Linear system theory:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Springer
2012
|
| Edition: | [softcover repr. of the original 1st ed. 1991] |
| Series: | Springer texts in electrical enineering
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 509 S. graph. Darst. |
| ISBN: | 146126961X 9781461269618 |
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MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV042323901 | ||
| 003 | DE-604 | ||
| 005 | 20150219 | ||
| 007 | t | ||
| 008 | 150203s2012 d||| |||| 00||| engod | ||
| 020 | |a 146126961X |9 1-4612-6961-X | ||
| 020 | |a 9781461269618 |9 978-1-4612-6961-8 | ||
| 035 | |a (OCoLC)903694026 | ||
| 035 | |a (DE-599)BVBBV042323901 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-739 | ||
| 050 | 0 | |a QA402.3 | |
| 082 | 0 | |a 629.8/312 |2 20 | |
| 084 | |a SK 960 |0 (DE-625)143275: |2 rvk | ||
| 084 | |a MSR 580f |2 stub | ||
| 084 | |a MSR 610f |2 stub | ||
| 100 | 1 | |a Callier, Frank M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Linear system theory |c Frank M. Callier ; Charles A. Desoer |
| 250 | |a [softcover repr. of the original 1st ed. 1991] | ||
| 264 | 1 | |a New York u.a. |b Springer |c 2012 | |
| 300 | |a XIV, 509 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer texts in electrical enineering | |
| 650 | 7 | |a Analise de sistemas |2 larpcal | |
| 650 | 7 | |a Commande, Théorie de la |2 ram | |
| 650 | 7 | |a Systèmes linéaires |2 ram | |
| 650 | 7 | |a Systèmes, analyse des |2 ram | |
| 650 | 7 | |a Teoria de controle |2 larpcal | |
| 650 | 7 | |a controlabilite |2 inriac | |
| 650 | 7 | |a stabilite systeme |2 inriac | |
| 650 | 7 | |a systeme discret |2 inriac | |
| 650 | 7 | |a systeme lineaire |2 inriac | |
| 650 | 7 | |a systeme temporellement invariant |2 inriac | |
| 650 | 7 | |a variation continue |2 inriac | |
| 650 | 7 | |a variation discontinue |2 inriac | |
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a System analysis | |
| 650 | 0 | 7 | |a Systemtheorie |0 (DE-588)4058812-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Regelungstheorie |0 (DE-588)4122327-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineares System |0 (DE-588)4125617-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lineares System |0 (DE-588)4125617-7 |D s |
| 689 | 0 | 1 | |a Systemtheorie |0 (DE-588)4058812-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Systemtheorie |0 (DE-588)4058812-9 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Regelungstheorie |0 (DE-588)4122327-5 |D s |
| 689 | 2 | |5 DE-604 | |
| 700 | 1 | |a Desoer, Charles A. |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Passau - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027760772&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027760772 | ||
Record in the Search Index
| _version_ | 1804152924301950976 |
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| adam_text | CONTENTS
PREFACE
............................................................................................................................
v
NOTE TO THE READER
.........................................................................................,......... viii
CHAPTER
1
INTRODUCTION
,.,,....,....,..,.....,..,...,.,..,..........,......,....,.....„........„.„......... 1
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1.2
Physical Systems, Models, and Representations
...............t........................................
2
1.3
Robustness
,.......,„„«.,..„,......
„«„„....„и..«..·......,....,.,....,,,,...,,.....,,,...,,,,.....,,...,.,..,,........,,
3
CHAPTERS THE SYSTEM
RBPRHSENTATÍÜM
Ä
(·) :
-ЧАО.ПОШО.ВД)
.............
íí
2.1
Fundamental
Properties
oí
/?(■) ...........-..«.«................................«·....«......«...·..««...... . ·>
2.1.1
Definitions
,.„.„......
.„««.и».
.........«.■«.....»........»...«.....,«„.....,..«„«.,..„....»«...»..
ti
/_
g j j
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oc dû
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ł1.1
í
ΰ
PU
ο
:>i
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.
