Linear systems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston ; Basel ; Berlin
Birkhäuser
2006
|
| Edition: | 2., corr. print. |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XVIII, 670 S. graph. Darst. 24 cm |
| ISBN: | 9780817644345 0817644342 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV022868793 | ||
| 003 | DE-604 | ||
| 005 | 20140611 | ||
| 007 | t | ||
| 008 | 071008s2006 d||| |||| 00||| eng d | ||
| 015 | |a 06,A03,1220 |2 dnb | ||
| 016 | 7 | |a 976672065 |2 DE-101 | |
| 020 | |a 9780817644345 |9 978-0-8176-4434-5 | ||
| 020 | |a 0817644342 |9 0-8176-4434-2 | ||
| 035 | |a (OCoLC)61454152 | ||
| 035 | |a (DE-599)DNB976672065 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-706 |a DE-384 |a DE-91G |a DE-91 |a DE-11 | ||
| 050 | 0 | |a TJ220 | |
| 082 | 0 | |a 629.8/32 |2 22 | |
| 084 | |a SK 880 |0 (DE-625)143266: |2 rvk | ||
| 084 | |a ZQ 5220 |0 (DE-625)158118: |2 rvk | ||
| 084 | |a MSR 608f |2 stub | ||
| 084 | |a ELT 517f |2 stub | ||
| 084 | |a 510 |2 sdnb | ||
| 084 | |a 620 |2 sdnb | ||
| 100 | 1 | |a Antsaklis, Panos J. |e Verfasser |0 (DE-588)113796099 |4 aut | |
| 245 | 1 | 0 | |a Linear systems |c Panos J. Antsaklis ; Anthony N. Michel |
| 250 | |a 2., corr. print. | ||
| 264 | 1 | |a Boston ; Basel ; Berlin |b Birkhäuser |c 2006 | |
| 300 | |a XVIII, 670 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Linear control systems | |
| 650 | 4 | |a Signal processing | |
| 650 | 0 | 7 | |a Digitale Signalverarbeitung |0 (DE-588)4113314-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineares System |0 (DE-588)4125617-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineare Kontrolltheorie |0 (DE-588)4123657-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lineares System |0 (DE-588)4125617-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Lineare Kontrolltheorie |0 (DE-588)4123657-9 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 689 | 2 | 0 | |a Digitale Signalverarbeitung |0 (DE-588)4113314-6 |D s |
| 689 | 2 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Michel, Anthony N. |d 1935- |e Verfasser |0 (DE-588)11087076X |4 aut | |
| 856 | 4 | 2 | |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=2687859&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m Digitalisierung UB Augsburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016073933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-016073933 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804137126573375488 |
|---|---|
| adam_text | CONTENTS
Preface
XV
1
Mathematical Descriptions of Systems l
1.1
Introduction
2
A. Physical Processes, Models, and Mathematical
Descriptions. 2/B. Classification of Systems,
3/
С
Finite-Dimensional Systems, 4/D. Chapter Description,
6/
E. Guidelines for the Reader,
7
1.2
Preliminaries
8
A. Notation, 8/B. Continuous Functions,
9
1.3
Initial-Value Problems
10
A. Systems of First-Order Ordinary Differential
Equations, JO/B. Classification of Systems of First-Order
Ordinary Differential Equations,
Π
/
С.
nth-Order Ordinary
Differential Equations,
12
1.4
Examples of Initial-Value Problems
13
*1.5 More Mathematical Preliminaries
17
A. Sequences,
17
/B. Sequences of Functions,
18
/C. The
Weierstrass M-Test,
21
*1.6
Existence of Solutions of Initial-Value Problems
21
A. The
Ascoli-Anela
Lemma,
22
/В.
е
-Approximate
Solutions,
23
1C. The Cauchy-Peano Existence Theorem,
25
*1.7 Continuation
oí
Solutions
26
A.
Zorn
s
Lemma,
26 /
В.
