Modelling and control of dynamical systems: numerical Implementation in a behavioral framework:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg
Springer
2008
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| Series: | Studies in computational intelligence
124 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 143 - 150 |
| Physical Description: | XIV, 154 S. graph. Darst. 24 cm |
| ISBN: | 9783540787341 |
Staff View
MARC
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Record in the Search Index
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| adam_text | RICARDO ZAVALA YOE MODELLING AND CONTROL OF DYNAMICAL SYSTEMS: NUMERICAL
IMPLEMENTATION IN A BEHAVIORAL FRAMEWORK WITH 35 FIGURES AND 2 TABLES
SPRINGER *JL CONTENTS 1 MOTIVATING THE BEHAVIORAL APPROACH 1 1.1
SUITABLE MODELLING AND CONTROL OF SYSTEMS 1 1.2 PARADIGMS IN MODELLING 2
1.2.1 CLOSED DYNAMICAL SYSTEMS . . . 3 1.2.2 OPEN DYNAMICAL SYSTEMS AND
THE INPUT/OUTPUT APPROACH 4 1.2.3 MORE ABOUT THE INPUT/OUTPUT APPROACH 9
1.2.4 THE BEHAVIOR OF THE SYSTEM IS THE KEY 10 1.2.5 SOME OTHER
FRAMEWORKS FOR SYSTEMS AND CONTROL . .= 10 2 BEHAVIORAL FRAMEWORK 13 2.1
MODELLING BY TEARING AND ZOOMING 13 2.1.1 CONSTITUTIVE MODELS 13 2.2
DYNAMICAL SYSTEMS 19 2.2.1 LINEAR DIFFERENTIAL SYSTEMS 19 2.3 LATENT
VARIABLES AND ELIMINATION 21 2.4 EQUIVALENT REPRESENTATIONS OF BEHAVIORS
23 2.5 OBSERVABILITY AND DETECTABILITY 23 2.6 CONTROLLABILITY AND
STABILIZABILITY 24 2.7 AUTONOMOUS BEHAVIORS 26 2.8 DEFINING INPUTS AND
OUTPUTS 27 2.9 CONTROLLABLE PART OF A BEHAVIOR 29 2.10 INTERCONNECTION
OF DYNAMICAL SYSTEMS 30 2.10.1 CONTROL AS INTERCONNECTION 30 3 FULL
INTERCONNECTION ISSUES 35 3.1 IMPLEMENTABILITY 36 3.1.1 MINIMAL
ANNIHILATIONS OF A POLYNOMIAL MATRIX 37 3.2 STABILIZATION AND POLE
PLACEMENT BY REGULAR FULL INTERCONNECTION 45 3.3 ALL REGULARLY
IMPLEMENTING CONTROLLERS 49 3.4 ALL STABILIZING CONTROLLERS 53 3.5
SUMMARY 57 VII VIII CONTENTS 4 PARTIAL INTERCONNECTION ISSUES 59 4.1
REGULAR IMPLEMENTABILITY BY PARTIAL INTERCONNECTION 59 4.2 POLE
PLACEMENT AND STABILIZATION BY REGULAR PARTIAL INTERCONNECTION 60 4.2.1
POLE PLACEMENT BY REGULAR PARTIAL INTERCONNECTION 60 4.2.2 STABILIZATION
BY REGULAR PARTIAL INTERCONNECTION 67 4.3 ALL REGULARLY IMPLEMENTING
CONTROLLERS: THE OBSERVABLE EASE 71 4.4 ALL REGULARLY IMPLEMENTING
CONTROLLERS: THE NONOBSERVABLE CASE 77 4.4.1 REDUCTION TO THE CASE THAT
R2 HAS FULL COLUMN RANK 78 4.4.2 REDUCTION TO THE OBSERVABLE CASE; 79
4.5 ALL STABILIZING CONTROLLERS 82 4.6 EXAMPLES FOR THE NONOBSERVABLE
CASE 88 4.7 SUMMARY 93 5 EMBEDDING ALGORITHMS 95 5.1 PROBLEM FORMULATION
95 5.2 PRELIMINARIES 97 5.2.1 HISTORICAL OVERVIEW 97 5.2.2 NOTATION 100
5.3 PENCILS AND MATRIX PENCILS 101 5.3.1 CANONICAL FORMS OF PENCILS 101
5.3.2 A LITTLE BIT DEEPER INTO MATRIX PENCILS 101 5.4 THE STATE SPACE
REPRESENTATION 103 5.5 EMBEDDING FOR A PENCIL 105 5.6 TRANSFORMING THE
PENCIL 106 5.7 THE ALGORITHM 107 5.7.1 QR DECOMPOSITIONS 107 5.7.2
STAIRCASE FORM OF - A ., 109 5.7.3 ALGORITHM: EMBEDDING P() ILL 5.8
SUMMARY 113 6 NUMERICAL IMPLEMENTATION 115 * 6.1 INTRODUCTION 115 6.2
ANALYSIS OF AN EXAMPLE 115 6.3 THE GEOMETRY OF THE ORBIT OF A PENCIL 117
6.4 MATRIX PENCILS AS MATHEMATICAL RELATIONS 120 6.5 CONDITIONING OF THE
PENCIL 121 6.6 MODELLING POLYNOMIALLY AND ASSESSING NUMERICALLY 128 6.7
COMPUTING THE DETERMINANT OF A POLYNOMIAL MATRIX » 131 6.8 CONCLUDING
REMARKS 133 CONTENTS IX * 7 A NEW ALGORITHM FOR EMBEDDING PROBLEMS 135