^
2.1.3
State Transition Matrix
................................................................................. 10
2.1.4
State Transition Map and Response Map
....................«.„«..........,..................... 17
2.1.5
Impulse Response Matrix
......................................................................*............ 22
2.1.6
Adjoint Equations
...........................................................,.................................. 25
2.1.7
Linear-Quadratic Optimization
.,.......................................................................... 29
2.2
Applications
.................................................................................................................. 40
2.2.1
Variational Equation
........................................................................................... 40
2.2.2
Control Correction
Exampie
.............................................................................. 44
2.2.3
Optimization Example
........................................................................................ 48
2.2.4
Periodically Varying Differential Equations
.........
.......„..„......»„.......„„....„.μ....
51
CHAPTER 2d THE
DISCRETS·
TIMR SYSTEM RKPRESKHTA nON
ъ .
Fundamental
Properties of
RA(·)
«...„„«.„„„„„...„.„.«.....„.„..„..,„,„.«.„.„«..„„„„.„.,
j8
2d.2 Application: Periodically
Уаі
-yhiß
Reciusion Equations
........................................ 66
CHAPTER
3
THE SYSTEM
RBPRRSEWTATÏOM
R
·■■■■
[А.Й.С.ПЇ,
Vmì ì
„..„..„..„......„ 68
3-І
Preliminaries
.........
,
.......„.,., .
йЛ0 4 бо
•V
2
Genera] Properties of
Ä
-
[A,B,CfD]
„,„..,....„„....,...,.,.,..,„.,«.„„,„„.„...„„...,„.„»...„ 70
3.2.1
Definition
..........
,
........... „.„
,
. 70
3.2.2
State Transition Matrix
,.„,„„....„„„...„.„......„......„..„,...„,„..„,„.„„„„.„.„.„.,... 70
3.2.3
The State Transition and Response Map of
R
.................................................. 76
3.3
Properties of
R
when A has a Basis of Eigenvectors
................................................... 79
CHAPTER
3d
THE DISCRETE-TIME SYSTEM REPRESENTATION
Rd
=
ÍA.B.CD]
.................................................................................................................... 95
3d.l Preliminaries
......................,......„................................................................................ 95
3d.2 General Properties of Rd
............................................................................................ 95
3d.3 Properties of
Rđ
when A has a Basis of Eigenvectors
............................................... 100
CHAPTER
4
THE SYSTEM REPRESENTATION
R
=
[Α,Β.Ο,Ρ],
part
II
.................... 103
4.1
Preliminaries
,..,.......,«...♦„.,.,.........................................................................................
,
103
4.2
Minimal Polynomial
.„.............«..........................,....„...„,..,........................................... 107
4.3
Decomposition Theorem
.............,......„„„.,.........................................................*......... 110
4.4
The Decomposition of a Linear Map
.............................
.....,,...—....
............................... 117
4.5
Jordan Form
...................................................................>.,..«..„...„.„„„..„......„..„......« 112
4.6
Function of a Matrix
................................................................................................... 127
4.7
Spectral Mapping Theorem
........,...,..........
a
..................„„....,.,.................„„............. 133
4.8
The Linear Map X
-->
AX+XB
................................................................................... 138
CHAPTER
5
GENERAL SYSTEM CONCEPTS
.............................................................. 140
5.1
Dynamical Systems
...................................................................................................... 140
5.2
Time-Invariant Dynamical Systems
.............................................................................. 150
5.3
Linear Dynamical Systems
........................................................................................... 151
5.4
Equivalence
.................................................................................................................. 152
CHAPTER
6
SAMPLED DATA SYSTEMS
.................................................................... 160
6.1
Relation Between L- and z-Transforms
........................................................................ 160
6.2 D/A
Converter
.............................................................................................................. 166
6.3
A/D Converter
.............................................................................................................. 167
6.4
Sampled-Data System
................................................................................................. 168
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CHAPTER
7
STABÏLrJTY
„.......„.....„.„.....„„....„....,............„.........„..„«.«.....».««„„„„.