Continuable Solutions,
27 /
С
Continuation of Solutions to the Boundary ofD,
28
*1.8 Uniqueness of Solutions
29
A. The Gronwail Inequality,
29
/B. Unique Solutions,
30
*1.9 Continuous Dependence of Solutions on Initial
Conditions and Parameters
33
1.10
Systems of First-Order Ordinary Differential Equations
37
A. More Mathematical Preliminaries; Vector Spaces,
37 /
B. Further Mathematical Preliminaries: Normed Linear
Spaces,
41 /
C. Additional Mathematical Preliminaries:
Convergence,
44
/D. Solutions of Systems of First-Order
Ordinary Differential Equations: Existence, Continuation,
Uniqueness, and Continuous Dependence on Initial
Conditions,
45
1.11
Systems
of Linear First-Order Ordinary Differential
Equations
47
A. Linearization,
48/
B. Examples,
52
1.12
Linear Systems: Existence, Uniqueness,
Continuation, and Continuity with Respect to Parameters
of Solutions
54
1.13
Solutions of Linear Stale Equations
55
1.14
State-Space Description of Continuous-Time
Systems
58
1.15
State-Space Description of Discrete-Time Systems
60
1.16
Input-Output Description of Systems
65
A. External Description of Systems: General
Considerations,
65
IB. Linear Discrete-Time Systems,
68/
С
The Dirac Delta Distribution,
72/
D. Linear
Continuous-Time Systems,
76
1.17
Summary
79
1.18
Notes
80
1.19
References
80
1.20
Exercises
81
Response of Linear Systems
94
2.1
Introduction
94
A. Chapter Description,
94
/B. Guidelines for the Reader,
96
2.2
Background Material
96
A. Linear Subspaces,
97
/B. Linear Independence,
97/
С
Bases,
99
/D. Linear Transformations,
100/
E. Representation of Linear Transformations by
Matrices,
J
04 /
*F. Some Properties of Matrices,
/07/
*G. Determinants of Matrices,
11
1
/
H. Solving Linear
Algebraic Equations,
115/1.
Equivalence and
Similarity,
116/
J. Eigenvalues and Eigenvectors,
121 /
K. Direct Sums of Linear Subspaces,
126 /
L. Some
Canonical Forms of Matrices,
127 /
M. Minimal
Polynomials,
132
/N.
Nilpotent
Operators,
134/0.
The
Jordan Canonical Form,
135
23
Linear Homogeneous and Nonhomogcneous Equations
138
A. The Fundamental Matrix,
139
/B. The State Transition
Matrix, J43/C. Nonhomogeneous Equalkms,
145
/IX How
to Determine
Ф(г,
ίο).
146
2.4
Linear Systems with Constant Coefficients
148
A. Some Properties
ofer ,
148/
В.
How to Determine
eAl
, 150/
С
Modes and Asymptotic Behavior of
Time-invariant Systems,
156
*2.5 Linear Periodic Systems
161
2.6
State
Equation and Input-Output Description of
Continuous-Time Systems
165
A. Response of Linear Continuous-Time Systems,
165 /
B. Transfer Functions,
J
68/
С
Equivalence of Internal
Representations, 1
70
2.7
State Equation and Input-Output Description of
Discrete-Time Systems
174
A. Response of Linear Discrete-Time Systems,
174/
B. The
Transfer Function and the z-Transform,
177
/C. Equivalence
of Internal Representations,
¡80/1).
Sampled-Data
Systems,
182 /
E, Modes and Asymptotic Behavior of
Time-Invariant Systems,
186
2.8
An Important Comment on Notation
190
2.9
Summary
191
2.10
Notes
191
2.11
References
192
2.12
Exercises
193
3
Controllability, Observability, and Special Forms
214
3.1
Introduction
215
A. Brief Introduction to Reachability and Observability,
215 /
B. Chapter Description,
223 /
C. Guidelines for the
Reader,
225
PARTI Controllability and Observability
226
3.2
Reachability and Controllability
226
A. Continuous-Time Time-Varying Systems,
227/
B. Continuous-Time Time-Invariant Systems,
235 /
C. Discrete-Time Systems,
241
3.3
Observability and Constructibility
247
A. Continuous-Time Time-Varying Systems,
248/
B. Continuous-Time Time-Invariant Systems,
252 /
C. Discrete-Time Systems,
257
PART
2
Special Forms for Time-Invariant Systems
263
3.4
Special Forms
263
A. Standard Forms for Uncontrollable and Vnobservable
