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Volumn 16, Issue 6, 2010, Pages 624-641

Approximate model checking of stochastic hybrid systems

Author keywords

Model Checking; Probabilistic Invariance; Stochastic Hybrid Systems

Indexed keywords

CHAINS; HYBRID SYSTEMS; MARKOV PROCESSES; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

EID: 79952170727     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.3166/ejc.16.624-641     Document Type: Article
Times cited : (169)

References (32)
  • 1
    • 38049096324 scopus 로고    scopus 로고
    • Computational approaches to reachability analysis of stochastic hybrid systems
    • In Bemporad A, Bicchi A, Buttazzo G, editors, in Lecture Notes in Computer Sciences, Springer-Verlag, Berlin
    • Abate A, Amin S, Prandini M, Lygeros J, Sastry S. Computational approaches to reachability analysis of stochastic hybrid systems. In Bemporad A, Bicchi A, Buttazzo G, editors, Hybrid Systems: Computation and Control, number 4416 in Lecture Notes in Computer Sciences, pages 4-17. Springer-Verlag, Berlin, 2007.
    • (2007) Hybrid Systems: Computation and Control , Issue.4416 , pp. 4-17
    • Abate, A.1    Amin, S.2    Prandini, M.3    Lygeros, J.4    Sastry, S.5
  • 2
    • 52349103145 scopus 로고    scopus 로고
    • Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems
    • Abate A, Prandini M, Lygeros J, Sastry S. Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems. Automatica 44(11): 2724-2734, 2008.
    • (2008) Automatica , vol.44 , Issue.11 , pp. 2724-2734
    • Abate, A.1    Prandini, M.2    Lygeros, J.3    Sastry, S.4
  • 4
    • 0028413052 scopus 로고
    • A theory of timed automata
    • Alur R, Dill D. A theory of timed automata. Theor Comput Sci 126: 183-235, 1994.
    • (1994) Theor Comput Sci , vol.126 , pp. 183-235
    • Alur, R.1    Dill, D.2
  • 7
    • 41149144239 scopus 로고    scopus 로고
    • Approximate symbolic model checking of continous-time Markov chains
    • In Baeten JCM, Mauw S, editors, in Lecture Notes in Computer Sciences, Springer-Verlag, Berlin
    • Baier C, Katoen J-P, Hermanns H. Approximate symbolic model checking of continous-time Markov chains. In Baeten JCM, Mauw S, editors, Concurrency Theory, number 1664 in Lecture Notes in Computer Sciences, pages 146-162. Springer-Verlag, Berlin, 1999.
    • (1999) Concurrency Theory , Issue.1664 , pp. 146-162
    • Baier, C.1    Katoen, J.-P.2    Hermanns, H.3
  • 8
    • 0016515669 scopus 로고
    • Convergence of discretization procedures in dynamic programming
    • Bertsekas DP. Convergence of discretization procedures in dynamic programming. IEEE Trans Autom Control 20(3): 415-419, 1975.
    • (1975) IEEE Trans Autom Control , vol.20 , Issue.3 , pp. 415-419
    • Bertsekas, D.P.1
  • 10
    • 85180894534 scopus 로고    scopus 로고
    • Blom HAP, Lygeros J (eds.)., in Lecture Notes in Control and Information Sciences. Springer-Verlag, Berlin
    • Blom HAP, Lygeros J (eds.). Stochastic Hybrid Systems: Theory and Safety Critical Applications. Number 337 in Lecture Notes in Control and Information Sciences. Springer-Verlag, Berlin, 2006.
    • (2006) Stochastic Hybrid Systems: Theory and Safety Critical Applications , Issue.337
  • 11
    • 35048857490 scopus 로고    scopus 로고
    • Extended stochastic hybrid systems and their reachability problem
    • In Alur R, Pappas GJ, editors, in Lecture Notes in Computer Sciences, Springer- Verlag, Berlin
    • Bujorianu M. Extended stochastic hybrid systems and their reachability problem. In Alur R, Pappas GJ, editors, Hybrid Systems: Computation and Control, number 2993 in Lecture Notes in Computer Sciences, pages 234-249. Springer- Verlag, Berlin, 2004.
    • (2004) Hybrid Systems: Computation and Control , Issue.2993 , pp. 234-249
    • Bujorianu, M.1
  • 12
    • 35248884760 scopus 로고    scopus 로고
    • Reachability questions in piecewise deterministic Markov processes
    • In Maler O, Pnueli A, editors, in Lecture Notes in Computer Sciences, Springer-Verlag, Berlin
    • Bujorianu ML, Lygeros J. Reachability questions in piecewise deterministic Markov processes. In Maler O, Pnueli A, editors, Hybrid Systems: Computation and Control, number 2623 in Lecture Notes in Computer Sciences, pages 126-140. Springer-Verlag, Berlin, 2003.
    • (2003) Hybrid Systems: Computation and Control , Issue.2623 , pp. 126-140
