메뉴 건너뛰기




Volumn , Issue , 2011, Pages 6814-6821

Zonotope bundles for the efficient computation of reachable sets

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS;

EID: 84860643564     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2011.6160872     Document Type: Conference Paper
Times cited : (115)

References (32)
  • 1
    • 0015143913 scopus 로고
    • Control of linear dynamic systems with set constrained disturbances
    • J. D. Glover and F. C. Schweppe, "Control of linear dynamic systems with set constrained disturbances," IEEE Transactions on Automatic Control, vol. 16, no. 5, pp. 411-423, 1971.
    • (1971) IEEE Transactions on Automatic Control , vol.16 , Issue.5 , pp. 411-423
    • Glover, J.D.1    Schweppe, F.C.2
  • 4
    • 0015330733 scopus 로고
    • Continuous-time state estimation under disturbances bounded by convex sets
    • F. M. Schlaepfer and F. C. Schweppe, "Continuous-time state estimation under disturbances bounded by convex sets," IEEE Transactions on Automatic Control, vol. 17, no. 2, pp. 197-205, 1972.
    • (1972) IEEE Transactions on Automatic Control , vol.17 , Issue.2 , pp. 197-205
    • Schlaepfer, F.M.1    Schweppe, F.C.2
  • 7
    • 24344447320 scopus 로고    scopus 로고
    • PHAVer: Algorithmic verification of hybrid systems past HyTech
    • Springer
    • G. Frehse, "PHAVer: Algorithmic verification of hybrid systems past HyTech." in Hybrid Systems: Computation and Control, ser. LNCS 3413. Springer, 2005, pp. 258-273.
    • (2005) Hybrid Systems: Computation and Control, Ser. LNCS 3413 , pp. 258-273
    • Frehse, G.1
  • 8
    • 0035193272 scopus 로고    scopus 로고
    • Symbolic reachability computation for families of linear vector fields
    • G. Lafferriere, G. J. Pappas, and S. Yovine, "Symbolic reachability computation for families of linear vector fields," Symbolic Computation, vol. 32, pp. 231-253, 2001.
    • (2001) Symbolic Computation , vol.32 , pp. 231-253
    • Lafferriere, G.1    Pappas, G.J.2    Yovine, S.3
  • 11
    • 1842855901 scopus 로고    scopus 로고
    • Rigorously computed orbits of dynamical systems without the wrapping effect
    • W. Kühn, "Rigorously computed orbits of dynamical systems without the wrapping effect," Computing, vol. 61, pp. 47-67, 1998.
    • (1998) Computing , vol.61 , pp. 47-67
    • Kühn, W.1
  • 13
    • 35248883424 scopus 로고    scopus 로고
    • Efficient representation and computation of reachable sets for hybrid systems
    • Springer
    • O. Stursberg and B. H. Krogh, "Efficient representation and computation of reachable sets for hybrid systems," in Hybrid Systems: Computation and Control, ser. LNCS 2623. Springer, 2003, pp. 482-497.
    • (2003) Hybrid Systems: Computation and Control, Ser. LNCS 2623 , pp. 482-497
    • Stursberg, O.1    Krogh, B.H.2
  • 15
    • 79961019703 scopus 로고    scopus 로고
    • Reachability analysis of uncertain nonlinear systems using guaranteed set integration
    • N. Ramdani, N. Meslem, and Y. Candau, "Reachability analysis of uncertain nonlinear systems using guaranteed set integration," in Proc. of the 17th IFAC World Congress, 2008, pp. 8972-8977.
    • (2008) Proc. of the 17th IFAC World Congress , pp. 8972-8977
    • Ramdani, N.1    Meslem, N.2    Candau, Y.3
  • 16
    • 33646011937 scopus 로고    scopus 로고
    • Springer-Verlag ch. A New Perspective on the Wrapping Effect in Interval Methods for Initial Value Problems for Ordinary Differential Equations
    • N. S. Nedialkov and K. R. Jackson, Perspectives on Enclosure Methods. Springer-Verlag, 2001, ch. A New Perspective on the Wrapping Effect in Interval Methods for Initial Value Problems for Ordinary Differential Equations, pp. 219-264.
