Stability theory of switched dynamical systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Springer
2011
|
| Edition: | [softcover repr. of the hardcover 1. ed. 2011] |
| Series: | Communications and control engineering
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XIX, 253 S. Ill., graph. Darst. 24 cm |
| ISBN: | 9781447126249 1447126246 |
Staff View
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042325546 | ||
| 003 | DE-604 | ||
| 005 | 20150227 | ||
| 007 | t | ||
| 008 | 150203s2011 xxkad|| |||| 00||| eng d | ||
| 010 | |a 2011283884 | ||
| 020 | |a 9781447126249 |c alk. paper |9 978-1-4471-2624-9 | ||
| 020 | |a 1447126246 |c alk. paper |9 1-4471-2624-6 | ||
| 035 | |a (OCoLC)707101363 | ||
| 035 | |a (DE-599)BVBBV042325546 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxk |c GB | ||
| 049 | |a DE-739 |a DE-706 | ||
| 100 | 1 | |a Sun, Zhendong |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stability theory of switched dynamical systems |c Zhendong Sun ; Shuzhi Sam Ge |
| 250 | |a [softcover repr. of the hardcover 1. ed. 2011] | ||
| 264 | 1 | |a London |b Springer |c 2011 | |
| 300 | |a XIX, 253 S. |b Ill., graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Communications and control engineering | |
| 650 | 4 | |a Ingenieurwissenschaften | |
| 650 | 4 | |a Stability | |
| 650 | 4 | |a Switching theory | |
| 650 | 4 | |a Dynamics | |
| 650 | 4 | |a Engineering | |
| 650 | 0 | 7 | |a Stabilität |0 (DE-588)4056693-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 0 | 1 | |a Stabilität |0 (DE-588)4056693-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Ge, Shuzhi Sam |d 1963- |e Sonstige |0 (DE-588)141857781 |4 oth | |
| 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=027762387&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 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=027762387&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027762387 | ||
Record in the Search Index
| _version_ | 1804152926818533376 |
|---|---|
| adam_text | Contents
Introduction
................................ 1
1.1
Switched Dynamical
Systems.................... 1
1.2
Stability and StabilizabiJity of Switched Systems
.......... 4
J
.2. 1
Guaranteed
Stability
Under Arbitrary Switching
...... 5
1.2.2
Dwell Time Stability
....... ............. 6
1.2.3
Autonomous Stability Under State-Driven Switching
, ... 8
1.2.4
Stochastic Stabilities Under Random Switching
...... 9
1.2.5
Stabilizing Switching Design
................ 11
1.3
Organization of the Book
..................., , . 12
1.4
Notes and References
........................
A
Arbitrary Switching
........................... 17
2.1
Preliminaries
............................. 17
2.2
Switched Nonlinear Systems
.................... 19
2.2.1
Common Lyapunov Functions
................ 20
2.2.2
Converse Lyapunov Theorem
................ 23
2.3
Switched Linear Systems
...................... 25
2.3.1
Relaxed System Frameworks
................ 26
2.3.2
Universal Lyapunov Functions
............... 30
2.3.3
Algebraic Criteria
,..................... 35
2.3.4
Extended Coordinate Transformation and Set
Invariance
. . 41
2.3.5
Triangularizabłe
Systems
.................. 48
2.4
Computational Issues
........................
j?.
2.4.1
Approximating ihe Spectral Radius
,,..,,.,,,.,.
ίϊλ
2.4.2
An Invariant Set Approach
................. 62
2.
,j Notes and References
........................ 65
č Swíídbmg
..,,.,,,......,..,,,....., 71
3.1
Introduction
...........,................. 71
3.2
Stochastic Stability
......................... 71.
3.2.1
Introduction
......................... 71
3.2.2
Definitions and Preliminaries
................ 72
3.2.3
Stability Criteria
....................... 73
ХШ
xiv
3.3
Piecewise Linear Systems
......................
