Convolution algebra representation of systems described by linear hyperbolic partial differential equations

The representation of the input-output operator in convolution algebra B(σ 0 ) is obtained for distributed parameter systems described by linear hyperbolic partial differential equations. Three kinds of system are considered depending on the kind of coefficient matrix corresponding to the space vari...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:International journal of control Ročník 49; číslo 6; s. 2029 - 2044
Hlavní autoři: Levkov, S. P., Korbicz, Józef
Médium: Journal Article
Jazyk:angličtina
Vydáno: London Taylor & Francis Group 01.06.1989
Taylor & Francis
Témata:
Applied sciences
Computer science; control theory; systems
Control theory. Systems
Exact sciences and technology
Modelling and identification
Input output
Convolution
Stability
Necessary and sufficient condition
Hyperbolic equation
System representation
Operational calculus
Distributed parameter system
ISSN:0020-7179, 1366-5820
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract The representation of the input-output operator in convolution algebra B(σ 0 ) is obtained for distributed parameter systems described by linear hyperbolic partial differential equations. Three kinds of system are considered depending on the kind of coefficient matrix corresponding to the space variable derivative, and their properties are studied. Necessary and sufficient conditions for stability are obtained in terms of factorization of the transition matrix. The obtained results allow the use of modern algebraic methods for analysis of such systems.
AbstractList The representation of the input-output operator in convolution algebra B( sigma sub(0)) is obtained for distributed parameter systems described by linear hyperbolic partial differential equations. Three kinds of system are considered depending on the kind of coefficient matrix corresponding to the space variable derivative, and their properties are studied. Necessary and sufficient conditions for stability are obtained in terms of factorization of the transition matrix. The obtained results allow the use of modern algebraic methods for analysis of such systems.
The representation of the input-output operator in convolution algebra B(σ 0 ) is obtained for distributed parameter systems described by linear hyperbolic partial differential equations. Three kinds of system are considered depending on the kind of coefficient matrix corresponding to the space variable derivative, and their properties are studied. Necessary and sufficient conditions for stability are obtained in terms of factorization of the transition matrix. The obtained results allow the use of modern algebraic methods for analysis of such systems.
Author Levkov, S. P.
Korbicz, Józef
Author_xml – sequence: 1
  givenname: S. P.
  surname: Levkov
  fullname: Levkov, S. P.
  organization: Academy of Science of UkrSSR, Institute of Cybernetics, prosp
– sequence: 2
  givenname: Józef
  surname: Korbicz
  fullname: Korbicz, Józef
  organization: Department of Applied Mathematics and Computer Science, ul , Higher College of Engineering
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=7343242$$DView record in Pascal Francis
BookMark eNp1kE9P3DAQxa0KpC7QD9CbD6i3wNjeJI7EpVqVPxISF3qOJva4deu1g51tlW_fLAu9IE6jmfm9N6N3wo5iisTYZwEXAjRcAkhoRas70HXdtQ18YCuhmqaqtYQjttrvqwXoPrKTUn4BCFVrsWK_Nyn-SWE3-RQ5hh80ZOSZxkyF4oTP4-R4mctE28ItFZP9QJYPMw8-Emb-cx4pDyl4w0fMk8fArXeO8mKwb-hp9-xTztixw1Do00s9Zd-vvz1ubqv7h5u7zdf7yijQU6WVReikHqyUsmkas8ZOWlG3y9NusMPQoiQpnQJLqMk1QK2pHRgQjV0c1Cn7cvAdc3raUZn6rS-GQsBIaVd6WYsaoNuD5y8gFoPBZYzGl37Mfot57lu1VnItF0wcMJNTKZncf0JAv0-_f5P-ork6aHx0KW_xb8rB9hPOIeXXO-p9-T9BJI5h
CODEN IJCOAZ
Cites_doi 10.1080/00207178208932903
10.1109/TAC.1980.1102374
10.1109/TAC.1984.1103410
ContentType Journal Article
Copyright Copyright Taylor & Francis Group, LLC 1989
1989 INIST-CNRS
Copyright_xml – notice: Copyright Taylor & Francis Group, LLC 1989
– notice: 1989 INIST-CNRS
DBID AAYXX
CITATION
IQODW
7SC
8FD
JQ2
L7M
L~C
L~D
DOI 10.1080/00207178908559760
DatabaseName CrossRef
Pascal-Francis
Computer and Information Systems Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Computer and Information Systems Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Advanced Technologies Database with Aerospace
