메뉴 건너뛰기




Volumn 11, Issue 2-3, 2004, Pages 399-411

Computation of an over-approximation of the backward reachable set using subsystem level set functions

Author keywords

Interconnected systems; Over approximations; Reachable sets

Indexed keywords


EID: 4644270222     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (26)

References (23)
  • 3
    • 0142138270 scopus 로고    scopus 로고
    • Applications of polytopic approximations of reachable sets to linear dynamic games and a class of nonlinear systems
    • Denver, June
    • I. Hwang, D. M. Stipanović, and C. J. Tomlin. Applications of polytopic approximations of reachable sets to linear dynamic games and a class of nonlinear systems. In Proceedings of the American Control Conference, pages 4613-4619, Denver, June 2003.
    • (2003) Proceedings of the American Control Conference , pp. 4613-4619
    • Hwang, I.1    Stipanović, D.M.2    Tomlin, C.J.3
  • 4
    • 0142255879 scopus 로고
    • Exact description of reachable sets and global optimality conditions
    • M. M. Khrustalev. Exact description of reachable sets and global optimality conditions. Automatika i Telemekhanika, (5):62-70, 1988.
    • (1988) Automatika i Telemekhanika , Issue.5 , pp. 62-70
    • Khrustalev, M.M.1
  • 5
    • 4644235300 scopus 로고
    • Exact description of reachable sets and global optimality conditions II: Conditions of global optimality
    • M. M. Khrustalev. Exact description of reachable sets and global optimality conditions II: conditions of global optimality. Automatika i Telemekhanika, (7):70-80, 1988.
    • (1988) Automatika i Telemekhanika , Issue.7 , pp. 70-80
    • Khrustalev, M.M.1
  • 7
    • 84974693322 scopus 로고    scopus 로고
    • Ellipsoidal techniques for reachability analysis
    • B. Krogh and N. Lynch, editors, volume LNCS 1790. Springer Verlag
    • A. Kurzhanski and P. Varaiya. Ellipsoidal techniques for reachability analysis. In B. Krogh and N. Lynch, editors, Hybrid Systems: Computation and Control, volume LNCS 1790, pages 202-214. Springer Verlag, 2000.
    • (2000) Hybrid Systems: Computation and Control , pp. 202-214
    • Kurzhanski, A.1    Varaiya, P.2
  • 12
    • 0033100636 scopus 로고    scopus 로고
    • Controllers for reachability specifications for hybrid systems
    • J. Lygeros, C. J. Tomlin, and S. Sastry. Controllers for reachability specifications for hybrid systems. Automatica, 35(3):349-370, 1999.
    • (1999) Automatica , vol.35 , Issue.3 , pp. 349-370
    • Lygeros, J.1    Tomlin, C.J.2    Sastry, S.3
  • 13
    • 84944194723 scopus 로고    scopus 로고
    • Validating a Hamilton-Jacobi approximation to hybrid system reachable sets
    • M. D. D. Benedetto and A. Sangiovanni-Vincentelli, editors, volume LNCS 2034, Springer Verlag
    • I. Mitchell, A. M. Bayen, and C. J. Tomlin. Validating a Hamilton-Jacobi approximation to hybrid system reachable sets. In M. D. D. Benedetto and A. Sangiovanni-Vincentelli, editors, Hybrid Systems: Computation and Control, volume LNCS 2034, pages 418-432. Springer Verlag, 2001.
    • (2001) Hybrid Systems: Computation and Control , pp. 418-432
    • Mitchell, I.1    Bayen, A.M.2    Tomlin, C.J.3
  • 15
    • 4644300674 scopus 로고    scopus 로고
    • Overapproximating reachable sets by Hamilton-Jacobi projections
    • special issue dedicated to Stanley Osher on the occasion of his 60th birthday, Accepted
    • I. Mitchell and C. J. Tomlin. Overapproximating reachable sets by Hamilton-Jacobi projections. Journal of Scientific Computing, special issue dedicated to Stanley Osher on the occasion of his 60th birthday, 2002. Accepted.
    • (2002) Journal of Scientific Computing
    • Mitchell, I.1    Tomlin, C.J.2
  • 18
    • 0000274688 scopus 로고    scopus 로고
    • A game theoretic approach to controller design for hybrid systems
    • C. J. Tomlin, J. Lygeros, and S. Sastry. A game theoretic approach to controller design for hybrid systems. Proceedings of the IEEE, 88(7):949-970, 2000.
    • (2000) Proceedings of the IEEE , vol.88 , Issue.7 , pp. 949-970
    • Tomlin, C.J.1    Lygeros, J.2    Sastry, S.3
  • 22
    • 0019079731 scopus 로고
    • A characterization of the reachable set for nonlinear control systems
    • R. Vinter. A characterization of the reachable set for nonlinear control systems. SIAM Journal on Control and Optimization, 18(6):599-610, 1980.
    • (1980) SIAM Journal on Control and Optimization , vol.18 , Issue.6 , pp. 599-610
    • Vinter, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.