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Volumn , Issue , 2008, Pages 2260-2265

Level set methods for computing reachable sets of systems with differential algebraic equation dynamics

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN ALGEBRA; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DROP BREAKUP; DYNAMICS; ELECTRIC POWER SYSTEMS; KETONES; LEVEL MEASUREMENT; MATRIX ALGEBRA; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SET THEORY; STATE SPACE METHODS;

EID: 52449133763     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4586828     Document Type: Conference Paper
Times cited : (19)

References (15)
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    • Comparing forward and backward reachability as tools for safety analysis
    • Hybrid Systems: Computation and Control, A. Bemporad, A. Bicchi, and G. Buttazzo, Eds. Springer Verlag
    • I. M. Mitchell, "Comparing forward and backward reachability as tools for safety analysis," in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science, A. Bemporad, A. Bicchi, and G. Buttazzo, Eds. Springer Verlag, 2007, no. 4416, pp. 428-443.
    • (2007) ser. Lecture Notes in Computer Science , Issue.4416 , pp. 428-443
    • Mitchell, I.M.1
  • 2
    • 23144463781 scopus 로고    scopus 로고
    • A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games
    • I. M. Mitchell, A. M. Bayen, and C. J. Tomlin, "A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games," IEEE Transactions on Automatic Control, vol. 50, no. 7, pp. 947-957, 2005.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.7 , pp. 947-957
    • Mitchell, I.M.1    Bayen, A.M.2    Tomlin, C.J.3
  • 3
    • 24344458586 scopus 로고    scopus 로고
    • A toolbox of Hamilton-Jacobi solvers for analysis of nondeterministic continuous and hybrid systems
    • Hybrid Systems: Computation and Control, M. Morari and L. Thiele, Eds. Springer Verlag
    • I. M. Mitchell and J. A. Templeton, "A toolbox of Hamilton-Jacobi solvers for analysis of nondeterministic continuous and hybrid systems," in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science, M. Morari and L. Thiele, Eds. Springer Verlag, 2005, no. 3414, pp. 480-494.
    • (2005) ser. Lecture Notes in Computer Science , Issue.3414 , pp. 480-494
    • Mitchell, I.M.1    Templeton, J.A.2
  • 4
    • 52449134703 scopus 로고    scopus 로고
    • Available
    • [Online]. Available: http://www.cs.ubc.ca/~mitchell/ToolboxLS
  • 6
    • 0033190030 scopus 로고    scopus 로고
    • Solving index-1 DAEs in MATLAB and Simulink
    • L. F. Shampine, M. W. Reichelt, and J. A. Kierzenka, "Solving index-1 DAEs in MATLAB and Simulink," SIAM Review, vol. 41, no. 3, pp. 538-552, 1999.
    • (1999) SIAM Review , vol.41 , Issue.3 , pp. 538-552
    • Shampine, L.F.1    Reichelt, M.W.2    Kierzenka, J.A.3
  • 7
    • 33750910730 scopus 로고    scopus 로고
    • Verification of analog and mixed-signal circuits using hybrid system techniques
    • Formal Methods in Computer-Aided Design, A. J. Hu and A. K. Martin, Eds. Springer Verlag
    • T. Dang, A. Donzé, and O. Maler, "Verification of analog and mixed-signal circuits using hybrid system techniques," in Formal Methods in Computer-Aided Design, ser. Lecture Notes in Computer Science, A. J. Hu and A. K. Martin, Eds. Springer Verlag, 2004, no. 3312, pp. 21-36.
    • (2004) ser. Lecture Notes in Computer Science , Issue.3312 , pp. 21-36
    • Dang, T.1    Donzé, A.2    Maler, O.3
  • 10
    • 37249003717 scopus 로고    scopus 로고
    • A simple embedding method for solving partial differential equations on surfaces
    • S. J. Ruuth and B. Merriman, "A simple embedding method for solving partial differential equations on surfaces," Journal of Computational Physics, vol. 227, pp. 1943-1961, 2008.
    • (2008) Journal of Computational Physics , vol.227 , pp. 1943-1961
    • Ruuth, S.J.1    Merriman, B.2
  • 11
    • 52449110683 scopus 로고    scopus 로고
    • Solving reachable sets on a manifold,
    • Master's thesis, Department of Computer Science, University of British Columbia, August
    • E. A. Cross, "Solving reachable sets on a manifold," Master's thesis, Department of Computer Science, University of British Columbia, August 2007.
    • (2007)
    • Cross, E.A.1
  • 12
    • 84877415686 scopus 로고
    • Voltage dynamics: Study of a generator with voltage control, transmission, and matched MW load
    • November
    • V. Venkatasubramanian, H. Schättler, and J. Zaborszky, "Voltage dynamics: Study of a generator with voltage control, transmission, and matched MW load," IEEE Transactions on Automatic Control, vol. 37, no. 11, pp. 1717-1733, November 1992.
    • (1992) IEEE Transactions on Automatic Control , vol.37 , Issue.11 , pp. 1717-1733
    • Venkatasubramanian, V.1    Schättler, H.2    Zaborszky, J.3
  • 13
    • 42949101339 scopus 로고    scopus 로고
    • Predicting voltage instability of power system via hybrid system reachability analysis
    • New York, NY
    • Y. Susuki and T. Hikihara, "Predicting voltage instability of power system via hybrid system reachability analysis," in Proceedings of the American Control Conference, New York, NY, 2007, pp. 4166-4171.
    • (2007) Proceedings of the American Control Conference , pp. 4166-4171
    • Susuki, Y.1    Hikihara, T.2
  • 14
    • 0002108952 scopus 로고    scopus 로고
    • The fast construction of extension velocities in level set methods
    • D. Adalsteinsson and J. A. Sethian, "The fast construction of extension velocities in level set methods," Journal of Computational Physics, vol. 148, pp. 2-22, 1999.
    • (1999) Journal of Computational Physics , vol.148 , pp. 2-22
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 15
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    • Level set methods for computing reachable sets of hybrid systems with differential algebraic equation dynamics
    • to appear in, 4 pages
    • I. M. Mitchell and Y. Susuki, "Level set methods for computing reachable sets of hybrid systems with differential algebraic equation dynamics," to appear in Hybrid Systems Computation and Control 2008, 4 pages.
    • (2008) Hybrid Systems Computation and Control
    • Mitchell, I.M.1    Susuki, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.