ProQuest Computer Science Collection
Computer and Information Systems Abstracts Professional
DatabaseTitleList Computer and Information Systems Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Applied Sciences
EISSN 1366-5820
EndPage 2044
ExternalDocumentID 7343242
10_1080_00207178908559760
8559760
GroupedDBID -~X
07I
0R~
1TA
4.4
4B5
5GY
5VS
6TJ
8WZ
A6W
AAYLN
ABJNI
ACBEA
ACGEJ
ACGFO
ACGFS
ACIWK
ADCVX
ADXEU
ADXPE
AEHZU
AENEX
AEPSL
AEYOC
AEZBV
AFFNX
AFION
AGBLW
AGYFW
AIDUJ
AKHJE
AKMBP
ALMA_UNASSIGNED_HOLDINGS
ALXIB
AQTUD
AWYRJ
BGSSV
C0-
C5H
CCCUG
CS3
DEXXA
DU5
EBS
EJD
F5P
FETWF
H13
HZ~
IFELN
L8C
NA5
NUSFT
NX~
O9-
P2P
SC5
TAJZE
TAP
TDBHL
TFL
TFW
TN5
UB6
ZY4
.7F
.QJ
0BK
29J
2DF
30N
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
AAYXX
ABCCY
ABDMP
ABFIM
ABHAV
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACTIO
ACTTO
ADGTB
ADIYS
ADUMR
AEISY
AEOZL
AFBWG
AFKVX
AFRVT
AGBKS
AGDLA
AGMYJ
AGVKY
AGWUF
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALQZU
ALRRR
AMVHM
AQRUH
AVBZW
BLEHA
BWMZZ
CAG
CE4
CITATION
COF
CYRSC
DAOYK
DGEBU
DKSSO
E~A
E~B
GTTXZ
HF~
H~P
IPNFZ
J.P
KYCEM
LJTGL
M4Z
OPCYK
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TEN
TFT
TNC
TTHFI
TUROJ
TWF
UT5
UU3
ZGOLN
~S~
ADYSH
IQODW
7SC
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c308t-83da0928bd222666c4a92d157001fbdbb7a2e22f30dea8ef60e7c5f0c016d3083
IEDL.DBID TFW
ISICitedReferencesCount 1
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=10_1080_00207178908559760&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0020-7179
IngestDate Sun Nov 09 10:24:55 EST 2025
Mon Jul 21 09:14:33 EDT 2025
Sat Nov 29 05:46:00 EST 2025
Mon Oct 20 23:44:19 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Keywords Input output
Convolution
Stability
Necessary and sufficient condition
Hyperbolic equation
System representation
Operational calculus
Distributed parameter system
Language English
License CC BY 4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c308t-83da0928bd222666c4a92d157001fbdbb7a2e22f30dea8ef60e7c5f0c016d3083
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
PQID 25150098
PQPubID 23500
PageCount 16
ParticipantIDs pascalfrancis_primary_7343242
crossref_primary_10_1080_00207178908559760
proquest_miscellaneous_25150098
informaworld_taylorfrancis_310_1080_00207178908559760
PublicationCentury 1900
PublicationDate 1989-06-01
PublicationDateYYYYMMDD 1989-06-01
PublicationDate_xml – month: 06
  year: 1989
  text: 1989-06-01
  day: 01
PublicationDecade 1980
PublicationPlace London
PublicationPlace_xml – name: London
PublicationTitle International journal of control
PublicationYear 1989
Publisher Taylor & Francis Group
Taylor & Francis
Publisher_xml – name: Taylor & Francis Group
– name: Taylor & Francis
References Zemanjan A. G. (CIT0012) 1974
Schwartz L. (CIT0011) 1966
CIT0001
Reed M. (CIT0009) 1977
CIT0003
CIT0002
Levkov S. P. (CIT0007) 1983
Gelfand I. M. (CIT0005) 1941; 9
CIT0004
Rozdestvenskiy B. L. (CIT0010) 1978
CIT0006
Levkov S. P. (CIT0008) 1983
References_xml – ident: CIT0002
  doi: 10.1080/00207178208932903
– ident: CIT0004
  doi: 10.1109/TAC.1980.1102374
– volume-title: Integral Transforms of Distributions
  year: 1974
  ident: CIT0012
– ident: CIT0006
– volume-title: Systems of Quasi-linear Equations
  year: 1978
  ident: CIT0010
– ident: CIT0001
– volume-title: Theorie de Distribution
  year: 1966
  ident: CIT0011
– start-page: 32
  year: 1983
  ident: CIT0007
  publication-title: Stability of feedback systems with a distributed parameter hyperbolic system, Automatica
– start-page: 32
  year: 1983
  ident: CIT0008
  publication-title: Stability of feedback systems with a distributed parameter hyperbolic system, Automatica
– volume-title: Functional Analysis
  year: 1977
  ident: CIT0009
– ident: CIT0003
  doi: 10.1109/TAC.1984.1103410
– volume: 9
  year: 1941
  ident: CIT0005
  publication-title: Absolutely converging trigonometric series and integrals, Mathematical Collection
SSID ssj0013581
Score 1.3490714
Snippet The representation of the input-output operator in convolution algebra B(σ 0 ) is obtained for distributed parameter systems described by linear hyperbolic...
The representation of the input-output operator in convolution algebra B( sigma sub(0)) is obtained for distributed parameter systems described by linear...
