On the Resilience Analysis of Interconnected Systems By a Set-Theoretic Approach
Identifieur interne : 000282 ( Main/Exploration ); précédent : 000281; suivant : 000283On the Resilience Analysis of Interconnected Systems By a Set-Theoretic Approach
Auteurs : Xing Liu [France] ; Ionela Prodan [France] ; Enrico Zio [France]Source :
Abstract
The paper deals with the resilience analysis of critical infrastructure systems. An infrastructure sys-tem is a network of subsystems, which inter-operate through dependencies of various types. The interac-tion and dependency among the subsystems make the entire infrastructure system more complex and possibly vulnerable. We interpret resilience as a sys-tem property related to the prevention of, robustness to and recovery from undesired disturbances and events. Such resilience property of interconnected systems depends also on their structure and design parameters. In this paper, we abstract the structure of the sys-tem by a directed graph. A state dynamics is associ-ated to each of the subsystems, with interdependent terms that can represent different types of interde-pendencies. The system response to undesired dis-turbances and events could, then, be analyzed using notions from set theory, to identify regions of opera-tion and recoverable or non-recoverable conditions. Moreover, a characterization of the system resilience as a function of the design parameters can be pro-vided, which is useful for resilient design and opera-tion purposes. The benefits of the proposed approach are highlighted through an illustrative, numerical application.
Url:
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Hal, to step Corpus: 000187
- to stream Hal, to step Curation: 000187
- to stream Hal, to step Checkpoint: 000071
- to stream Main, to step Merge: 000282
- to stream Main, to step Curation: 000282
Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">On the Resilience Analysis of Interconnected Systems By a Set-Theoretic Approach</title><author><name sortKey="Liu, Xing" sort="Liu, Xing" uniqKey="Liu X" first="Xing" last="Liu">Xing Liu</name><affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-391008" status="INCOMING"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-11769" type="direct"></relation><relation active="#struct-411575" type="indirect"></relation><relation active="#struct-161195" type="direct"></relation><relation active="#struct-300812" type="indirect"></relation><relation active="#struct-300342" type="indirect"></relation><relation active="#struct-302313" type="indirect"></relation></listRelation><tutelles><tutelle active="#struct-11769" type="direct"><org type="laboratory" xml:id="struct-11769" status="VALID"><orgName>Laboratoire Génie Industriel - EA 2606</orgName><orgName type="acronym">LGI</orgName><desc><address><addrLine>CentraleSupélec - Grande Voie des Vignes - 92295 Chatenay-Malabry</addrLine><country key="FR"></country></address><ref type="url">http://www.lgi.ecp.fr</ref></desc><listRelation><relation active="#struct-411575" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-411575" type="indirect"><org type="institution" xml:id="struct-411575" status="VALID"><orgName>CentraleSupélec</orgName><desc><address><addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.centralesupelec.fr</ref></desc></org></tutelle><tutelle active="#struct-161195" type="direct"><org type="laboratory" xml:id="struct-161195" status="VALID"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><orgName type="acronym">SSEC</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-300812" type="direct"></relation><relation active="#struct-300342" type="direct"></relation><relation active="#struct-411575" type="direct"></relation><relation active="#struct-302313" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-300812" type="indirect"><org type="institution" xml:id="struct-300812" status="VALID"><orgName>SUPELEC</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-300342" type="indirect"><org type="institution" xml:id="struct-300342" status="VALID"><orgName>Ecole Centrale Paris</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-302313" type="indirect"><org type="institution" xml:id="struct-302313" status="VALID"><orgName>Electricité de France</orgName><orgName type="acronym">EDF R&D</orgName><desc><address><addrLine>7 Boulevard Gaspard Monge91120 Palaiseau</addrLine><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation><country>France</country></affiliation></author><author><name sortKey="Prodan, Ionela" sort="Prodan, Ionela" uniqKey="Prodan I" first="Ionela" last="Prodan">Ionela Prodan</name><affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-391008" status="INCOMING"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-11769" type="direct"></relation><relation active="#struct-411575" type="indirect"></relation><relation active="#struct-161195" type="direct"></relation><relation active="#struct-300812" type="indirect"></relation><relation active="#struct-300342" type="indirect"></relation><relation