Nonlinear systems analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Englewood Cliffs, New Jersey
Prentice Hall
1993
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| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 498 S. graph. Darst. |
| ISBN: | 0136234631 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Nonlinear systems analysis
Autor: Vidyasagar, Mathukumalli
Jahr: 1993
CONTENTS PREFACE ix NOTE TO THE READER xi 1. INTRODUCTION 1 2. NONLINEAR DIFFERENTIAL EQUATIONS 6 2.1 Mathematical Preliminaries 6 2.2 Induced Norms and Matrix Measures 79 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 4.3 Singular Perturbations 127 5. LYAPUNOV STABILITY 135 5.1 Stability Definitions 135 5.2 Some Preliminaries 147 5.3 Lyapunov’s Direct Method 157 5.4 Stability of Linear Systems 193 5.5 Lyapunov’s Linearization Method 209 5.6 TheLur’e Problem 219 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 L /; -Spaces and their Extensions 27/ 6.2 Definitionsoflnput-OutputStability 277 6.3 Relationships Between I/O and Lyapunov Stability 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 1.2 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 464 A. PREVALENCE OF DIFFERENTIAL EQUATIONS WITH UNIQUE SOLUTIONS 469 B PROOF OF THE KALMAN-YACUBOVITCH LEMMA 474 C PROOF OF THE FROBENIUS THEOREM 476 REFERENCES 486 via INDEX 493
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| discipline | Informatik Mathematik |
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| language | English |
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| physical | XI, 498 S. graph. Darst. |
| publishDate | 1993 |
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| publisher | Prentice Hall |
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| spelling | Vidyasagar, Mathukumalli 1947- Verfasser (DE-588)124243584 aut Nonlinear systems analysis M. Vidyasagar 2. ed. Englewood Cliffs, New Jersey Prentice Hall 1993 XI, 498 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Differential equations, Nonlinear System analysis Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Systemanalyse (DE-588)4116673-5 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 s DE-604 Nichtlineare Differentialgleichung (DE-588)4205536-2 s Systemanalyse (DE-588)4116673-5 s 1\p DE-604 Überarbeitung von Englewood Cliffs, NJ : Prentice-Hall, 1978 0-13-623280-9 (DE-604)BV002244741 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005428972&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 Differential equations, Nonlinear System analysis Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Systemanalyse (DE-588)4116673-5 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| subject_GND | (DE-588)4205536-2 (DE-588)4116673-5 (DE-588)4042110-7 |
| 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 Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Systemanalyse (DE-588)4116673-5 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| topic_facet | Differential equations, Nonlinear System analysis Nichtlineare Differentialgleichung Systemanalyse Nichtlineares System |
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