    • (2001) Perspectives on Enclosure Methods , pp. 219-264
    • Nedialkov, N.S.1    Jackson, K.R.2
  • 18
    • 79961020334 scopus 로고    scopus 로고
    • Efficient reachability analysis for linear systems using support functions
    • A. Girard and C. Le Guernic, "Efficient reachability analysis for linear systems using support functions," in Proc. of the 17th IFAC World Congress, 2008, pp. 8966-8971.
    • (2008) Proc. of the 17th IFAC World Congress , pp. 8966-8971
    • Girard, A.1    Le Guernic, C.2
  • 19
    • 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, pp. 947-957, 2005.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , pp. 947-957
    • Mitchell, I.M.1    Bayen, A.M.2    Tomlin, C.J.3
  • 20
    • 33847362191 scopus 로고    scopus 로고
    • Ellipsoidal techniques for reachability analysis of discrete-time linear systems
    • A. A. Kurzhanskiy and P. Varaiya, "Ellipsoidal techniques for reachability analysis of discrete-time linear systems," IEEE Transactions on Automatic Control, vol. 52, no. 1, pp. 26-38, 2007.
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.1 , pp. 26-38
    • Kurzhanskiy, A.A.1    Varaiya, P.2
  • 22
    • 4344711578 scopus 로고    scopus 로고
    • From the zonotope construction to the minkowski addition of convex polytopes
    • October
    • K. Fukuda, "From the zonotope construction to the Minkowski addition of convex polytopes," Journal of Symbolic Computation, vol. 38, no. 4, pp. 1261-1272, October 2004.
    • (2004) Journal of Symbolic Computation , vol.38 , Issue.4 , pp. 1261-1272
    • Fukuda, K.1
  • 23
    • 45849140560 scopus 로고    scopus 로고
    • The parma polyhedra library: Toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems
    • R. Bagnara, P. M. Hill, and E. Zaffanella, "The Parma Polyhedra Library: Toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems," Science of Computer Programming, vol. 72, pp. 3-21, 2008.
    • (2008) Science of Computer Programming , vol.72 , pp. 3-21
    • Bagnara, R.1    Hill, P.M.2    Zaffanella, E.3
  • 27
    • 62949169899 scopus 로고    scopus 로고
    • Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization
    • M. Althoff, O. Stursberg, and M. Buss, "Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization," in Proc. of the 47th IEEE Conference on Decision and Control, 2008, pp. 4042-4048.
    • (2008) Proc. of the 47th IEEE Conference on Decision and Control , pp. 4042-4048
    • Althoff, M.1    Stursberg, O.2    Buss, M.3
  • 28
    • 77949655805 scopus 로고    scopus 로고
    • Computing reachable sets of hybrid systems using a combination of zonotopes and polytopes
    • -, "Computing reachable sets of hybrid systems using a combination of zonotopes and polytopes," Nonlinear Analysis: Hybrid Systems, vol. 4, no. 2, pp. 233-249, 2010.
    • (2010) Nonlinear Analysis: Hybrid Systems , vol.4 , Issue.2 , pp. 233-249
    • Althoff, M.1    Stursberg, O.2    Buss, M.3
  • 29
    • 79960748910 scopus 로고    scopus 로고
    • Cooperative intersection collision avoidance system for violations (CICAS-V) for avoidance of violation-based intersection crashes
    • M. Maile and L. Delgrossi, "Cooperative intersection collision avoidance system for violations (CICAS-V) for avoidance of violation-based intersection crashes," National Highway Traffic Safety Administration, Tech. Rep. 09-0118, 2009.
    • (2009) National Highway Traffic Safety Administration, Tech. Rep. 09-0118
    • Maile, M.1    Delgrossi, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.