active="#struct-302313" type="indirect"></relation></listRelation><tutelles><tutelle active="#struct-11769" type="direct"><org type="laboratory" xml:id="struct-11769" status="VALID"><orgName>Laboratoire Génie Industriel - EA 2606</orgName><orgName type="acronym">LGI</orgName><desc><address><addrLine>CentraleSupélec - Grande Voie des Vignes - 92295 Chatenay-Malabry</addrLine><country key="FR"></country></address><ref type="url">http://www.lgi.ecp.fr</ref></desc><listRelation><relation active="#struct-411575" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-411575" type="indirect"><org type="institution" xml:id="struct-411575" status="VALID"><orgName>CentraleSupélec</orgName><desc><address><addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.centralesupelec.fr</ref></desc></org></tutelle><tutelle active="#struct-161195" type="direct"><org type="laboratory" xml:id="struct-161195" status="VALID"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><orgName type="acronym">SSEC</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-300812" type="direct"></relation><relation active="#struct-300342" type="direct"></relation><relation active="#struct-411575" type="direct"></relation><relation active="#struct-302313" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-300812" type="indirect"><org type="institution" xml:id="struct-300812" status="VALID"><orgName>SUPELEC</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-300342" type="indirect"><org type="institution" xml:id="struct-300342" status="VALID"><orgName>Ecole Centrale Paris</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-302313" type="indirect"><org type="institution" xml:id="struct-302313" status="VALID"><orgName>Electricité de France</orgName><orgName type="acronym">EDF R&D</orgName><desc><address><addrLine>7 Boulevard Gaspard Monge91120 Palaiseau</addrLine><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation><country>France</country></affiliation></author><author><name sortKey="Zio, Enrico" sort="Zio, Enrico" uniqKey="Zio E" first="Enrico" last="Zio">Enrico Zio</name><affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-391008" status="INCOMING"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-11769" type="direct"></relation><relation active="#struct-411575" type="indirect"></relation><relation active="#struct-161195" type="direct"></relation><relation active="#struct-300812" type="indirect"></relation><relation active="#struct-300342" type="indirect"></relation><relation active="#struct-302313" type="indirect"></relation></listRelation><tutelles><tutelle active="#struct-11769" type="direct"><org type="laboratory" xml:id="struct-11769" status="VALID"><orgName>Laboratoire Génie Industriel - EA 2606</orgName><orgName type="acronym">LGI</orgName><desc><address><addrLine>CentraleSupélec - Grande Voie des Vignes - 92295 Chatenay-Malabry</addrLine><country key="FR"></country></address><ref type="url">http://www.lgi.ecp.fr</ref></desc><listRelation><relation active="#struct-411575" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-411575" type="indirect"><org type="institution" xml:id="struct-411575" status="VALID"><orgName>CentraleSupélec</orgName><desc><address><addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.centralesupelec.fr</ref></desc></org></tutelle><tutelle active="#struct-161195" type="direct"><org type="laboratory" xml:id="struct-161195" status="VALID"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><orgName type="acronym">SSEC</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-300812" type="direct"></relation><relation active="#struct-300342" type="direct"></relation><relation active="#struct-411575" type="direct"></relation><relation active="#struct-302313" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-300812" type="indirect"><org type="institution" xml:id="struct-300812" status="VALID"><orgName>SUPELEC</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-300342" type="indirect"><org type="institution" xml:id="struct-300342" status="VALID"><orgName>Ecole Centrale Paris</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-302313" type="indirect"><org type="institution" xml:id="struct-302313" status="VALID"><orgName>Electricité de France</orgName><orgName type="acronym">EDF R&D</orgName><desc><address><addrLine>7 Boulevard Gaspard Monge91120 Palaiseau</addrLine><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation><country>France</country></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">HAL</idno><idno type="RBID">Hal:hal-01108219</idno><idno type="halId">hal-01108219</idno><idno type="halUri">https://hal-supelec.archives-ouvertes.fr/hal-01108219</idno><idno type="url">https://hal-supelec.archives-ouvertes.fr/hal-01108219</idno><date when="2014-09-14">2014-09-14</date><idno type="wicri:Area/Hal/Corpus">000187</idno><idno type="wicri:Area/Hal/Curation">000187</idno><idno type="wicri:Area/Hal/Checkpoint">000071</idno><idno type="wicri:Area/Main/Merge">000282</idno><idno