Systems,
263 /
B. Eigenvalue/Eigenvector Tests for
Controllability and Observability,
272
/C. Relating
State-Space and Input-Output Descriptions,
275 /
IX Controller and Observer Forms,
278
*3.5 Poles and Zeros
298
3.6
Summary
308
3.7
Notes
310
3.8
References
311
3.9
Exercises
311
4
State Feedback and State Observers
321
4.1
Introduction
322
A. A Brief Introduction to State-Feedback Controllers and
State Observers,
322
/B. Chapter Description,
325/
С
Guidelines for the Reader,
326
4.2
Linear State Feedback
326
A. Continuous-Time Systems,
326
/B. Eigenvalue
Assignment,
328/
С
The Linear Quadratic Regulator (LQR):
Continuous-Time Case,
342 /
1). Input-Output
Relations,
345
/E. Discrete-Time Systems,
348 /
F. The
Linear Quadratic Regulator (LQR): Discrete-Time Case,
348
4.3
Linear State Observers
350
A. Full-Order Observers: Continuous-Time Systems,
350/
B. Reduced-Order Observers: Continuous-Time
Systems,
355
/C. Optimal State Estimation:
Continuous-Time Systems,
357
/D. Full-Order Observers:
Discrete-Time Systems,
358/
E. Reduced-Order Observers:
Discrete-Time Systems,
362/
F. Optimal State Estimation:
Discrete-Time Systems,
362
4.4
Observer-Based Dynamic Controllers
363
A. State-Space Analysis,
364
/B. Transfer Function
Analysis,
367
370
370
371
372
5
Realization Theory and Algorithms
383
5.1
Introduction
384
A. Chapter Description,
384 /
B. Guidelines for the
Reader,
384
5.2
State-Space Realizations of External Descriptions
385
A. Continuous-Time Systems,
385 /
B. Discrete-Time
Systems,
388
5.3
Existence and Minimality of Realizations
389
A. Existence of Realizations,
390
/B. Minimality of
Realizations,
394 /
С
The Order of Minimal
Realizations,
397
/D. Minimality of Realizations:
Discrete-Time Systems,
401
4.5
Summary
4.6
Notes
4.7
References
4.8
Exercises
5.4
Realization Algorithms
402
Л.
Realizations Using Duality,
402/
B. Realizations in
Controller/Observer Form,
404/
С
Realizations with Matrix
A Diagonal,
417/
D. Realizations with Matrix A in Block
Companion Form,
418
/E. Realizations Using Singular Value
Decomposition,
423
5.5
Summary
424
5.6
Notes
424
5.7
References
425
5.8
Exercises
425
Stability
432
6.1
Introduction
432
A. Chapter Description,
433
/B. Guidelines for the
Reader,
434
6.2
Mathematical Background Material
434
A. Bilinear Functional and Congruence,
435 /
B. Euclidean
Vector Spaces,
437
/C. Linear Transformations on Euclidean
Vector Spaces,
441
PART
1
Lyapunov Stability
445
6.3
The Concept of an Equilibrium
445
6.4
Qualitative Characterizations of an Equilibrium
447
6.5
Lyapunov Stability of Linear Systems
452
6.6
Some Geometric and Algebraic Stability Criteria
461
A. Some Graphical Criteria,
462 /
B. Some Algebraic
Criteria,
465
6.7
The Matrix Lyapunov Equation
468
6.8
Linearization
477
PART
2
Input-Output Stability of Continuous-Time
Systems
481
6.9
Input-Output Stability
481
PART3 Stability of Discrete-Time Systems
489
6.10
Discrete-Time Systems
489
A. Preliminaries,
489/
B. Lyapunov Stability of an
Equilibrium,
492 /
C. Linear Systems,
495 /
D. The
Schur-Cohn Criterion,
498/
E. The Matrix Lyapunov
Equation,
499/
F. Linearization,
503 /
G. input-Output
Stability,
505
6.11
Summary
508
6.12
Notes
509
6.13
References
510
6.14
Exercises
511
7
Polynomial Matrix Descriptions and Matrix
Fractional Descriptions of Systems
5
1
7
7.1
Introduction
518
A, A Brief Introduction to Polynomial and Fractional
Descriptions,
518
/B. Chapter Description,
522/
С
Guidelines for ¡he Reader,
523
PARTI Analysis of Systems
524
7.2
Background Material on Polynomial
Malrices 524
A. Rank and Linear independence,
524
/B. Unimodular and
Column (How) Reduced Matrices,
526 /
C. Hermite and
Smith Forms,
531
/D. Coprimeness and Common
Divisors,
535 /
E. The Diophantine Equation,
540
7.3
