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Volumn , Issue , 2010, Pages 1035-1040

Discrete abstraction of stochastic nonlinear systems: A bisimulation function approach

Author keywords

[No Author keywords available]

Indexed keywords

ABSTRACTING; CONVEX OPTIMIZATION; NONLINEAR SYSTEMS; STOCHASTIC SYSTEMS;

EID: 77957778553     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2010.5530747     Document Type: Conference Paper
Times cited : (6)

References (20)
  • 1
    • 0242366144 scopus 로고    scopus 로고
    • Bisimilar linear systems
    • G.J. Pappas, "Bisimilar linear systems," Automatica, Vol. 39, No. 12, pp. 2035-2047, 2003.
    • (2003) Automatica , vol.39 , Issue.12 , pp. 2035-2047
    • Pappas, G.J.1
  • 2
    • 11044229094 scopus 로고    scopus 로고
    • Equivalence of dynamical systems by bisimulation
    • A.J. van der Schaft, "Equivalence of dynamical systems by bisimulation," IEEE Transactions on Automatic Control, Vol. 49, No. 12, pp. 2160-2172, 2004.
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.12 , pp. 2160-2172
    • Van Der Schaft, A.J.1
  • 3
    • 34249005820 scopus 로고    scopus 로고
    • Approximation metrics for discrete and continuous systems
    • A. Girard and G.J. Pappas, "Approximation metrics for discrete and continuous systems," IEEE Transactions on Automatic Control, Vol. 52, No. 5, pp. 782-798, 2007.
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.5 , pp. 782-798
    • Girard, A.1    Pappas, G.J.2
  • 4
    • 24344480544 scopus 로고    scopus 로고
    • Bisimulation for general stochastic hybrid systems
    • Hybrid Systems: Computation and Control - 8th International Workshop, HSCC 2005
    • M.L. Bujorianu, J. Lygeros, and M.C. Bujorianu, "Bisimulation for general stochastic hybrid systems," Hybrid Systems: Computation and Control, M. Morari and L. Thiele, Eds., Lecture Notes in Computer Science 3414, pp. 198-214, 2005. (Pubitemid 41252068)
    • (2005) Lecture Notes in Computer Science , vol.3414 , pp. 198-214
    • Bujorianu, M.L.1    Lygeros, J.2    Bujorianu, M.C.3
  • 5
    • 24344439368 scopus 로고    scopus 로고
    • Bisimulation for Communicating Piecewise Deterministic Markov Processes (CPDPs)
    • Hybrid Systems: Computation and Control - 8th International Workshop, HSCC 2005
    • S. Strubbe and A.J. van der Schaft, "Bisimulation for communicating piecewise deterministic Markov processes (CPDPs)," Hybrid Systems: Computation and Control, M. Morari and L. Thiele, Eds., Lecture Notes in Computer Science 3414, pp. 623-639, 2005. (Pubitemid 41252095)
    • (2005) Lecture Notes in Computer Science , vol.3414 , pp. 623-639
    • Strubbe, S.1    Van Schaft, A.D.2
  • 8
    • 0036576222 scopus 로고    scopus 로고
    • Consistent abstractions of affine control systems
    • G.J. Pappas and S. Simić, "Consistent abstractions of affine control systems," IEEE Transactions on Automatic Control, Vol. 47, No. 5, pp. 745-756, 2002.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.5 , pp. 745-756
    • Pappas, G.J.1    Simić, S.2
  • 9
    • 58349111885 scopus 로고    scopus 로고
    • Hierarchical control system design using approximate simulation
    • A. Girard and G.J. Pappas, "Hierarchical control system design using approximate simulation," Automatica, Vol. 45, No. 2, pp. 566-571, 2009.
    • (2009) Automatica , vol.45 , Issue.2 , pp. 566-571
    • Girard, A.1    Pappas, G.J.2
  • 10
    • 33745728854 scopus 로고    scopus 로고
    • Symbolic control of linear systems based on symbolic subsystems
    • DOI 10.1109/TAC.2006.876946
    • P. Tabuada, "Symbolic control of linear systems based on symbolic subsystems," IEEE Transactions on Automatic Control, Vol. 51, No. 6, pp. 1003-1013, 2006. (Pubitemid 43997249)
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.6 , pp. 1003-1013
    • Tabuada, P.1
  • 12
    • 51449099982 scopus 로고    scopus 로고
    • An approximate simulation approach to symbolic control
    • P. Tabuada, "An approximate simulation approach to symbolic control," IEEE Transactions on Automatic Control, Vol. 53, No. 6, pp. 1406-1418, 2008.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , Issue.6 , pp. 1406-1418
    • Tabuada, P.1
  • 13
    • 52949140552 scopus 로고    scopus 로고
    • Approximately bisimilar symbolic models for nonlinear control systems
    • G. Pola, A. Girard, and P. Tabuada, "Approximately bisimilar symbolic models for nonlinear control systems," Automatica, Vol. 44, No. 10, pp. 2508-2516, 2008.
    • (2008) Automatica , vol.44 , Issue.10 , pp. 2508-2516
    • Pola, G.1    Girard, A.2    Tabuada, P.3
  • 14
    • 70350029845 scopus 로고    scopus 로고
    • Bisimilar finite abstractions of interconnected systems
    • M. Egerstedt and B. Mishra, Eds. Lecture Notes in Computer Science 4981
    • Y. Tazaki and J. Imura, "Bisimilar finite abstractions of interconnected systems," Hybrid Systems: Computation and Control, M. Egerstedt and B. Mishra, Eds., Lecture Notes in Computer Science 4981, pp. 514- 527, 2008.
    • (2008) Hybrid Systems: Computation and Control , pp. 514-527
    • Tazaki, Y.1    Imura, J.2
  • 15
    • 67650164752 scopus 로고    scopus 로고
    • Discrete-state abstractions of nonlinear systems using multi-resolution quantizer
    • R. Majumdar and P. Tabuada, Eds. Lecture Notes in Computer Science 5469
    • Y. Tazaki and J. Imura, "Discrete-state abstractions of nonlinear systems using multi-resolution quantizer," Hybrid Systems: Computation and Control, R. Majumdar and P. Tabuada, Eds., Lecture Notes in Computer Science 5469, pp. 351-365, 2009.
    • (2009) Hybrid Systems: Computation and Control , pp. 351-365
    • Tazaki, Y.1    Imura, J.2
  • 16
    • 67649595783 scopus 로고    scopus 로고
    • Approximations of stochastic hybrid systems
    • A.A. Julius and G.J. Pappas, "Approximations of stochastic hybrid systems," IEEE Transactions on Automatic Control, Vol. 54, No. 6, pp. 1193-1203, 2009.
    • (2009) IEEE Transactions on Automatic Control , vol.54 , Issue.6 , pp. 1193-1203
    • Julius, A.A.1    Pappas, G.J.2
  • 20
    • 1542266056 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for semialgebraic problems
    • P.A. Parrilo, "Semidefinite programming relaxations for semialgebraic problems," Mathematical Programming Ser. B, Vol. 96, No. 2, pp. 293-320, 2003.
    • (2003) Mathematical Programming Ser. B , vol.96 , Issue.2 , pp. 293-320
    • Parrilo, P.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.