^
3.3.1
Introduction
......................... 8^
3.3.2
Piecewise Quadratic Lyapunov Function Approach
.....
gg
3.3.3
Surface Lyapunov Approach
................ 92
3.3.4
Transition Analysis: A Graphic Approach
......... 100
3.3.5
Conewise Linear Systems
.................. 105
3.4
Dwell-time Switching
........................ 112
3.4.1
Preliminaries
.........................
ИЗ
3.4.2
Homogeneous Polynomial Lyapunov Approach
......
g
3.4.3
Combined Switching
.................... 122
3.5
Notes and References
........................ 124
Designed Switching
............................ 127
4.1
Preliminaries
............................. 127
4.2
Stabilization via Time-Driven Switching
.............. 128
4.3
Stabilization via State-Feedback Switching: The Lyapunov
Approach
............................... 133
4.3.1
Converse Lyapunov Theorems
............... 134
4.3.2
Nonconvexity of Lyapunov Functions
............ 140
4.3.3
Min
Quadratic Lyapunov Functions: An Optimization
Approach
,.......................... 144
4.3.4
Well-Definedness of State-Feedback Stabilizing Law
. ... 155
4.4
Stabilization via Mixed-Driven Switching: Aggregation and
Calculation
.............................. 156
4.4.1
Pathwise State-Feedback Switching
.............157
4.4.2
Computational Algorithms
.................164
4.5
Stabilization via Mixed-Driven Switching: Robustness Analysis
. . 170
4.5.1
Distance Between Switching Signals
............ 171
4.5.2
Robustness Analysis
..................... 177
4.5.3
Examples and Simulations
.................. 183
4.6
Notes and References
........................ 3 93
Connections and Implications
......................197
5.1
Absolute Stability for Planar Lur e Systems
............197
5.1.1
Guaranteed Stability in the Plane
..............198
5.1.2
Application to Absolute Stability of Planar Lur e Systems
. 203
5.2
Adaptive Control via Supervisory Switching
............205
5.2.1
Preliminaries
......................... 206
5.2.2
Estimator-based Supervisory Switching
........... 208
5.2.3
An Example
................,........ 212
5.3
Stability Analysis of Fuzzy Systems via Piecewise Switching
. . . 215
5.3.
J
Piecewise Switched Linear Systems
.....,....... 216
5.3.2
Stability Analysis of
T S
Fuzzy Systems
.......... 218
5.4
Consensus of Multiagent Systems with Proximity Graphs
..... 221
5.4.1
Introduction
.........................221
5.4.2
A Consensus Criterion
....................223
5.4.3
A Verifiable Criterion
....................225
XV
Contents
s
5
Stabilizing Design of Controllable Switched Linear Systems
. ... 231
5 5.1
Problem Formulation
.................... 231
5.5.2
Multilinear Feedback Design
................ 231
5.6
Notes and References
........................ 236
239
References
...................................
*°*
,ndex
......................................
251
Stability issues are fundamental in the study of the many complex nonlinear dynamic
behaviours within switched systems. Professors Sun and Ge present a thorough inves¬
tigation of stability effects on three broad classes of switching mechanism:
•
arbitrary switching where stability represents robustness to unpredictable and
undesirable perturbation;
•
constrained switching, including random (within a known stochastic
distribution), dwell-time (with a known minimum duration for each subsystem)
and autonomously-generated (with a pre-assigned mechanism) switching; and
•
designed switching in which a measurable and freely-assigned switching
mechanism contributes to stability by acting as a control input.
For each of these classes Stability Theory for Switched Dynamical Systems propounds:
•
detailed stability analysis and/or design;
•
related robustness and performance issues;
•
connections to other well-known control problems; and
•
many motivating a&4 illustrative examples.
