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Volumn 84, Issue 1, 2011, Pages 165-179

Complexity reduction through a Schur-based decomposition for reachability analysis of linear time-invariant systems

Author keywords

projection; reachability analysis; structure decomposition; transformation

Indexed keywords

COMPLEXITY REDUCTION; COMPUTATIONAL COSTS; CONSTRAINT CONDITIONS; CONTROLLER SYNTHESIS; EIGEN-VALUE; LINEAR TIME INVARIANT SYSTEMS; LTI SYSTEMS; POTENTIAL UTILITY; PROJECTION; REACHABILITY; REACHABILITY ANALYSIS; REACHABLE SET; STRUCTURE DECOMPOSITION; TRANSFORMATION;

EID: 79751484004     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179.2010.543703     Document Type: Article
Times cited : (17)

References (39)
  • 1
    • 35048857940 scopus 로고    scopus 로고
    • Abstraction by projection and application to multi-affine systems
    • Berlin: Springer-Verlag
    • Asarin, E., and Dang, T. (2004), 'Abstraction by Projection and Application to Multi-affine Systems', Hybrid Systems: Computation and Control, LNCS 2993, Berlin: Springer- Verlag, pp. 129-132.
    • (2004) Hybrid Systems: Computation and Control, LNCS 2993 , pp. 129-132
    • Asarin, E.1    Dang, T.2
  • 4
    • 33846873653 scopus 로고    scopus 로고
    • Aircraft autolander safety analysis through optimal control-based reach set computation
    • DOI 10.2514/1.21562
    • Bayen, A., Mitchell, I., Oishi, M., and Tomlin, C. (2007), 'Aircraft Autolander Safety Analysis Through Optimal Control-based Reach Set Computation', Journal of Guidance, Control, and Dynamics, 30, 68-77. (Pubitemid 46219873)
    • (2007) Journal of Guidance, Control, and Dynamics , vol.30 , Issue.1 , pp. 68-77
    • Bayen, A.M.1    Mitchell, I.M.2    Oishi, M.M.K.3    Tomlin, C.J.4
  • 7
    • 0000102846 scopus 로고
    • Differential games and representation formulas for solutions of hamilton- Jaconbi - Isaacs equations
    • Evans, L., and Souganidis, P. (1984), 'Differential Games and Representation Formulas for Solutions of Hamilton- Jaconbi-Isaacs Equations', Indiana University Mathematics Journal, 33, 773-797.
    • (1984) Indiana University Mathematics Journal , vol.33 , pp. 773-797
    • Evans, L.1    Souganidis, P.2
  • 9
    • 79961020334 scopus 로고    scopus 로고
    • Efficient reachability analysis for linear systems using support functions
    • July, Seoul, Korea
    • Girard, A., and Le Guernic, C. (2008), 'Efficient Reachability Analysis for Linear Systems using Support Functions', IFAC World Congress, July, Seoul, Korea, pp. 8966-8971.
    • (2008) IFAC World Congress , pp. 8966-8971
    • Girard, A.1    Le Guernic, C.2
  • 11
    • 34249005820 scopus 로고    scopus 로고
    • Approximation metrics for discrete and continuous systems
    • DOI 10.1109/TAC.2007.895849
    • Girard, A., and Pappas, G.J. (2007), 'Approximation Metrics for Discrete and Continuous Systems', IEEE Transactions on Automatic Control, 52, 782-798. (Pubitemid 46796065)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.5 , pp. 782-798
    • Girard, A.1    Pappas, G.J.2
  • 13
    • 8744232867 scopus 로고    scopus 로고
    • Reachability analysis of hybrid control systems using reduced-order models
    • June, Boston, MA
    • Han, Z., and Krogh, B. (2004), 'Reachability Analysis of Hybrid Control Systems using Reduced-order Models', in Proceedings of American Control Conference, June, Boston, MA, pp. 1183-1189.
    • (2004) Proceedings of American Control Conference , pp. 1183-1189
    • Han, Z.1    Krogh, B.2
  • 17
    • 35248883424 scopus 로고    scopus 로고
    • Efficient representation and computation of reachable sets for hybrid systems
    • eds. O. Maler, and A. Pnueli, Berlin, Germany: Springer-Verlag
    • Krogh, B.H., and Stursberg, O. (2003), 'Efficient Representation and Computation of Reachable Sets for Hybrid Systems', in Hybrid Systems: Computation and Control, LNCS 2623, eds. O. Maler, and A. Pnueli, Berlin, Germany: Springer-Verlag, pp. 482-497.
    • (2003) Hybrid Systems: Computation and Control, LNCS 2623 , pp. 482-497
    • Krogh, B.H.1    Stursberg, O.2
  • 18
    • 84974693322 scopus 로고    scopus 로고
    • Ellipsoidal techniques for reachability analysis
    • eds. N. Lynch, and B. Krogh, Berlin-Heidelberg: Springer-Verlag
    • Kurzhanski, A.B., and Varaiya, P. (2000), 'Ellipsoidal Techniques for Reachability Analysis', in Hybrid Systems: Computation and Control, LNCS 1790, eds. N. Lynch, and B. Krogh, Berlin-Heidelberg: Springer- Verlag, pp. 202-214.
    • (2000) Hybrid Systems: Computation and Control, LNCS 1790 , pp. 202-214
    • Kurzhanski, A.B.1    Varaiya, P.2
  • 20
    • 33847362191 scopus 로고    scopus 로고
    • Ellipsoidal techniques for reachability analysis of discrete-time linear systems
    • DOI 10.1109/TAC.2006.887900
