Abstraction based reachability analysis for finite branching stochastic hybrid systems
In this paper, we address the problem of computing the probability of reaching a desired set in a subclass of stochastic hybrid systems, wherein the stochasticity arises from the randomness of the initial distribution of continuous states, and the probabilistic transitions in the underlying finite s...
Uložené v:
| Vydané v: | 2017 ACM IEEE 8th International Conference on Cyber Physical Systems (ICCPS) s. 121 - 130 |
|---|---|
| Hlavní autori: | , , |
| Médium: | Konferenčný príspevok.. |
| Jazyk: | English |
| Vydavateľské údaje: |
New York, NY, USA
ACM
18.04.2017
|
| Edícia: | ACM Other Conferences |
| Predmet: | |
| ISBN: | 9781450349659, 145034965X |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | In this paper, we address the problem of computing the probability of reaching a desired set in a subclass of stochastic hybrid systems, wherein the stochasticity arises from the randomness of the initial distribution of continuous states, and the probabilistic transitions in the underlying finite state Markov chain. In particular, the continuous dynamics is deterministic for each mode and hence, there are finitely many probabilistic successors for a given state. We exploit this property and extend a partition based abstraction technique developed for finite state systems to the stochastic hybrid system setting. We prove the correctness of our algorithm by defining appropriate simulation relations that relate the stochastic hybrid system to a finite state "generalized" probabilistic transition system that we obtain as a result of abstraction. We show that the simulation relation defined provides upper and lower bounds on the probability of reachability. In particular, tighter bounds can be obtained by refining the partition. We apply our algorithm to automatically analyze a smart home application. |
|---|---|
| AbstractList | In this paper, we address the problem of computing the probability of reaching a desired set in a subclass of stochastic hybrid systems, wherein the stochasticity arises from the randomness of the initial distribution of continuous states, and the probabilistic transitions in the underlying finite state Markov chain. In particular, the continuous dynamics is deterministic for each mode and hence, there are finitely many probabilistic successors for a given state. We exploit this property and extend a partition based abstraction technique developed for finite state systems to the stochastic hybrid system setting. We prove the correctness of our algorithm by defining appropriate simulation relations that relate the stochastic hybrid system to a finite state ``generalized" probabilistic transition system that we obtain as a result of abstraction. We show that the simulation relation defined provides upper and lower bounds on the probability of reachability. In particular, tighter bounds can be obtained by refining the partition. We apply our algorithm to automatically analyze a smart home application. |
| Author | Prabhakar, Pavithra Natarajan, Balasubramaniam Zhang, Wenji |
| Author_xml | – sequence: 1 givenname: Wenji surname: Zhang fullname: Zhang, Wenji email: wenjizhang@ksu.edu organization: Kansas State University – sequence: 2 givenname: Pavithra surname: Prabhakar fullname: Prabhakar, Pavithra email: pprabhakar@ksu.edu organization: Kansas State University – sequence: 3 givenname: Balasubramaniam surname: Natarajan fullname: Natarajan, Balasubramaniam email: bala@ksu.edu organization: Kansas State University |
| BookMark | eNqNkDtPAzEQhI0ACQipKWhc0uTYO9uxXUYRAaRINEBr-UkMiQ_Zbu7fcyGpqKhGq9lZzX5X6Cz1ySN000LTtpTdE2AMgDa_2pETNJVcjAYQKudMnv6ZL9C0lE8AaCUVhJBL9L4wpWZta-wTNrp4h7PXdqNN3MY6YJ30diix4NBnHGKK1WOTdbKbmD5wqf24Wmq0eDOYHB0uQ6l-V67RedDb4qdHnaC31cPr8mm2fnl8Xi7WM91RXmcieNMBdRIs594GogEE0S4wRl0XbBhrSmJEa6hwRjBr5yApJ44z1_HQkQm6PdyN3nv1neNO50FxOX4Me7c5uNrulOn7r6JaUHtw6ghOHcGpsbwPY-DunwHyA6yxbg0 |
| CODEN | IEEPAD |
| ContentType | Conference Proceeding |
| Copyright | 2017 ACM |
| Copyright_xml | – notice: 2017 ACM |
| DBID | 6IE 6IL CBEJK RIE RIL |
| DOI | 10.1145/3055004.3055023 |
| DatabaseName | IEEE Electronic Library (IEL) Conference Proceedings IEEE Xplore POP ALL IEEE Xplore All Conference Proceedings IEEE/IET Electronic Library IEEE Proceedings Order Plans (POP All) 1998-Present |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: RIE name: IEEE Electronic Library (IEL) url: https://ieeexplore.ieee.org/ sourceTypes: Publisher |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISBN | 9781450349659 145034965X |
| EndPage | 130 |
| ExternalDocumentID | 7945002 |
| Genre | orig-research |
| GroupedDBID | 6IE 6IF 6IK 6IL 6IN AAJGR ABLEC ACM ADPZR ALMA_UNASSIGNED_HOLDINGS APO BEFXN BFFAM BGNUA BKEBE BPEOZ CBEJK GUFHI IEGSK OCL RIB RIC RIE RIL AAWTH LHSKQ |
