Positive linear systems: theory and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
2000
|
| Schriftenreihe: | Pure and applied mathematics
A Wiley-Interscience publication |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | VII, 305 S. graph. Darst. |
| ISBN: | 0471384569 |
Internformat
MARC
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| 100 | 1 | |a Farina, Lorenzo |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Positive linear systems |b theory and applications |c Lorenzo Farina ; Sergio Rinaldi |
| 264 | 1 | |a New York [u.a.] |b Wiley |c 2000 | |
| 300 | |a VII, 305 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Pure and applied mathematics | |
| 490 | 0 | |a A Wiley-Interscience publication | |
| 650 | 4 | |a Linear systems | |
| 650 | 4 | |a Non-negative matrices | |
| 650 | 4 | |a Positive systems | |
| 650 | 0 | 7 | |a Nichtnegative Matrix |0 (DE-588)4310434-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineares System |0 (DE-588)4125617-7 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Rinaldi, Sergio |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804128506469154816 |
|---|---|
| adam_text | Contents
Preface
ix
PART I DEFINITIONS
1
1
Introduction
3
2
Definitions and Conditions of
Positivity
7
3
Influence Graphs
17
4
Irreducibility, Excitability, and Transparency
23
PART IT PROPERTIES
38
5
Stability
35
6
Spectral Characterization of Irreducible Systems
49
v
Vi
CONTENTS
7
Positivity
of Equilibria
57
8
Reachability and Observability
65
9
Realization
81
10
Minimum Phase
91
11
Interconnected Systems
101
PART III APPLICATIONS
107
12
Input-Output Analysis
109
13
Age-Structured Population Models
117
14
Markov Chains
131
15
Compartmental Systems
145
16
Queueing Systems
155
Conclusions
167
Annotated Bibliography
169
Bibliography
177
Appendix A: Elements of Linear Algebra and Matrix Theory
187
A.I Real Vectors and Matrices
187
A.2 Vector Spaces
189
A.3 Dimension of a Vector Space
193
A.
4
Change of Basis
195
A.
5
Linear Transformations and Matrices
196
A.
6
Image and Null Space
198
A.
7
Invariant Subspaces, Eigenvectors, and
Eigenvalues
201
A.
8
Jordan Canonical Form
207
CONTENTS VÜ
Α.
9
Annihilating Polynomial and Minimal Polynomial
210
A.
10
Normed Spaces
212
A.
11
Scalar Product and Orthogonality
216
A.12 Adjoint Transformations
221
Appendix B: Elements of Linear Systems Theory
225
B.I Definition of Linear Systems
225
B.2
ARMA
Model and Transfer Function
228
B.3 Computation of Transfer Functions and
Realization
231
B.4 Interconnected Subsystems and Mason s Formula
234
B,5 Change of Coordinates and Equivalent Systems
237
B.6 Motion, Trajectory, and Equilibrium
238
B.7 Lagrange s Formula and Transition Matrix
241
B,8 Reversibility
244
B.9 Sampled-Data Systems
244
B.10 Internal Stability: Definitions
9,48
B.ll Eigenvalues and Stability
248
B.12 Tests of Asymptotic Stability
251
B.13 Energy and Stability
256
ВЛ4
Dominant Eigenvalue and Eigenvector
259
B.15 Reachability and Control Law
260
ВЛ6
Observability and State Reconstruction
264
B.17 Decomposition Theorem
268
B.18 Determination of the
ARMA
Models
272
B.19 Poles and Zeros of the Transfer Function
279
B.20 Poles and Zeros of Interconnected Systems
282
B.21 Impulse Response
286
B.22 Frequency Response
288
B.23 Fourier Transform
293
B.24 Laplace Transform
296
В
„25
Z-Transform
298
B.26 Laplace and. Z—Transforms and Transfer
Functions
300
Index
303
study
ön
an
e
ii
systems—positiye
i
Ohe
of the most often-encountered
systerns
in nearly all areas of science and
lêe
noìogy,
pösitiye
linear systems is a specific but remarkable and fascinating class,
Renowned scientists Lorenzo Farina and Sergio Rinaldi introduce readers
ώ
the
world of positive linear systems in their rigorous but highly accessible book,
rieb
In
applications,
examples, and figures.
.
ИЇ>
.
»t- 1
. ,
J
·
This professional reference is. divided into three main parts: The first part
contajaş
the definitions and basic properties of positive linear systems^ The second
Jiąit,
following the theoretical exposition, reports the main conceptual results, consider¬
ing applicable examples taken from
à
number of widely used models.
Ţfie
third part
is devoted to the study of some classes of positive linear systems of particular rele¬
vance in applications (such as the
Leontief
model, the Leslie model, the MarKpv
chains, the compartmental systems, and the
queueîng
systems). Readers
familiär
with linear algebra and linear systems theory will appreciate the way arguments are
treated and presented.
Extraordinarily comprehensive, Positive Linear Systems features:
:
•
Applications from
á variety
of backgrounds including modeling, control
engineering, computer science, demography, economics,
bioèrigineèring,
Γ
chemistry, and ecology
•
References arid annotated bibliographies throughout the book
,
•
Two appendices concerning linear algebra and linear systems theory for
readers unfamiliar with the mathematics used
.. ·.. ■ ·/ · ■ .
Farina and Rinaldi make no effort to hide their enthusiasm for the topics presented,
making Positive linear Systems: Theory and Applications an indispensable resource for
researchers and professionals in a broad range of fields.
|
| any_adam_object | 1 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/434 |
| dewey-search | 512.9/434 |
| dewey-sort | 3512.9 3434 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013691746 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:50:20Z |
| institution | BVB |
| isbn | 0471384569 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009356398 |
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| physical | VII, 305 S. graph. Darst. |
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| spelling | Farina, Lorenzo Verfasser aut Positive linear systems theory and applications Lorenzo Farina ; Sergio Rinaldi New York [u.a.] Wiley 2000 VII, 305 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics A Wiley-Interscience publication Linear systems Non-negative matrices Positive systems Nichtnegative Matrix (DE-588)4310434-4 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Lineares System (DE-588)4125617-7 s Nichtnegative Matrix (DE-588)4310434-4 s DE-604 Rinaldi, Sergio 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=009356398&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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=009356398&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Farina, Lorenzo Rinaldi, Sergio Positive linear systems theory and applications Linear systems Non-negative matrices Positive systems Nichtnegative Matrix (DE-588)4310434-4 gnd Lineares System (DE-588)4125617-7 gnd |
| subject_GND | (DE-588)4310434-4 (DE-588)4125617-7 |
| title | Positive linear systems theory and applications |
| title_auth | Positive linear systems theory and applications |
| title_exact_search | Positive linear systems theory and applications |
| title_full | Positive linear systems theory and applications Lorenzo Farina ; Sergio Rinaldi |
| title_fullStr | Positive linear systems theory and applications Lorenzo Farina ; Sergio Rinaldi |
| title_full_unstemmed | Positive linear systems theory and applications Lorenzo Farina ; Sergio Rinaldi |
| title_short | Positive linear systems |
| title_sort | positive linear systems theory and applications |
| title_sub | theory and applications |
| topic | Linear systems Non-negative matrices Positive systems Nichtnegative Matrix (DE-588)4310434-4 gnd Lineares System (DE-588)4125617-7 gnd |
| topic_facet | Linear systems Non-negative matrices Positive systems Nichtnegative Matrix Lineares System |
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