type="wicri:Area/Main/Curation">000282</idno><idno type="wicri:Area/Main/Exploration">000282</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">On the Resilience Analysis of Interconnected Systems By a Set-Theoretic Approach</title><author><name sortKey="Liu, Xing" sort="Liu, Xing" uniqKey="Liu X" first="Xing" last="Liu">Xing Liu</name><affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-391008" status="INCOMING"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-11769" type="direct"></relation><relation active="#struct-411575" type="indirect"></relation><relation active="#struct-161195" type="direct"></relation><relation active="#struct-300812" type="indirect"></relation><relation active="#struct-300342" type="indirect"></relation><relation active="#struct-302313" type="indirect"></relation></listRelation><tutelles><tutelle active="#struct-11769" type="direct"><org type="laboratory" xml:id="struct-11769" status="VALID"><orgName>Laboratoire Génie Industriel - EA 2606</orgName><orgName type="acronym">LGI</orgName><desc><address><addrLine>CentraleSupélec - Grande Voie des Vignes - 92295 Chatenay-Malabry</addrLine><country key="FR"></country></address><ref type="url">http://www.lgi.ecp.fr</ref></desc><listRelation><relation active="#struct-411575" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-411575" type="indirect"><org type="institution" xml:id="struct-411575" status="VALID"><orgName>CentraleSupélec</orgName><desc><address><addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.centralesupelec.fr</ref></desc></org></tutelle><tutelle active="#struct-161195" type="direct"><org type="laboratory" xml:id="struct-161195" status="VALID"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><orgName type="acronym">SSEC</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-300812" type="direct"></relation><relation active="#struct-300342" type="direct"></relation><relation active="#struct-411575" type="direct"></relation><relation active="#struct-302313" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-300812" type="indirect"><org type="institution" xml:id="struct-300812" status="VALID"><orgName>SUPELEC</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-300342" type="indirect"><org type="institution" xml:id="struct-300342" status="VALID"><orgName>Ecole Centrale Paris</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-302313" type="indirect"><org type="institution" xml:id="struct-302313" status="VALID"><orgName>Electricité de France</orgName><orgName type="acronym">EDF R&D</orgName><desc><address><addrLine>7 Boulevard Gaspard Monge91120 Palaiseau</addrLine><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation><country>France</country></affiliation></author><author><name sortKey="Prodan, Ionela" sort="Prodan, Ionela" uniqKey="Prodan I" first="Ionela" last="Prodan">Ionela Prodan</name><affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-391008" status="INCOMING"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-11769" type="direct"></relation><relation active="#struct-411575" type="indirect"></relation><relation active="#struct-161195" type="direct"></relation><relation active="#struct-300812" type="indirect"></relation><relation active="#struct-300342" type="indirect"></relation><relation active="#struct-302313" type="indirect"></relation></listRelation><tutelles><tutelle active="#struct-11769" type="direct"><org type="laboratory" xml:id="struct-11769" status="VALID"><orgName>Laboratoire Génie Industriel - EA 2606</orgName><orgName type="acronym">LGI</orgName><desc><address><addrLine>CentraleSupélec - Grande Voie des Vignes - 92295 Chatenay-Malabry</addrLine><country key="FR"></country></address><ref type="url">http://www.lgi.ecp.fr</ref></desc><listRelation><relation active="#struct-411575" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-411575" type="indirect"><org type="institution" xml:id="struct-411575" status="VALID"><orgName>CentraleSupélec</orgName><desc><address><addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.centralesupelec.fr</ref></desc></org></tutelle><tutelle active="#struct-161195" type="direct"><org type="laboratory" xml:id="struct-161195" status="VALID"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><orgName type="acronym">SSEC</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-300812" type="direct"></relation><relation active="#struct-300342" type="direct"></relation><relation active="#struct-411575" type="direct"></relation><relation active="#struct-302313" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-300812" type="indirect"><org type="institution" xml:id="struct-300812" status="VALID"><orgName>SUPELEC</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-300342" type="indirect"><org type="institution" xml:id="struct-300342" status="VALID"><orgName>Ecole Centrale Paris</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-302313" type="indirect"><org type="institution" xml:id="struct-302313" status="VALID"><orgName>Electricité de France</orgName><orgName type="acronym">EDF