SourceID proquest
pascalfrancis
crossref
informaworld
SourceType Aggregation Database
Index Database
Publisher
StartPage 2029
SubjectTerms Applied sciences
Computer science; control theory; systems
Control theory. Systems
Exact sciences and technology
Modelling and identification
Title Convolution algebra representation of systems described by linear hyperbolic partial differential equations
URI https://www.tandfonline.com/doi/abs/10.1080/00207178908559760
https://www.proquest.com/docview/25150098
Volume 49
WOSCitedRecordID wos10_1080_00207178908559760&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAWR
  databaseName: Taylor & Francis Journals Complete
  customDbUrl:
  eissn: 1366-5820
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0013581
  issn: 0020-7179
  databaseCode: TFW
  dateStart: 19650101
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELYQYoCBN6JAwQMTUqS8Y4-oomKqGIroFvkpEFJSmrQS_567OCktIAYYIzl24jvf3WefvyPkWlvFQpukngVA68XaSk8mvvR0kDIuldEqs02xiWw0YpMJf2hzc6o2rRIxtHVEEY2txsUtZNVlxOENbkQhjGOOFbhTROwQ1aN-j4dPn2cICXP18gAgQXPenWn-1MOaV1rjLMVkSVHBfFlX6OKbzW4c0XDvn7-wT3bbCJTeOpU5IBumOCQ7K7yER-R1UBaLVicpFgIBSE0b-svuqlJBS0sdC3RFtUHbI42m8p3ix4gZfQZ8O5NIOkynqJ0wYleLpXkwb45jvDomj8O78eDea6syeCryWe2xSAufh0xqCC0A_KhY8FAHyJMfWKmlzERowtBGvjaCGZv6JlOJ9RUElxp6iE7IZlEW5pTQiKnYKJ5pyXgMJltqDv2AfwRYZRRLe-Smk0o-deQbebDkNP0ygz2SrMotr5sdj1ZqefTLe_01AS9HyvDObRz2yFUn8ByWHp6niMKU8yqH0DBBPtazP458TrZdxhru6VyQzXo2N32ypRb1SzW7bJT5A-jy9Xk
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEF6kCurBt1i1dg-ehECeze5RiqViLR4q9hayLxQhqU1a8N87k0dtVTzoMZDsJjuTmflmZ78h5FIZyVwTdCwDgNbylRGWCGxhKafDuJBaydAUzSbC4ZCNx_yhSrhlVVklYmhTEkUUthp_bkxG1yVxeIQbYQjjWGQF_hQg-3oAfhZL-ka9p89dhICVHfMAIsH9vN7V_GmIFb-0wlqK5ZJxBitmylYX36x24Yp6u__9iD2yUwWh9LrUmn2yppMDsr1ETXhIXrtpMq_UkmIvEEDVtGDArE8rJTQ1tCSCzqjSaH6EVlS8U3ybeEqfAeJOBfIO0wkqKMxYt2MpLvRbSTOeHZHH3s2o27eqxgyW9GyWW8xTsc1dJhREF4B_pB9zVzlIle8YoYQIY1e7rvFspWOmTcfWoQyMLSG-VDCCd0waSZroE0I9Jn0teagE4z5YbaE4jAMuEpCVlqzTJFe1WKJJyb8ROQta0y8r2CTBsuCivEh6VGKLvF-ea61IeDFTiMdufbdJ2rXEI_j7cEslTnQ6yyKIDgOkZD3948xtstkf3Q-iwe3w7oxslQVsmOI5J418OtMtsiHn-Us2vSg0-wNLuvma
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8QwEA6iInrwLa66bg6ehELfTY6yWhRl2cOKeyvNC0Vo17a74L93krbrrooHPRbSpM1MZvJlJt8gdCEUJ64KQksBoLV8oZjFAptZwgkJZVwKHilTbCIaDMh4TIdNbk7ZpFVqDK1qoghjq_XingjVZsTpG9wahRCqc6zAnQJiXzPEWKDOo_jpM4gQkLpgHiAkaE_boOZPXSy5pSXSUp0tmZYwYaqudPHNaBtPFO_88x920XazBcVXtc7soRWZ7aOtBWLCA_Taz7NZo5RYVwIBTI0N_2V7VynDucI1DXSJhdTGh0mB2TvWH5MW-BkAbsE06zCeaPWEEdtiLOZBvtUk4-UheoxvRv1bqynLYHHPJpVFPJHa1CVMwN4C0A_3U-oKRxPlO4oJxqLUla6rPFvIlEgV2jLigbI5iEhAD94RWs3yTB4j7BHuS04jwQj1wWYzQaEfcJCAqyQnYQddtlJJJjX7RuLMSU2_zGAHBYtySypz5NFILfF-ea-7JOD5SJG-dOu7HdRrBZ7A2tMBlTST-bRMYG8YaELWkz-O3EMbw-s4ebgb3J-izTp7TZ_vnKHVqpjKLlrns-qlLM6NXn8AQuP4Pg
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Convolution+algebra+representation+of+systems+described+by+linear+hyperbolic+partial+differential+equations&rft.jtitle=International+journal+of+control&rft.au=Levkov%2C+S.+P.&rft.au=Korbicz%2C+J%C3%B3zef&rft.date=1989-06-01&rft.issn=0020-7179&rft.eissn=1366-5820&rft.volume=49&rft.issue=6&rft.spage=2029&rft.epage=2044&rft_id=info:doi/10.1080%2F00207178908559760&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_00207178908559760
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7179&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7179&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7179&client=summon