Systems Represented by Polynomial Matrix Descriptions
553
A. Equivalence of Representations,
554
/B. Controllability,
Observability, Stability, and Realizations,
560/
C. Interconnected Systems,
568
PART
2
Synthesis of Control Systems
589
7.4
Feedback Control Systems
589
A. Stabilizing Feedback Controllers,
589/
B. State Feedback
Control and State Estimation,
605 /
С
Stabilizing Feedback
Controllers Using Proper and Stable MFDs,
611
/D. Two
Degrees of Freedom Feedback Controllers,
622
7.5
Summary
634
7.6
Notes
635
7.7
References
636
7.8
Exercises
638
Appendix Numerical Considerations
645
A.I Introduction
645
A.2 Solving Linear Algebraic Equations
646
A.3 Singular Values and Singular Value Decomposition
648
A.4 Solving Polynomial and Rational Matrix Equations
Using Interpolation Methods
653
A.5 References
659
Index
661
|
| adam_txt |
CONTENTS
Preface
XV
1
Mathematical Descriptions of Systems l
1.1
Introduction
2
A. Physical Processes, Models, and Mathematical
Descriptions. 2/B. Classification of Systems,
3/
С
Finite-Dimensional Systems, 4/D. Chapter Description,
6/
E. Guidelines for the Reader,
7
1.2
Preliminaries
8
A. Notation, 8/B. Continuous Functions,
9
1.3
Initial-Value Problems
10
A. Systems of First-Order Ordinary Differential
Equations, JO/B. Classification of Systems of First-Order
Ordinary Differential Equations,
Π
/
С.
nth-Order Ordinary
Differential Equations,
12
1.4
Examples of Initial-Value Problems
13
*1.5 More Mathematical Preliminaries
17
A. Sequences,
17
/B. Sequences of Functions,
18
/C. The
Weierstrass M-Test,
21
*1.6
Existence of Solutions of Initial-Value Problems
21
A. The
Ascoli-Anela
Lemma,
22
/В.
е
-Approximate
Solutions,
23
1C. The Cauchy-Peano Existence Theorem,
25
*1.7 Continuation
oí
Solutions
26
A.
Zorn
's
Lemma,
26 /
В.
Continuable Solutions,
27 /
С
Continuation of Solutions to the Boundary ofD,
28
*1.8 Uniqueness of Solutions
29
A. The Gronwail Inequality,
29
/B. Unique Solutions,
30
*1.9 Continuous Dependence of Solutions on Initial
Conditions and Parameters
33
1.10
Systems of First-Order Ordinary Differential Equations
37
A. More Mathematical Preliminaries; Vector Spaces,
37 /
B. Further Mathematical Preliminaries: Normed Linear
Spaces,
41 /
C. Additional Mathematical Preliminaries:
Convergence,
44
/D. Solutions of Systems of First-Order
Ordinary Differential Equations: Existence, Continuation,
Uniqueness, and Continuous Dependence on Initial
Conditions,
45
1.11
Systems
of Linear First-Order Ordinary Differential
Equations
47
A. Linearization,
48/
B. Examples,
52
1.12
Linear Systems: Existence, Uniqueness,
Continuation, and Continuity with Respect to Parameters
of Solutions
54
1.13
Solutions of Linear Stale Equations
55
1.14
State-Space Description of Continuous-Time
Systems
58
1.15
State-Space Description of Discrete-Time Systems
60
1.16
Input-Output Description of Systems
65
A. External Description of Systems: General
Considerations,
65
IB. Linear Discrete-Time Systems,
68/
С
The Dirac Delta Distribution,
72/'
D. Linear
Continuous-Time Systems,
76
1.17
Summary
79
1.18
Notes
80
1.19
References
80
1.20
Exercises
81
Response of Linear Systems
94
2.1
Introduction
94
A. Chapter Description,
94
/B. Guidelines for the Reader,
96
2.2
Background Material
96
A. Linear Subspaces,
97
/B. Linear Independence,
97/
С
Bases,
99
/D. Linear Transformations,
100/
E. Representation of Linear Transformations by
Matrices,
J
04 /
*F. Some Properties of Matrices,
/07/
*G. Determinants of Matrices,
11
1
/
H. Solving Linear
Algebraic Equations,
115/1.
Equivalence and
Similarity,
116/
J. Eigenvalues and Eigenvectors,
121 /
K. Direct Sums of Linear Subspaces,
126 /
L. Some
Canonical Forms of Matrices,
127 /
M. Minimal
Polynomials,
132
/N.
Nilpotent
Operators,
134/0.
