Nonlinear systems analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia
Society for Industrial and Applied Mathematics
2002
|
| Edition: | Originally published: Englewood Cliffs, N.J. : Prentice Hall, c1993, 2. ed. |
| Series: | Classics in applied mathematics
42 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XVII, 498 S. graph. Darst. |
| ISBN: | 0898715261 |
Staff View
MARC
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| 245 | 1 | 0 | |a Nonlinear systems analysis |c M. Vidyasagar |
| 250 | |a Originally published: Englewood Cliffs, N.J. : Prentice Hall, c1993, 2. ed. | ||
| 264 | 1 | |a Philadelphia |b Society for Industrial and Applied Mathematics |c 2002 | |
| 300 | |a XVII, 498 S. |b graph. Darst. | ||
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| 490 | 1 | |a Classics in applied mathematics |v 42 | |
| 500 | |a Includes bibliographical references and index | ||
| 534 | |c 1993 | ||
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| 650 | 4 | |a System analysis | |
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Record in the Search Index
| _version_ | 1808498047623102464 |
|---|---|
| adam_text |
CONTENTS
PREFACE
TO THE CLASSICS EDITION
xiii
PREFACE
xv
NOTE TO THE RE
ADER
xvii
1.
INTRODUCTION
1
2.
NONLINEAR DIFFERENTIAL EQUATIONS
6
2.1
Mathematical Preliminaries
6
2.2
Induced Norms and Matrix Measures
19
2.3
Contraction Mapping Theorem
27
2.4
Nonlinear Differential Equations
33
2.5
Solution Estimates
46
3.
SECOND-ORDER SYSTEMS
53
3.1
Preliminaries
53
3.2
Linearization Method
57
3.3
Periodic Solutions
67
3.4
Two Analytical Approximation Methods
79
4.
APPROXIMATE ANALYSIS METHODS
88
4.1
Describing Functions
88
4.2
Periodic Solutions: Rigorous Arguments
109
'■
L
3
Sing
u
lar
Perturb ations
127
5.
LYAPUNOV
STABILITY
135
<
t
Stability Definitions
735
.».2
Some Preliminaries
/47
3.
a Ly apunov
*
s
Direct Method
157
5.4
Stability of Linear Systems
793
5.5
Lyapunov's Linearization Method
209
5.6
The
Lur'
e
Problem
279
5.7
Converse Theorems
235
5.8
Applications
of
Converse
Theorems 246
5.9
Discrete-Time Systems
264
6.
INPUT-OUTPUT STABILITY
270
6.1
Lp-Spaces and their Extensions
27
J
6.2
Definitions of Input-Output Stability
277
6.3
Relationships Between I/O and Lyapunov Stabiiity
284
6.4
Open-Loop Stability of Linear Systems
292
6.5
Linear Time-Invariant Feedback Systems
309
6.6
Time-Varying and/or Nonlinear Systems
337
6.7
Discrete-Time Systems
365
7
DIFFERENTIAL GEOMETRIC METHODS
376
7.1
Basics of Differential Geometry
377
7.2
Distributions, Frobenius Theorem
392
7.3
Reachability and Observability
399
7.4
Feedback Linearization: Single-Input Case
427
7.5
Feedback Linearization: Multi-Input Case
438
7.6
Input-Output Linearization
456
7.7
Stabilization of Linearizable Systems
A. PREVALENCE OF DIFFERENTIAL EQUATIONS WITH UNIQUE SOLU-
TIONS
469
B. PROOF OF THE
KALMAN-
YACUBOVITCH LEMMA
474
С
PROOF OF THE FROBENIUS THEOREM
476
REFERENCES
486
INDEX
493
Xli |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Originally published: Englewood Cliffs, N.J. : Prentice Hall, c1993, 2. ed. |
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| id | DE-604.BV014595723 |
| illustrated | Illustrated |
| indexdate | 2024-08-27T00:22:19Z |
| institution | BVB |
| isbn | 0898715261 |
| language | English |
| lccn | 2002029214 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009920555 |
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| owner | DE-N2 DE-634 DE-20 DE-739 DE-384 |
| owner_facet | DE-N2 DE-634 DE-20 DE-739 DE-384 |
| physical | XVII, 498 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | marc |
| series | Classics in applied mathematics |
| series2 | Classics in applied mathematics |
| spelling | Vidyasagar, Mathukumalli 1947- Verfasser (DE-588)124243584 aut Nonlinear systems analysis M. Vidyasagar Originally published: Englewood Cliffs, N.J. : Prentice Hall, c1993, 2. ed. Philadelphia Society for Industrial and Applied Mathematics 2002 XVII, 498 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Classics in applied mathematics 42 Includes bibliographical references and index 1993 Differential equations, Nonlinear System analysis Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Systemanalyse (DE-588)4116673-5 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 s Systemanalyse (DE-588)4116673-5 s DE-604 Nichtlineares System (DE-588)4042110-7 s 1\p DE-604 Reproduktion von 2. ed. Englewood cliffs, NJ : Prentice Hall, 1993 0-13-623463-1 (DE-604)BV008225740 Classics in applied mathematics 42 (DE-604)BV008258410 42 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009920555&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vidyasagar, Mathukumalli 1947- Nonlinear systems analysis Classics in applied mathematics Differential equations, Nonlinear System analysis Nichtlineares System (DE-588)4042110-7 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Systemanalyse (DE-588)4116673-5 gnd |
| subject_GND | (DE-588)4042110-7 (DE-588)4205536-2 (DE-588)4116673-5 |
| title | Nonlinear systems analysis |
| title_auth | Nonlinear systems analysis |
| title_exact_search | Nonlinear systems analysis |
| title_full | Nonlinear systems analysis M. Vidyasagar |
| title_fullStr | Nonlinear systems analysis M. Vidyasagar |
| title_full_unstemmed | Nonlinear systems analysis M. Vidyasagar |
| title_short | Nonlinear systems analysis |
| title_sort | nonlinear systems analysis |
| topic | Differential equations, Nonlinear System analysis Nichtlineares System (DE-588)4042110-7 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Systemanalyse (DE-588)4116673-5 gnd |
| topic_facet | Differential equations, Nonlinear System analysis Nichtlineares System Nichtlineare Differentialgleichung Systemanalyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009920555&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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