    • Bujorianu, M.L.1    Lygeros, J.2
  • 13
    • 36049008313 scopus 로고    scopus 로고
    • Cassandras CG, Lygeros J (eds.), Number 24 in Control Engineering. CRC Press, Boca Raton
    • Cassandras CG, Lygeros J (eds.). Stochastic Hybrid Systems. Number 24 in Control Engineering. CRC Press, Boca Raton, 2006.
    • (2006) Stochastic Hybrid Systems
  • 15
    • 84976740260 scopus 로고
    • The complexity of probabilistic verification
    • Courcoubetis C, Yannakakis M. The complexity of probabilistic verification. J ACM 42(4): 857-907, 1995.
    • (1995) J ACM , vol.42 , Issue.4 , pp. 857-907
    • Courcoubetis, C.1    Yannakakis, M.2
  • 19
    • 70350018305 scopus 로고    scopus 로고
    • Stochastic satisfiability modulo theory: A novel technique for the analysis of probabilistic hybrid systems
    • In Egerstedt M, Misra B, editors, Berlin, Heidelberg, Springer-Verlag
    • Fränzle M, Hermanns H, Teige T. Stochastic satisfiability modulo theory: A novel technique for the analysis of probabilistic hybrid systems. In Egerstedt M, Misra B, editors, Hybrid Systems: Computation and Control, pages 172-186, Berlin, Heidelberg, 2008. Springer-Verlag. 21
    • (2008) Hybrid Systems: Computation and Control , vol.21 , pp. 172-186
    • Fränzle, M.1    Hermanns, H.2    Teige, T.3
  • 20
    • 0003096318 scopus 로고
    • A logic for reasoning about time and reliability
    • Hansson H, Jonsson B. A logic for reasoning about time and reliability. Form Asp Comput 6(5): 512-535, 1994.
    • (1994) Form Asp Comput , vol.6 , Issue.5 , pp. 512-535
    • Hansson, H.1    Jonsson, B.2
  • 23
    • 33745777189 scopus 로고    scopus 로고
    • Computational methods for reachability analysis of stochastic hybrid systems
    • In Hespanha J, Tiwari A, editors, in Lecture Notes in Computer Sciences, Springer-Verlag, Berlin
    • Koutsoukos K, Riley D. Computational methods for reachability analysis of stochastic hybrid systems. In Hespanha J, Tiwari A, editors, Hybrid Systems: Computation and Control, number 3927 in Lecture Notes in Computer Sciences, pages 377-391. Springer-Verlag, Berlin, 2006.
    • (2006) Hybrid Systems: Computation and Control , Issue.3927 , pp. 377-391
    • Koutsoukos, K.1    Riley, D.2
  • 26
    • 84885235139 scopus 로고    scopus 로고
    • Verifying quantitative properties of continuous probabilistic timed automata
    • In, in Lecture Notes in Computer Sciences, Springer-Verlag, Berlin
    • Kwiatkowska M, Norman G, Segala R, Sproston J. Verifying quantitative properties of continuous probabilistic timed automata. In CONCUR'00, number 1877 in Lecture Notes in Computer Sciences, pages 123-137. Springer-Verlag, Berlin, 2000.
    • (2000) CONCUR'00 , Issue.1877 , pp. 123-137
    • Kwiatkowska, M.1    Norman, G.2    Segala, R.3    Sproston, J.4
  • 28
    • 0022118190 scopus 로고
    • Electric load model synthesis by diffusion approximation of a high-order hybrid-state stochastic system
    • Malhame R, Chong C-Y. Electric load model synthesis by diffusion approximation of a high-order hybrid-state stochastic system. IEEE Trans Autom Control 30(9): 854-860, 1985.
    • (1985) IEEE Trans Autom Control , vol.30 , Issue.9 , pp. 854-860
    • Malhame, R.1    Chong, C.-Y.2
  • 31
    • 34548207741 scopus 로고    scopus 로고
    • A framework for worstcase and stochastic safety verification using barrier certificates
    • Prajna S, Jadbabaie A, Pappas GJ. A framework for worstcase and stochastic safety verification using barrier certificates. IEEE Trans Autom Control 52(8): 1415-1428, 2007.
    • (2007) IEEE Trans Autom Control , vol.52 , Issue.8 , pp. 1415-1428
    • Prajna, S.1    Jadbabaie, A.2    Pappas, G.J.3
  • 32
    • 85056314263 scopus 로고    scopus 로고
    • Stochastic reachability: Theory and numerical approximation
    • In Cassandras CG, Lygeros J, editors, Taylor & Automation and Control Engineering Series 24, Francis Group/CRC Press
    • Prandini M, Hu J. Stochastic reachability: Theory and numerical approximation. In Cassandras CG, Lygeros J, editors, Stochastic hybrid systems, Automation and Control Engineering Series 24, pages 107-138. Taylor & Francis Group/CRC Press, 2006.
    • (2006) Stochastic hybrid systems , pp. 107-138
    • Prandini, M.1    Hu, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.