The
Jordan Canonical Form,
135
23
Linear Homogeneous and Nonhomogcneous Equations
138
A. The Fundamental Matrix,
139
/B. The State Transition
Matrix, J43/C. Nonhomogeneous Equalkms,
145
/IX How
to Determine
Ф(г,
ίο).
146
2.4
Linear Systems with Constant Coefficients
148
A. Some Properties
ofer',
148/
В.
How to Determine
eAl
, 150/
С
Modes and Asymptotic Behavior of
Time-invariant Systems,
156
*2.5 Linear Periodic Systems
161
2.6
State
Equation and Input-Output Description of
Continuous-Time Systems
165
A. Response of Linear Continuous-Time Systems,
165 /
B. Transfer Functions,
J
68/
С
Equivalence of Internal
Representations, 1
70
2.7
State Equation and Input-Output Description of
Discrete-Time Systems
174
A. Response of Linear Discrete-Time Systems,
174/
B. The
Transfer Function and the z-Transform,
177
/C. Equivalence
of Internal Representations,
¡80/1).
Sampled-Data
Systems,
182 /
E, Modes and Asymptotic Behavior of
Time-Invariant Systems,
186
2.8
An Important Comment on Notation
190
2.9
Summary
191
2.10
Notes
191
2.11
References
192
2.12
Exercises
193
3
Controllability, Observability, and Special Forms
214
3.1
Introduction
215
A. Brief Introduction to Reachability and Observability,
215 /
B. Chapter Description,
223 /
C. Guidelines for the
Reader,
225
PARTI Controllability and Observability
226
3.2
Reachability and Controllability
226
A. Continuous-Time Time-Varying Systems,
227/
B. Continuous-Time Time-Invariant Systems,
235 /
C. Discrete-Time Systems,
241
3.3
Observability and Constructibility
247
A. Continuous-Time Time-Varying Systems,
248/
B. Continuous-Time Time-Invariant Systems,
252 /
C. Discrete-Time Systems,
257
PART
2
Special Forms for Time-Invariant Systems
263
3.4
Special Forms
263
A. Standard Forms for Uncontrollable and Vnobservable
Systems,
263 /
B. Eigenvalue/Eigenvector Tests for
Controllability and Observability,
272
/C. Relating
State-Space and Input-Output Descriptions,
275 /
IX Controller and Observer Forms,
278
*3.5 Poles and Zeros
298
3.6
Summary
308
3.7
Notes
310
3.8
References
311
3.9
Exercises
311
4
State Feedback and State Observers
321
4.1
Introduction
322
A. A Brief Introduction to State-Feedback Controllers and
State Observers,
322
/B. Chapter Description,
325/
С
Guidelines for the Reader,
326
4.2
Linear State Feedback
326
A. Continuous-Time Systems,
326
/B. Eigenvalue
Assignment,
328/
С
The Linear Quadratic Regulator (LQR):
Continuous-Time Case,
342 /
1). Input-Output
Relations,
345
/E. Discrete-Time Systems,
348 /
F. The
Linear Quadratic Regulator (LQR): Discrete-Time Case,
348
4.3
Linear State Observers
350
A. Full-Order Observers: Continuous-Time Systems,
350/
B. Reduced-Order Observers: Continuous-Time
Systems,
355
/C. Optimal State Estimation:
Continuous-Time Systems,
357
/D. Full-Order Observers:
Discrete-Time Systems,
358/
E. Reduced-Order Observers:
Discrete-Time Systems,
362/
F. Optimal State Estimation:
Discrete-Time Systems,
362
4.4
Observer-Based Dynamic Controllers
363
A. State-Space Analysis,
364
/B. Transfer Function
Analysis,
367
370
370
371
372
5
Realization Theory and Algorithms
383
5.1
Introduction
384
A. Chapter Description,
384 /
B. Guidelines for the
Reader,
384
5.2
State-Space Realizations of External Descriptions
385
A. Continuous-Time Systems,
385 /
B. Discrete-Time
Systems,
388
5.3
Existence and Minimality of Realizations
389
A. Existence of Realizations,
390
/B. Minimality of
Realizations,
394 /
С
The Order of Minimal
Realizations,
397
/D. Minimality of Realizations:
Discrete-Time Systems,
401
4.5
Summary
4.6
Notes
4.7
References
4.8
Exercises
5.4
Realization Algorithms
402
Л.