І
73
7.2
vState
Related Stability
Concepii;
and Applications
....»·«....„.......«....„.....<««»,..........««,.
J
80
7.2.
1 Stability of
χ
»
A(t)x
,,.,.,...,.,.....,.......
..„„„...„.„.«„„„..u.»,,...,..,....,.,,.,,,.....,,,.. 1
80
7.2.2
Bounded Trajectories and Regulation
...............ν....................
............................
190
7.2.3
Response to T-Periodic Inputs
......,...,.,.........,„„..,..*........«„...„„„,„...,.......,....„, 193
Xl
7.2.4
Periodically Varying System with Periodic Input
.................................,............ 196
7.2.5
Slightly Nonlinear Systems
................................................................................ 197
CHAPTER 7d STABILITY: THE DISCRETE-TIME CASE
............................................ 204
7d.
1
I/O Stability
................................................................................................................ 204
7d.2 State Related Stability Concepts
................................................................................. 211
7d.il Stability of xflc+1)
«
AOOxflc)
......................................................................... 211
7d.2.2 Bounded Trajectories and Regulation
.............................................................. 217
7d.2.3 Response to q-Periodic Inputs
.................................................«....................... 220
CHAPTER
8
CONTROLLABILITY ANT) OBSERVABILITY
„.......·....„.„.....„..„......... 222
8.1
Controllability and Observability of Dynamical Systems
,.„..,.,...,„„.....,..„.„„„,.„„.,.„ 222
8.2
Controllability of the Pair
(Α(·),Β(·)) .«..«.«μ«........».«»».»««*....«««»..«»·..«...«..««.
226
8.2.1
Controllability of the Pair
8.2.2
The Cost of Control
„„„„
8.2.3
Stabilization by
Lineai*
rítate
Feedback
,...,...,.,...„„.„.„„.„„»,„„..„.„.„,„.,„.,.,«= 231
8.3
Observability of the Pair (CO.AO)
....«......«..·«..».......«.»««.«..«....«.«...»..,....«.„«„.,...„.. 233
8.4
Duality
................,.,„.„„.„..„,..„,..„....,..„.....,......,.«,.,..„„„,„.„„.„„,„«„„.„„„„„...=..==... 735
8.5
Linear Time-Invariant Systems
..................................................................................... 239
8.5.1
Observability Properties of the Pair (C,A)
........................................................ 240
8.5.2
Controllability of the Pair (A,B)
........................................................................ 243
8.6
Kalman
Decomposition Theorem
................................................................................. 247
8.7
Hidden Modes, Stabilizability, and Detectability
......................................................... 252
8.8
Balanced Representations
............................................................................................. 260
8.9
Robustness of Controllability
....................................................................................... 262
CHAPTER 8d CONTROLLABILITY AND OBSERVABILITY: THE DISCRETE-
TIME CASE
....................................................................................................................... 265
8d.l Controllability and Observability of Dynamical Systems
,..„..,...„«..„...„....„.....„.„... 263
Hd.2 Reachability and Controllability of the Pair
(Л(-),ЭД)
.......................................... )№
Ы.7Л
Controllability of tile Pair
(АО.ВД)
............,,..,.,.....«,.«......,.....™...,....
26
lïd.2.2
The Cost of Control
....«„.„.„„«....«....«...«.«..«..«..«..«».«.««.....„..».......„.«.. 270
Sci.
S
Observability of the Pair
(Ο(·)Λ(·))
.................................................................... 271
Set.
4
Duality
..,........,............«„.„...„.„...„„...„„.„....„..„,.„...,..„..„..,.....,........,.„«.., .„„......