R&D</orgName><desc><address><addrLine>7 Boulevard Gaspard Monge91120 Palaiseau</addrLine><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation><country>France</country></affiliation></author><author><name sortKey="Zio, Enrico" sort="Zio, Enrico" uniqKey="Zio E" first="Enrico" last="Zio">Enrico Zio</name><affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-391008" status="INCOMING"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-11769" type="direct"></relation><relation active="#struct-411575" type="indirect"></relation><relation active="#struct-161195" type="direct"></relation><relation active="#struct-300812" type="indirect"></relation><relation active="#struct-300342" type="indirect"></relation><relation active="#struct-302313" type="indirect"></relation></listRelation><tutelles><tutelle active="#struct-11769" type="direct"><org type="laboratory" xml:id="struct-11769" status="VALID"><orgName>Laboratoire Génie Industriel - EA 2606</orgName><orgName type="acronym">LGI</orgName><desc><address><addrLine>CentraleSupélec - Grande Voie des Vignes - 92295 Chatenay-Malabry</addrLine><country key="FR"></country></address><ref type="url">http://www.lgi.ecp.fr</ref></desc><listRelation><relation active="#struct-411575" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-411575" type="indirect"><org type="institution" xml:id="struct-411575" status="VALID"><orgName>CentraleSupélec</orgName><desc><address><addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.centralesupelec.fr</ref></desc></org></tutelle><tutelle active="#struct-161195" type="direct"><org type="laboratory" xml:id="struct-161195" status="VALID"><orgName>Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec</orgName><orgName type="acronym">SSEC</orgName><desc><address><country key="FR"></country></address></desc><listRelation><relation active="#struct-300812" type="direct"></relation><relation active="#struct-300342" type="direct"></relation><relation active="#struct-411575" type="direct"></relation><relation active="#struct-302313" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-300812" type="indirect"><org type="institution" xml:id="struct-300812" status="VALID"><orgName>SUPELEC</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-300342" type="indirect"><org type="institution" xml:id="struct-300342" status="VALID"><orgName>Ecole Centrale Paris</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-302313" type="indirect"><org type="institution" xml:id="struct-302313" status="VALID"><orgName>Electricité de France</orgName><orgName type="acronym">EDF R&D</orgName><desc><address><addrLine>7 Boulevard Gaspard Monge91120 Palaiseau</addrLine><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation><country>France</country></affiliation></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The paper deals with the resilience analysis of critical infrastructure systems. An infrastructure sys-tem is a network of subsystems, which inter-operate through dependencies of various types. The interac-tion and dependency among the subsystems make the entire infrastructure system more complex and possibly vulnerable. We interpret resilience as a sys-tem property related to the prevention of, robustness to and recovery from undesired disturbances and events. Such resilience property of interconnected systems depends also on their structure and design parameters. In this paper, we abstract the structure of the sys-tem by a directed graph. A state dynamics is associ-ated to each of the subsystems, with interdependent terms that can represent different types of interde-pendencies. The system response to undesired dis-turbances and events could, then, be analyzed using notions from set theory, to identify regions of opera-tion and recoverable or non-recoverable conditions. Moreover, a characterization of the system resilience as a function of the design parameters can be pro-vided, which is useful for resilient design and opera-tion purposes. The benefits of the proposed approach are highlighted through an illustrative, numerical application.</div></front></TEI><affiliations><list><country><li>France</li></country></list><tree><country name="France"><noRegion><name sortKey="Liu, Xing" sort="Liu, Xing" uniqKey="Liu X" first="Xing" last="Liu">Xing Liu</name></noRegion><name sortKey="Prodan, Ionela" sort="Prodan, Ionela" uniqKey="Prodan I" first="Ionela" last="Prodan">Ionela Prodan</name><name sortKey="Zio, Enrico" sort="Zio, Enrico" uniqKey="Zio E" first="Enrico" last="Zio">Enrico Zio</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Musique/explor/OperaV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000282 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000282 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Musique
|area= OperaV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= Hal:hal-01108219
|texte= On the Resilience Analysis of Interconnected Systems By a Set-Theoretic Approach
}}
| This area was generated with Dilib version V0.6.21. |  |