7.1 THE ALGORITHM 135 7.2 INSIDE THE ALGORITHM 137 7.3 NUMERICAL
COMPUTATION 138 7.4 EXAMPLES 138 7.5 SUMMARY 140 CONCLUSIONS AND FURTHER
RESEARCH 141 BIBLIOGRAPHY 143 SUMMARY 151 INDEX 153
|
| any_adam_object | 1 |
| author | Zavala Yoe, Ricardo |
| author_facet | Zavala Yoe, Ricardo |
| author_role | aut |
| author_sort | Zavala Yoe, Ricardo |
| author_variant | y r z yr yrz |
| building | Verbundindex |
| bvnumber | BV036475719 |
| classification_rvk | ST 300 |
| ctrlnum | (OCoLC)873512319 (DE-599)BVBBV036475719 |
| dewey-full | 515.39 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.39 |
| dewey-search | 515.39 |
| dewey-sort | 3515.39 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV036475719 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:40:17Z |
| institution | BVB |
| isbn | 9783540787341 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020347325 |
| oclc_num | 873512319 |
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| owner | DE-11 |
| owner_facet | DE-11 |
| physical | XIV, 154 S. graph. Darst. 24 cm |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| series | Studies in computational intelligence |
| series2 | Studies in computational intelligence |
| spelling | Zavala Yoe, Ricardo Verfasser aut Modelling and control of dynamical systems: numerical Implementation in a behavioral framework Ricardo Zavala Yoe Berlin ; Heidelberg Springer 2008 XIV, 154 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Studies in computational intelligence 124 Literaturverz. S. 143 - 150 Dynamisches System (DE-588)4013396-5 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Studies in computational intelligence 124 (DE-604)BV020822171 124 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020347325&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zavala Yoe, Ricardo Modelling and control of dynamical systems: numerical Implementation in a behavioral framework Studies in computational intelligence Dynamisches System (DE-588)4013396-5 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4128130-5 |
| title | Modelling and control of dynamical systems: numerical Implementation in a behavioral framework |
| title_auth | Modelling and control of dynamical systems: numerical Implementation in a behavioral framework |
| title_exact_search | Modelling and control of dynamical systems: numerical Implementation in a behavioral framework |
| title_full | Modelling and control of dynamical systems: numerical Implementation in a behavioral framework Ricardo Zavala Yoe |
| title_fullStr | Modelling and control of dynamical systems: numerical Implementation in a behavioral framework Ricardo Zavala Yoe |
| title_full_unstemmed | Modelling and control of dynamical systems: numerical Implementation in a behavioral framework Ricardo Zavala Yoe |
| title_short | Modelling and control of dynamical systems: numerical Implementation in a behavioral framework |
| title_sort | modelling and control of dynamical systems numerical implementation in a behavioral framework |
| topic | Dynamisches System (DE-588)4013396-5 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Dynamisches System Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020347325&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV020822171 |
| work_keys_str_mv | AT zavalayoericardo modellingandcontrolofdynamicalsystemsnumericalimplementationinabehavioralframework |