A /li
Hd.5 Linear Time-Invariant Systems
.«.«„..„..„.„„«.„„..„„„„.....„,„„,....„.......„„.„.....„..„. 279
8d.5.1 Observability of Uie Pair (C,A)
.....„„„.„.......„«...„..„....„..„..........„„.„.....„... 381
8d.5.2 Reachability and Controllability of the
Ршг(А.Н)
^..„..„,,.,™..,.............,..,,..
283
>
xii
8d.6 Kalman
Decomposition Theorem
................,.............................................................. 292
8d.7 Stabilizability and Detectability
.................................................................................. 292
CHAPTER
9
REALIZATION THEORY
........................................................................... 295
9.1
Minimal Realizations
.................................................................................................... 295
9.2
Controllable Canonical Form
........................................................................................ 306
CHAPTER
10
LINEAR STATE FEEDBACK AND ESTIMATION
............................... 315
10.1
Linear State Feedback
................................................................................................ 315
10.2
Linear Output Injection and State Estimation
............................................................. 323
10.3
State Feedback of the Estimated State
.,...,.,♦„.......,.................................................... 328
10.4
Infinite Hoiizon Linear Quadratic Optimization
......................*................................. 330
10d,4 Infinite Horizon Linear Quadratic Optimization. The Discrete Time Case
.............. 346
CHAPTER
11
UNITY FEEDBACK SYSTEMS
......................................................... 356
11.1
The Feedback System £c
„,.....„.,....„..„.,„„«....................................................... 357
11.1.1
State Space Analysis
........................................................................................ 357
11.1.2
Special Case:
/łj
and
R
2 have no Unstable Hidden Modes
......................>..... 364
11.1.3
The Discrete-Time Case
..........,..,...,„„.,...„.„,„,.................,„„.,......,.«.„........, 367
11.2
Nyquist Criterion
........................................................................................................ 368
11.2.1
The Nyquist Criterion
....................,................................................................. 368
11.2.2
Remarks on the Nyquist Criterion
................................................................... 370
11.2.3
Proof of Nyquist Criterion
...........................................,................................... 372
11.2.4
The Discrete-Time Case
.................................................................................. 374
11.3
Robustness
.................................................................................................................. 374
11.3.1
Robustness With Respect to Plant Perturbations
............................................. 375
11.3.2
Robustness With Respect to Exogenous Disturbances
.................................... 376
11.3.3
Robust Regulation
............................................................................................ 377
11.3.4
Bandwidth-Robustness Tradeoff
...................................................................... 379
11.3.5
The Discrete-Time Case
................................................................................. 383
11.4
Kharitonov s Theorem
..................................
.........................................t....................
383
1
Í.4.1
Hui witz Polynomials
.................................
.........c.........................
.................... 384
11.4.2
Khantonov s Theorem
,„.,,...,.,.,.„,..,..............»,....,,,.,.„...,.......,...*..,.,,,.....„....... 384
11.3
Robust Stability Under Structured Perturbations
....................Μ....»...,.......,....,..........*
388
і
1.5.1
General
Robustness Theorem
«..».,..,..,.,..„.,„«.............»........,.»....««.„.,..,...,..,. 389
11.5.2
Special Case:
Affine
Maps and Convexity
..................
..„.„„..„„.M,,...,...,,..,,,...
391
11.5.3
The Discrete Time Case
.....,..,...„........,.......,.....,...,.....,....»,.....,«„......,..,.,....,. 392
xiii
11.6
Stability Under Arbitrary Additive Plant Perturbations
..........,................................... 393
Π
.7
Transmission Zeros
.................................................................................................... 396
11.7.1
Single-Input Single-Output Case
..................................................................... 396
11.7.2
Multi-Input Multi-Output Case: Assumptions and Definitions
........................ 397
11.7.3
Characterization of the Zeros
........................................................................... 399
11.7.4
Application to Unity Feedback Systems
.......................................................... 401
APPENDIX A LINEAR MAPS AND
MATRÏX
ANALYSIS
.......................................... 403
A.
1
Preliminary Notions
..................................................................................................... 403
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A4.