| ID | FETCH-LOGICAL-a247t-8feb204d90c77ecf3a0083adf554d2fcf94893b81b48db85cc609473d75d27f23 |
| IEDL.DBID | RIE |
| ISBN | 9781450349659 145034965X |
| ISICitedReferencesCount | 6 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000424191900016&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| IngestDate | Wed Aug 27 02:15:01 EDT 2025 Wed Jan 31 06:43:20 EST 2024 |
| IsPeerReviewed | false |
| IsScholarly | false |
| Keywords | generalized probabilistic transition system abstraction based analysis infinite state Markov chain reachability stochastic hybrid system |
| Language | English |
| License | Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from Permissions@acm.org |
| LinkModel | DirectLink |
| MeetingName | ICCPS '17: ACM/IEEE 8th International Conference on Cyber-Physical Systems |
| MergedId | FETCHMERGED-LOGICAL-a247t-8feb204d90c77ecf3a0083adf554d2fcf94893b81b48db85cc609473d75d27f23 |
| PageCount | 10 |
| ParticipantIDs | acm_books_10_1145_3055004_3055023 ieee_primary_7945002 acm_books_10_1145_3055004_3055023_brief |
| PublicationCentury | 2000 |
| PublicationDate | 20170418 2017-April |
| PublicationDateYYYYMMDD | 2017-04-18 2017-04-01 |
| PublicationDate_xml | – month: 04 year: 2017 text: 20170418 day: 18 |
| PublicationDecade | 2010 |
| PublicationPlace | New York, NY, USA |
| PublicationPlace_xml | – name: New York, NY, USA |
| PublicationSeriesTitle | ACM Other Conferences |
| PublicationTitle | 2017 ACM IEEE 8th International Conference on Cyber Physical Systems (ICCPS) |
| PublicationTitleAbbrev | ICCPS |
| PublicationYear | 2017 |
| Publisher | ACM |
| Publisher_xml | – name: ACM |
| SSID | ssj0001948333 |
| Score | 1.6742413 |
| Snippet | In this paper, we address the problem of computing the probability of reaching a desired set in a subclass of stochastic hybrid systems, wherein the... |
| SourceID | ieee acm |
| SourceType | Publisher |
| StartPage | 121 |
| SubjectTerms | abstraction based analysis Computational modeling Cyber-physical systems generalized probabilistic transition system infinite state markov chain Markov processes Partitioning algorithms Probabilistic logic reachability Reachability analysis Software and its engineering -- Software organization and properties -- Software functional properties -- Formal methods stochastic hybrid system Theory of computation -- Logic -- Abstraction Theory of computation -- Logic -- Automated reasoning Theory of computation -- Logic -- Verification by model checking Theory of computation -- Models of computation -- Probabilistic computation |
| Title | Abstraction based reachability analysis for finite branching stochastic hybrid systems |
| URI | https://ieeexplore.ieee.org/document/7945002 |
| WOSCitedRecordID | wos000424191900016&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 | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8NAEB5q8aAXH61YX6wgeDFt89zN0YqlBynFR-ltSfYBHmylTYX-e2c2sVUQxFOWsLBkmGW-mcz3DcCVHxur8xzTkoRHXmRF6okw8z3f6sTH5M0IN4ds_MCHQzGZpKMa3Ky5MMYY13xm2rR0__L1TC2pVNZB34mdcuQW50nJ1drUU9JIhGFYqff4UdwhLSt0gbZ7unFEmXr7MUTFxZD-3v9O34fmhozHRuswcwA1Mz2E3W86gg0Y3-ZUsXAUBdbDuKTZI3VJlhrcK_alPMIQobL-K8FM1qOJGlR-Yk_FDLeSXjMbrIjAxSoZ8ya89O-f7wZeNTDBy4KIF56wmCd3I512FedG2TAjhJVpi5hBB1bZlKRmckSqkdC5iJVKMLvjoeaxDrgNwiOoT2dTcwyMbqdQge8whhImV6TcligM9wZBedqCS7SmpExgIUtycywri8vK4i24_nOPxM8ytgUNsrd8LxU2ZGXqk99fn8JOQMHV9c-cQb2YL805bKuP4nUxv3Bu8QnJErOz |
| linkProvider | IEEE |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8NAEB5KFdSLj1aszxUEL6Ztkk2yOVqxVKylaC29Lck-oAdbaVOh_96dTWwVBPGUJSwsGWaZbybzfQNw5QZKyzQ1aUkYUYdqFjvMT1zH1TJ0TfKmmJ1DNuxGvR4bjeJ-CW5WXBillG0-U3Vc2n_5cioWWCprGN8JrHLkRkCp18zZWuuKSkyZ7_uFfo9LgwaqWRknqNunHUiUiLcfY1RsFGnv_u_8Paiu6Xikvwo0-1BSkwPY-aYkWIHhbYo1C0tSIC0TmSR5xj7JXIV7Sb60R4jBqKQ9RqBJWjhTAwtQ5CWbmq2o2Ew6S6RwkULIvAqv7fvBXccpRiY4iUejzGHaZMpNKuOmiCIltJ8gxkqkNqhBelroGMVmUoNVKZMpC4QITX4X-TIKpBdpzz-E8mQ6UUdA8H4y4bkWZQimUoHabaEwAV8ZWB7X4NJYk2MuMOc5vTnghcV5YfEaXP-5h5vPUroGFbQ3f881Nnhh6uPfX1_AVmfw1OXdh97jCWx7GGptN80plLPZQp3BpvjIxvPZuXWRT1KZtvo |
| 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%3Abook&rft.genre=proceeding&rft.title=2017+ACM+IEEE+8th+International+Conference+on+Cyber+Physical+Systems+%28ICCPS%29&rft.atitle=Abstraction+Based+Reachability+Analysis+for+Finite+Branching+Stochastic+Hybrid+Systems&rft.au=Wenji+Zhang&rft.au=Prabhakar%2C+Pavithra&rft.au=Natarajan%2C+Balasubramaniam&rft.date=2017-04-01&rft.pub=ACM&rft.spage=121&rft.epage=130&rft_id=info:doi/10.1145%2F3055004.3055023&rft.externalDocID=7945002 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9781450349659/lc.gif&client=summon&freeimage=true |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9781450349659/mc.gif&client=summon&freeimage=true |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=9781450349659/sc.gif&client=summon&freeimage=true |