Realizations Using Duality,
402/
B. Realizations in
Controller/Observer Form,
404/
С
Realizations with Matrix
A Diagonal,
417/
D. Realizations with Matrix A in Block
Companion Form,
418
/E. Realizations Using Singular Value
Decomposition,
423
5.5
'Summary
424
5.6
Notes
424
5.7
References
425
5.8
Exercises
425
Stability
432
6.1
Introduction
432
A. Chapter Description,
433
/B. Guidelines for the
Reader,
434
6.2
Mathematical Background Material
434
A. Bilinear Functional and Congruence,
435 /
B. Euclidean
Vector Spaces,
437
/C. Linear Transformations on Euclidean
Vector Spaces,
441
PART
1
Lyapunov Stability
445
6.3
The Concept of an Equilibrium
445
6.4
Qualitative Characterizations of an Equilibrium
447
6.5
Lyapunov Stability of Linear Systems
452
6.6
Some Geometric and Algebraic Stability Criteria
461
A. Some Graphical Criteria,
462 /
B. Some Algebraic
Criteria,
465
6.7
The Matrix Lyapunov Equation
468
6.8
Linearization
477
PART
2
Input-Output Stability of Continuous-Time
Systems
481
6.9
Input-Output Stability
481
PART3 Stability of Discrete-Time Systems
489
6.10
Discrete-Time Systems
489
A. Preliminaries,
489/
B. Lyapunov Stability of an
Equilibrium,
492 /
C. Linear Systems,
495 /
D. The
Schur-Cohn Criterion,
498/
E. The Matrix Lyapunov
Equation,
499/
F. Linearization,
503 /
G. input-Output
Stability,
505
6.11
Summary
508
6.12
Notes
509
6.13
References
510
6.14
Exercises
511
7
Polynomial Matrix Descriptions and Matrix
Fractional Descriptions of Systems
5
1
7
7.1
Introduction
518
A, A Brief Introduction to Polynomial and Fractional
Descriptions,
518
/B. Chapter Description,
522/
С
Guidelines for ¡he Reader,
523
PARTI Analysis of Systems
524
7.2
Background Material on Polynomial
Malrices 524
A. Rank and Linear independence,
524
/B. Unimodular and
Column (How) Reduced Matrices,
526 /
C. Hermite and
Smith Forms,
531
/D. Coprimeness and Common
Divisors,
535 /
E. The Diophantine Equation,
540
7.3
Systems Represented by Polynomial Matrix Descriptions
553
A. Equivalence of Representations,
554
/B. Controllability,
Observability, Stability, and Realizations,
560/
C. Interconnected Systems,
568
PART
2
Synthesis of Control Systems
589
7.4
Feedback Control Systems
589
A. Stabilizing Feedback Controllers,
589/
B. State Feedback
Control and State Estimation,
605 /
С
Stabilizing Feedback
Controllers Using Proper and Stable MFDs,
611
/D. Two
Degrees of Freedom Feedback Controllers,
622
7.5
Summary
634
7.6
Notes
635
7.7
References
636
7.8
Exercises
638
Appendix Numerical Considerations
645
A.I Introduction
645
A.2 Solving Linear Algebraic Equations
646
A.3 Singular Values and Singular Value Decomposition
648
A.4 Solving Polynomial and Rational Matrix Equations
Using Interpolation Methods
653
A.5 References
659
Index
661 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Antsaklis, Panos J. Michel, Anthony N. 1935- |
| author_GND | (DE-588)113796099 (DE-588)11087076X |
| author_facet | Antsaklis, Panos J. Michel, Anthony N. 1935- |
| author_role | aut aut |
| author_sort | Antsaklis, Panos J. |
| author_variant | p j a pj pja a n m an anm |
| building | Verbundindex |
| bvnumber | BV022868793 |
| callnumber-first | T - Technology |
| callnumber-label | TJ220 |
| callnumber-raw | TJ220 |
| callnumber-search | TJ220 |
| callnumber-sort | TJ 3220 |
| callnumber-subject | TJ - Mechanical Engineering and Machinery |
| classification_rvk | SK 880 ZQ 5220 |
| classification_tum | MSR 608f ELT 517f |
| ctrlnum | (OCoLC)61454152 (DE-599)DNB976672065 |
| dewey-full | 629.8/32 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8/32 |
| dewey-search | 629.8/32 |
| dewey-sort | 3629.8 232 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Elektrotechnik Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| discipline_str_mv | Maschinenbau / Maschinenwesen Elektrotechnik Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | 2., corr. print. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02391nam a2200601 c 4500</leader><controlfield tag="001">BV022868793</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140611 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">071008s2006 d||| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">06,A03,1220</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">976672065</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780817644345</subfield><subfield code="9">978-0-8176-4434-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0817644342</subfield><subfield code="9">0-8176-4434-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)61454152</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB976672065</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">TJ220</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">629.8/32</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 880</subfield><subfield code="0">(DE-625)143266:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ZQ 5220</subfield><subfield code="0">(DE-625)158118:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MSR 608f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ELT 517f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">620</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Antsaklis, Panos J.