Linear
Maps
.................................„....,.,..„....„.,„„„„....,..,......„.,..,......,>......—.„...,.
4í!i
AS. Matrix Representation
............................................................................................... 419
А.З.Ї
The Concept of Matiix. Representation „.„„o.«.«»«..,.«..».........,....»..«..,........«..
419
A.5.?. Matrix. Representation and Change of Basis
„„.....„.„„..«..««о..«.....»»..»....»...
423
A.5.3 Range
яші
NuJ.1 Space:
Raiüí
and Nullity »«•„»«...•oc««»..««.».-«»««»...«.»·..!·»..»
426
A.5.4 Echelon 1 orms of a Matiix
,.„,«.»«,„„..„„„.........».«..»....»...».............:..«........ 429
A.6.1
Norms
„................,..,„...,.,.„....,.„,...,„.,„,„..........„.„..„.,...,.....„,.,.„...„....,.,„,..„ 434
A.6.2
Convergence
..................................................................................................... 437
A.6.3
Equivalent Norms
.........................................................„.......„.,......................... 438
A.6.4 The Lebesgue
Spaces
/p and Lp [Tay.lJ
............................................................ 440
A.6.5
Continuous
Linear
Transformations
...............................................♦.................. 441
A.7
The Adjoint of a Linear Map
....................................................................................... 447
A.7.1 Inner Products
................................................................................................... 448
AJ2
Adjoints
of Continuous Linear Maps
................................................................. 452
A.7.3 Properties of the Adjoint
.....................................................................,.,..„.„.,... 456
A.7,4 The Finite Rank Operator Fundamental Lemma
................................................ 457
A.7,5 Singular Value Decomposition
(SVD) ..........................................c....«,...»»..
439
APPENDIX
В
DWERENTÏAL
EQUAIIOWÍJ
„,.„„.„„..„..,„...„.,,„.«....,„...,.„..„„»„„ 469
Β,Ι
Existence
and Uniqueness of Solutions ....................................................o.........
469
B.I
.1
Assumptions
^.„„..„..„,«,.......«...................................».-.»....»«»«.......»»«,.«,.«,,.
469
В.
1.2
Fundamenüil
ТЬеошт „„.„«^„„„„„„..„«.„„„„„„^..„„^.„.„„„^^
......
;
.....
Mllî.iifo
470
13.1.3
Consti
notion of a Solution by iteration
..„.».м....,»..,.«.....,.....,.,.....«.«.....«».»..
471
11.
1.4
The
BeUinan-Oronwall
inequality .»„...„„„«o«^,.,.»,.,,«.,,,,.»,«,,.^.»,,,,»«^
475
B.I.
5
Uniqueness
......„..„„.„..„......„...............„....„„.„..„...«.„......„„...„„.„......„.„.„. 476
B.2 initial Conditions and Parameter Perturbations
и...........м.....„.».......п....«м.„.....„........
