-588)4167990-8 (DE-588)4260108-3 (DE-588)4013396-5 (DE-588)4126142-2 (DE-588)4226127-2 (DE-588)4132964-8 (DE-588)4124575-1 (DE-588)4167992-1 |
| title | Dynamical systems with saturation nonlinearities analysis and design |
| title_auth | Dynamical systems with saturation nonlinearities analysis and design |
| title_exact_search | Dynamical systems with saturation nonlinearities analysis and design |
| title_full | Dynamical systems with saturation nonlinearities analysis and design Derong Liu and Anthony N. Michel |
| title_fullStr | Dynamical systems with saturation nonlinearities analysis and design Derong Liu and Anthony N. Michel |
| title_full_unstemmed | Dynamical systems with saturation nonlinearities analysis and design Derong Liu and Anthony N. Michel |
| title_short | Dynamical systems with saturation nonlinearities |
| title_sort | dynamical systems with saturation nonlinearities analysis and design |
| title_sub | analysis and design |
| topic | Commande, théorie de la ram Controleleer gtt Differentiaalvergelijkingen gtt Filtres numériques (Mathématiques) ram Neurale netwerken gtt Réseaux neuronaux (Informatique) ram Théories non-linéaires ram Control theory Differentiable dynamical systems Digital filters (Mathematics) Neural networks (Computer science) Nonlinear theories Rückkopplung (DE-588)4050851-1 gnd Ljapunov-Methode (DE-588)4167990-8 gnd Nichtlineares Digitalfilter (DE-588)4260108-3 gnd Dynamisches System (DE-588)4013396-5 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Neuronales Netz (DE-588)4226127-2 gnd Nichtlineare Regelung (DE-588)4132964-8 gnd Assoziativspeicher (DE-588)4124575-1 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd |
| topic_facet | Commande, théorie de la Controleleer Differentiaalvergelijkingen Filtres numériques (Mathématiques) Neurale netwerken Réseaux neuronaux (Informatique) Théories non-linéaires Control theory Differentiable dynamical systems Digital filters (Mathematics) Neural networks (Computer science) Nonlinear theories Rückkopplung Ljapunov-Methode Nichtlineares Digitalfilter Dynamisches System Nichtlineares dynamisches System Neuronales Netz Nichtlineare Regelung Assoziativspeicher Ljapunov-Stabilitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006445703&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT liuderong dynamicalsystemswithsaturationnonlinearitiesanalysisanddesign AT michelanthonyn dynamicalsystemswithsaturationnonlinearitiesanalysisanddesign |