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113796099</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Linear systems</subfield><subfield code="c">Panos J. Antsaklis ; Anthony N. Michel</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2., corr. print.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston ; Basel ; Berlin</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 670 S.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">24 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Control theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear control systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Signal processing</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Digitale Signalverarbeitung</subfield><subfield code="0">(DE-588)4113314-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineares System</subfield><subfield code="0">(DE-588)4125617-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineare Kontrolltheorie</subfield><subfield code="0">(DE-588)4123657-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lineares System</subfield><subfield code="0">(DE-588)4125617-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Lineare Kontrolltheorie</subfield><subfield code="0">(DE-588)4123657-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Digitale Signalverarbeitung</subfield><subfield code="0">(DE-588)4113314-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Michel, Anthony N.</subfield><subfield code="d">1935-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)11087076X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=2687859&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Augsburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016073933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-016073933</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV022868793 |
| illustrated | Illustrated |
| index_date | 2024-07-02T18:46:22Z |
| indexdate | 2024-07-09T21:07:20Z |
| institution | BVB |
| isbn | 9780817644345 0817644342 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016073933 |
| oclc_num | 61454152 |
| open_access_boolean | |
| owner | DE-706 DE-384 DE-91G DE-BY-TUM DE-91 DE-BY-TUM DE-11 |
| owner_facet | DE-706 DE-384 DE-91G DE-BY-TUM DE-91 DE-BY-TUM DE-11 |
| physical | XVIII, 670 S. graph. Darst. 24 cm |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Birkhäuser |
| record_format | marc |
| spelling | Antsaklis, Panos J. Verfasser (DE-588)113796099 aut Linear systems Panos J. Antsaklis ; Anthony N. Michel 2., corr. print. Boston ; Basel ; Berlin Birkhäuser 2006 XVIII, 670 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Control theory Linear control systems Signal processing Digitale Signalverarbeitung (DE-588)4113314-6 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Lineare Kontrolltheorie (DE-588)4123657-9 gnd rswk-swf Lineares System (DE-588)4125617-7 s DE-604 Lineare Kontrolltheorie (DE-588)4123657-9 s 1\p DE-604 Digitale Signalverarbeitung (DE-588)4113314-6 s 2\p DE-604 Michel, Anthony N. 1935- Verfasser (DE-588)11087076X aut text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2687859&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016073933&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Antsaklis, Panos J. Michel, Anthony N. 1935- Linear systems Control theory Linear control systems Signal processing Digitale Signalverarbeitung (DE-588)4113314-6 gnd Lineares System (DE-588)4125617-7 gnd Lineare Kontrolltheorie (DE-588)4123657-9 gnd |
| subject_GND | (DE-588)4113314-6 (DE-588)4125617-7 (DE-588)4123657-9 |
| title | Linear systems |
| title_auth | Linear systems |
| title_exact_search | Linear systems |
| title_exact_search_txtP | Linear systems |
| title_full | Linear systems Panos J. Antsaklis ; Anthony N. Michel |
| title_fullStr | Linear systems Panos J. Antsaklis ; Anthony N. Michel |
| title_full_unstemmed | Linear systems Panos J. Antsaklis ; Anthony N. Michel |
| title_short | Linear systems |
| title_sort | linear systems |
| topic | Control theory Linear control systems Signal processing Digitale Signalverarbeitung (DE-588)4113314-6 gnd Lineares System (DE-588)4125617-7 gnd Lineare Kontrolltheorie (DE-588)4123657-9 gnd |
| topic_facet | Control theory Linear control systems Signal processing Digitale Signalverarbeitung Lineares System Lineare Kontrolltheorie |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=2687859&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016073933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT antsaklispanosj linearsystems AT michelanthonyn linearsystems |