477
XIV
В.З
Geometric
Interpretation
and Numerical Calculations
.....,........................................... 480
APPENDIX
С
LAPLACE TRANSFORMS
...................................................................... 482
C.I Definition of the Laplace Transform
.....................................,...................................... 482
C.2 Properties of Laplace Transforms
................................................................................ 484
APPENDIX
D
THE z-TRANSFORM
.............................................................................. 488
D.I Definition of the z-Transform
................,..................................................................... 488
D.2 Properties of the z-Transform
.................................................,.................................... 489
REFERENCES
................................................,.„..„..........„.........„„...„,.............................. 492
ABBREVIATIONS
.............................................................................................................. 498
MATHEMATICAL
S
YMBOLS
......,.„.„„.....„.„.„..„.„.„„.........„„.„„....„..„.„.........„........ 499
SUBJECT INDEX
............................................................................................................ 504
|
| any_adam_object | 1 |
| author | Callier, Frank M. Desoer, Charles A. |
| author_facet | Callier, Frank M. Desoer, Charles A. |
| author_role | aut aut |
| author_sort | Callier, Frank M. |
| author_variant | f m c fm fmc c a d ca cad |
| building | Verbundindex |
| bvnumber | BV042323901 |
| callnumber-first | Q - Science |
| callnumber-label | QA402 |
| callnumber-raw | QA402.3 |
| callnumber-search | QA402.3 |
| callnumber-sort | QA 3402.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 960 |
| classification_tum | MSR 580f MSR 610f |
| ctrlnum | (OCoLC)903694026 (DE-599)BVBBV042323901 |
| dewey-full | 629.8/312 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8/312 |
| dewey-search | 629.8/312 |
| dewey-sort | 3629.8 3312 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | [softcover repr. of the original 1st ed. 1991] |
| format | Book |
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| id | DE-604.BV042323901 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:18:26Z |
| institution | BVB |
| isbn | 146126961X 9781461269618 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027760772 |
| oclc_num | 903694026 |
| open_access_boolean | |
| owner | DE-739 |
| owner_facet | DE-739 |
| physical | XIV, 509 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer texts in electrical enineering |
| spelling | Callier, Frank M. Verfasser aut Linear system theory Frank M. Callier ; Charles A. Desoer [softcover repr. of the original 1st ed. 1991] New York u.a. Springer 2012 XIV, 509 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer texts in electrical enineering Analise de sistemas larpcal Commande, Théorie de la ram Systèmes linéaires ram Systèmes, analyse des ram Teoria de controle larpcal controlabilite inriac stabilite systeme inriac systeme discret inriac systeme lineaire inriac systeme temporellement invariant inriac variation continue inriac variation discontinue inriac Control theory System analysis Systemtheorie (DE-588)4058812-9 gnd rswk-swf Regelungstheorie (DE-588)4122327-5 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Lineares System (DE-588)4125617-7 s Systemtheorie (DE-588)4058812-9 s DE-604 Regelungstheorie (DE-588)4122327-5 s Desoer, Charles A. Verfasser aut 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=027760772&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Callier, Frank M. Desoer, Charles A. Linear system theory Analise de sistemas larpcal Commande, Théorie de la ram Systèmes linéaires ram Systèmes, analyse des ram Teoria de controle larpcal controlabilite inriac stabilite systeme inriac systeme discret inriac systeme lineaire inriac systeme temporellement invariant inriac variation continue inriac variation discontinue inriac Control theory System analysis Systemtheorie (DE-588)4058812-9 gnd Regelungstheorie (DE-588)4122327-5 gnd Lineares System (DE-588)4125617-7 gnd |
| subject_GND | (DE-588)4058812-9 (DE-588)4122327-5 (DE-588)4125617-7 |
| title | Linear system theory |
| title_auth | Linear system theory |
| title_exact_search | Linear system theory |
| title_full | Linear system theory Frank M. Callier ; Charles A. Desoer |
| title_fullStr | Linear system theory Frank M. Callier ; Charles A. Desoer |
| title_full_unstemmed | Linear system theory Frank M. Callier ; Charles A. Desoer |
| title_short | Linear system theory |
| title_sort | linear system theory |
| topic | Analise de sistemas larpcal Commande, Théorie de la ram Systèmes linéaires ram Systèmes, analyse des ram Teoria de controle larpcal controlabilite inriac stabilite systeme inriac systeme discret inriac systeme lineaire inriac systeme temporellement invariant inriac variation continue inriac variation discontinue inriac Control theory System analysis Systemtheorie (DE-588)4058812-9 gnd Regelungstheorie (DE-588)4122327-5 gnd Lineares System (DE-588)4125617-7 gnd |
| topic_facet | Analise de sistemas Commande, Théorie de la Systèmes linéaires Systèmes, analyse des Teoria de controle controlabilite stabilite systeme systeme discret systeme lineaire systeme temporellement invariant variation continue variation discontinue Control theory System analysis Systemtheorie Regelungstheorie Lineares System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027760772&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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