Random processes in nonlinear control systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Acad. Pr.
1965
|
| Series: | Mathematics in science and engineering
15 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | XV, 341 S. graph. Darst. |
Staff View
MARC
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| 245 | 1 | 0 | |a Random processes in nonlinear control systems |c A. A. Pervozvanskii |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Editor s Foreword v
Preface vii
INTRODUCTION 1
Chapter 1
NONLINEAR TRANSFORMATIONS WITHOUT
FEEDBACK
1.1 Nonlinear Lagless Transformations 16
1.2 Nonlinear Transformations with Lag 43
1.3 The Problem of Synthesis. Optimal Conditions for
Various Classes of Transformations 56
1.4 The Application of Methods of Synthesis.
Nonlinear Filters 68
1.5 Statistical Linearization 77
Chapter 2
NONLINEAR TRANSFORMATIONS WITH
FEEDBACK. STATIONARY STATES
2.1 A Short Description of the Basic Methods of Investigation 88
2.2 The Application of Statistical Linearization to the Analysis
of Nonlinear Transformations with Normally
Distributed Stationary Signals 91
2.3 Computation of Frequency Distortions Introduced by
Nonlinear Elements 107
2.4 Restrictions Imposed by the Requirement That the
Input Signal of the Nonlinear System Be Normal 115
2.5 The Synthesis of Linear Compensation Networks in
Closed Loop Systems with Nonlinearities 123
2.6 Application of the Theory of Markov Processes in the
Study of Some Nonlinear Systems 138
xiii
xiv Contents
Chapter 3
NONLINEAR TRANSFORMATIONS WITH
FEEDBACK. NONSTATIONARY STATES
3.1 The Transformation of a Slowly Changing Signal in the
Presence of a High Frequency Random Interference 146
3.2 Passage of a Slowly Varying Random Signal through a
System in a State with Periodic Oscillations 158
3.3 Transformation of the Sum of Wide Band, Normal, Random Signals,
and Harmonic Signals in a Nonlinear System with Feedback
(Method of Statistical Linearization) 167
3.4 Random Disturbances of Periodic States in Relay Systems
(Exact Solution by the Method of Alignment) 185
Chapter 4
EXTREMAL SYSTEMS
4.1 Basic Principles of the Operation of Extremal Systems 211
4.2 Extremal Systems with a Time Separation between Testing and
Operation; Systems with Proportional Action 222
4.3 Discrete Extremal Systems with Constant Steps 248
4.4 Extremal Systems in Which Testing and Operation Are
Separated by a Frequency Band 269
4.5 An Automatic Extremal System with Simultaneous Testing
and Operation 277
Appendix I
FUNCTIONS my(mx , ox), ht(mx , ox), Ol(mx , ox), AND
OjK, ax) FOR SEVERAL TYPICAL NONLINEARITIES
1. The Ideal Relay Y = isgnX 293
2. A Relay with a Dead Zone 294
3. An Element with a Bounded Zone of Linearity 297
4. An Element with a Dead Zone 297
5. An Element with a Bounded Zone of Linearity and a
Dead Zone 298
6. An Element with a Characteristic of the Form Y = Nx2 sgn * 300
7. An Element with the Characteristic Y = Nxa 300
8. A Relay with a Hysteresis Loop 301
9. An Element with a Bounded Zone of Linearity with
Nonsymmetrical Bounds 303
Contents xv
Appendix II
REPRESENTATION OF A LAGLESS NONLINEAR
TRANSFORMATION IN THE FORM OF AN
INTEGRAL TRANSFORMATION IN A COMPLEX
REGION. THE THEOREM OF R. PRICE 304
Appendix III
COMPUTATION OF THE INTEGRALS /„ 309
Appendix IV
THE COEFFICIENTS OF STATISTICAL LINEARIZATION
h,(o, t) AND fi2(o, a) FOR TYPICAL NONLINEARITIES
1. The Ideal Relay 311
2. A Relay with a Dead Zone 313
3. An Element with a Bounded Zone of Linearity 314
4. An Element with a Bounded Zone of Linearity and Dead Zone 315
5. An Element with the Characteristic f(X) = JVX2sgnx 317
6. Elements with the Characteristic/^) = NX2n+1 where n = 1, 2, 3, ... 317
Appendix V
ELEMENTARY STATEMENTS ON THE THEORY
OF MARKOV PROCESSES
Related Literature 329
Bibliography 332
Author Index 339
Subject Index 341
|
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| id | DE-604.BV002048925 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:39:29Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001340039 |
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| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-20 DE-19 DE-BY-UBM DE-706 DE-83 DE-188 |
| physical | XV, 341 S. graph. Darst. |
| publishDate | 1965 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | Acad. Pr. |
| record_format | marc |
| series | Mathematics in science and engineering |
| series2 | Mathematics in science and engineering |
| spelling | Pervozvanskij, Anatolij A. Verfasser aut Sučaynyie processy v nelineynych avtomatičeskich sistemach Random processes in nonlinear control systems A. A. Pervozvanskii New York u.a. Acad. Pr. 1965 XV, 341 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics in science and engineering 15 Aus d. Russ. übers. Stochastische Kontrolltheorie (DE-588)4263657-7 gnd rswk-swf Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd rswk-swf Regelungstheorie (DE-588)4122327-5 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Nichtlineare Kontrolltheorie (DE-588)4475218-0 s Stochastische Kontrolltheorie (DE-588)4263657-7 s DE-604 Stochastischer Prozess (DE-588)4057630-9 s Regelungstheorie (DE-588)4122327-5 s Mathematics in science and engineering 15 (DE-604)BV000001196 15 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001340039&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pervozvanskij, Anatolij A. Random processes in nonlinear control systems Mathematics in science and engineering Stochastische Kontrolltheorie (DE-588)4263657-7 gnd Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Regelungstheorie (DE-588)4122327-5 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| subject_GND | (DE-588)4263657-7 (DE-588)4475218-0 (DE-588)4122327-5 (DE-588)4057630-9 |
| title | Random processes in nonlinear control systems |
| title_alt | Sučaynyie processy v nelineynych avtomatičeskich sistemach |
| title_auth | Random processes in nonlinear control systems |
| title_exact_search | Random processes in nonlinear control systems |
| title_full | Random processes in nonlinear control systems A. A. Pervozvanskii |
| title_fullStr | Random processes in nonlinear control systems A. A. Pervozvanskii |
| title_full_unstemmed | Random processes in nonlinear control systems A. A. Pervozvanskii |
| title_short | Random processes in nonlinear control systems |
| title_sort | random processes in nonlinear control systems |
| topic | Stochastische Kontrolltheorie (DE-588)4263657-7 gnd Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Regelungstheorie (DE-588)4122327-5 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Stochastische Kontrolltheorie Nichtlineare Kontrolltheorie Regelungstheorie Stochastischer Prozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001340039&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001196 |
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