    • Kurzhanskiy, A.A., and Varaiya, P. (2007), 'Ellipsoidal Techniques for Reachability Analysis of Discrete-time Linear Systems', IEEE Transactions on Automatic Control, 52, 26-38. (Pubitemid 46343995)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.1 , pp. 26-38
    • Kurzhanskiy, A.A.1    Varaiya, P.2
  • 22
    • 0033100636 scopus 로고    scopus 로고
    • Controllers for reachability specifications for hybrid systems
    • Lygeros, J., Tomlin, C., and Sastry, S. (1999), 'Controllers for Reachability Specifications for Hybrid Systems', Automatica, 35, 349-370.
    • (1999) Automatica , vol.35 , pp. 349-370
    • Lygeros, J.1    Tomlin, C.2    Sastry, S.3
  • 24
    • 38049127366 scopus 로고    scopus 로고
    • Comparing forward and backward reachability as tools for safety analysis
    • eds A. Bemporad, A. Bicchi, and G. Buttazzo, Berlin-Heidelberg: Springer-Verlag
    • Mitchell, I. (2007a), 'Comparing Forward and Backward Reachability as Tools for Safety Analysis', in Hybrid Systems: Computation and Control, LNCS 4416, eds. A. Bemporad, A. Bicchi, and G. Buttazzo, Berlin- Heidelberg: Springer-Verlag, pp. 428-443.
    • (2007) Hybrid Systems: Computation and Control, LNCS 4416 , pp. 428-443
    • Mitchell, I.1
  • 25
    • 23144444440 scopus 로고    scopus 로고
    • Technical Report TR-2007-11, The University of British Columbia, UBC, Department of Computer Science
    • Mitchell, I.M. (2007b), 'A Toolbox of Level Set Methods', Technical Report TR-2007-11, The University of British Columbia, UBC, Department of Computer Science.
    • (2007) A Toolbox of Level Set Methods
    • Mitchell, I.M.1
  • 26
    • 23144463781 scopus 로고    scopus 로고
    • A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games
    • DOI 10.1109/TAC.2005.851439
    • Mitchell, I., Bayen, A., and Tomlin, C. (2005), 'A Timedependent Hamilton-Jacobi Formulation of Reachable Sets for Continuous Dynamic Games', IEEE Transactions on Automatic Control, 50, 947-957. (Pubitemid 41078397)
    • (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
  • 27
    • 0346640326 scopus 로고    scopus 로고
    • Overapproximating reachable sets by hamilton-jacobi projections
    • Mitchell, I., and Tomlin, C. (2003), 'Overapproximating Reachable Sets by Hamilton-Jacobi Projections', Journal of Scientific Computing, 19, 323-346.
    • (2003) Journal of Scientific Computing , vol.19 , pp. 323-346
    • Mitchell, I.1    Tomlin, C.2
  • 29
    • 84958153588 scopus 로고    scopus 로고
    • Hybrid kernels and capture basins for impulse constrained systems
    • eds. C. Tomlin, and M. Greenstreet, Berlin-Heidelberg: Springer-Verlag
    • Saint-Pierre, P. (2002), 'Hybrid Kernels and Capture Basins for Impulse Constrained Systems', in Hybrid Systems: Computation and Control, LNCS 2289, eds. C. Tomlin, and M. Greenstreet, Berlin-Heidelberg: Springer-Verlag, pp. 378-392.
    • (2002) Hybrid Systems: Computation and Control, LNCS 2289 , pp. 378-392
    • Saint-Pierre, P.1
  • 30
  • 31
    • 0017677517 scopus 로고
    • OPTIMAL APPROXIMATION OF HIGH-ORDER SYSTEMS SUBJECT TO POLYNOMIAL INPUTS
    • Siret, J.M., Michailesco, G., and Bertrand, P. (1977), 'Optimal Approximation of High-order Systems Subject to Polynomial Inputs', International Journal of Control, 26, 963-971. (Pubitemid 8570033)
    • (1977) International Journal of Control , vol.26 , Issue.6 , pp. 963-971
    • Siret, J.M.1    Michailesco, G.2    Bertrand, P.3
  • 35
    • 0000274688 scopus 로고    scopus 로고
    • A game theoretic approach to controller design for hybrid systems
    • Tomlin, C., Lygeros, J., and Sastry, S. (2000), 'A Game Theoretic Approach to Controller Design for Hybrid Systems', Proceedings of the IEEE, 88, 949-970.
    • (2000) Proceedings of the IEEE , vol.88 , pp. 949-970
    • Tomlin, C.1    Lygeros, J.2    Sastry, S.3
  • 36
    • 8744255103 scopus 로고    scopus 로고
    • Computational techniques for the verification and control of hybrid systems
    • Tomlin, C., Mitchell, I., Bayen, A., and Oishi, M. (2004), 'Computational Techniques for the Verification and Control of Hybrid Systems', Proceedings of the IEEE, 91, 986-1001.
    • (2004) Proceedings of the IEEE , vol.91 , pp. 986-1001
    • Tomlin, C.1    Mitchell, I.2    Bayen, A.3    Oishi, M.4
  • 38
    • 8744289388 scopus 로고    scopus 로고
    • Geometric programming relaxations for linear system reachability
    • June, Boston, MA
    • Yazarel, H., and Pappas, G.J. (2004), 'Geometric Programming Relaxations for Linear System Reachability', in Proceedings of American Control Conference, June, Boston, MA, pp. 553-559.
    • (2004) Proceedings of American Control Conference , pp. 553-559
    • Yazarel, H.1    Pappas, G.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.