Academic researchers and engineers interested in
systeoìs arti
book ofgreat value in dealing with all forms ofswitchmg and it
v
of complementary reading
íor
graduate
ѕШеШоГпШ{Ша^1ѕршШѕВДШ^
|
| any_adam_object | 1 |
| author | Sun, Zhendong |
| author_GND | (DE-588)141857781 |
| author_facet | Sun, Zhendong |
| author_role | aut |
| author_sort | Sun, Zhendong |
| author_variant | z s zs |
| building | Verbundindex |
| bvnumber | BV042325546 |
| ctrlnum | (OCoLC)707101363 (DE-599)BVBBV042325546 |
| edition | [softcover repr. of the hardcover 1. ed. 2011] |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02022nam a2200469zc 4500</leader><controlfield tag="001">BV042325546</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150227 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">150203s2011 xxkad|| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2011283884</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781447126249</subfield><subfield code="c">alk. paper</subfield><subfield code="9">978-1-4471-2624-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1447126246</subfield><subfield code="c">alk. paper</subfield><subfield code="9">1-4471-2624-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)707101363</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042325546</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxk</subfield><subfield code="c">GB</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Sun, Zhendong</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stability theory of switched dynamical systems</subfield><subfield code="c">Zhendong Sun ; Shuzhi Sam Ge</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">[softcover repr. of the hardcover 1. ed. 2011]</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London</subfield><subfield code="b">Springer</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIX, 253 S.</subfield><subfield code="b">Ill., 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="490" ind1="0" ind2=" "><subfield code="a">Communications and control engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ingenieurwissenschaften</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Switching theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stabilität</subfield><subfield code="0">(DE-588)4056693-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Stabilität</subfield><subfield code="0">(DE-588)4056693-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ge, Shuzhi Sam</subfield><subfield code="d">1963-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)141857781</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau - ADAM Catalogue Enrichment</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=027762387&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau - ADAM Catalogue Enrichment</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=027762387&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Klappentext</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027762387</subfield></datafield></record></collection> |
| id | DE-604.BV042325546 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:18:29Z |
| institution | BVB |
| isbn | 9781447126249 1447126246 |
| language | English |
| lccn | 2011283884 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027762387 |
| oclc_num | 707101363 |
| open_access_boolean | |
| owner | DE-739 DE-706 |
| owner_facet | DE-739 DE-706 |
| physical | XIX, 253 S. Ill., graph. Darst. 24 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series2 | Communications and control engineering |
| spelling | Sun, Zhendong Verfasser aut Stability theory of switched dynamical systems Zhendong Sun ; Shuzhi Sam Ge [softcover repr. of the hardcover 1. ed. 2011] London Springer 2011 XIX, 253 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Communications and control engineering Ingenieurwissenschaften Stability Switching theory Dynamics Engineering Stabilität (DE-588)4056693-6 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Stabilität (DE-588)4056693-6 s DE-604 Ge, Shuzhi Sam 1963- Sonstige (DE-588)141857781 oth 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=027762387&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=027762387&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Sun, Zhendong Stability theory of switched dynamical systems Ingenieurwissenschaften Stability Switching theory Dynamics Engineering Stabilität (DE-588)4056693-6 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4013396-5 |
| title | Stability theory of switched dynamical systems |
| title_auth | Stability theory of switched dynamical systems |
| title_exact_search | Stability theory of switched dynamical systems |
| title_full | Stability theory of switched dynamical systems Zhendong Sun ; Shuzhi Sam Ge |
| title_fullStr | Stability theory of switched dynamical systems Zhendong Sun ; Shuzhi Sam Ge |
| title_full_unstemmed | Stability theory of switched dynamical systems Zhendong Sun ; Shuzhi Sam Ge |
| title_short | Stability theory of switched dynamical systems |
| title_sort | stability theory of switched dynamical systems |
| topic | Ingenieurwissenschaften Stability Switching theory Dynamics Engineering Stabilität (DE-588)4056693-6 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Ingenieurwissenschaften Stability Switching theory Dynamics Engineering Stabilität Dynamisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762387&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762387&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT sunzhendong stabilitytheoryofswitcheddynamicalsystems AT geshuzhisam stabilitytheoryofswitcheddynamicalsystems |