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Volumn 2289, Issue , 2002, Pages 90-104

Guaranteed overapproximations of unsafe sets for continuous and hybrid systems: Solving the hamilton-jacobi equation using viability techniques

Author keywords

[No Author keywords available]

Indexed keywords

AIR TRAFFIC CONTROL; APPROXIMATION ALGORITHMS; CONTINUOUS TIME SYSTEMS; HYBRID SYSTEMS; TRAFFIC CONTROL;

EID: 84958176283     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45873-5_10     Document Type: Conference Paper
Times cited : (40)

References (18)
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    • (2000) Hybrid Systems: Computation and Control, LNCS 1790 , pp. 21-31
    • Asarin, E.1    Bournez, O.2    Dang, T.3    Maler, O.4
  • 2
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  • 5
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    • Delay Predictive Models of The National Airspace System using Hybrid Control Theory: Design, Simulation and Proofs
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    • A.M. Bayen, H. Sipma, C.J. Tomlin, and G. Meyer. Delay Predictive Models of The National Airspace System using Hybrid Control Theory: Design, Simulation and Proofs. Proceedings of the American Control Conference, 8-10 May 2002.
    • (2002) Proceedings of the American Control Conference
    • Bayen, A.M.1    Sipma, H.2    Tomlin, C.J.3    Meyer, G.4
  • 6
    • 84974735953 scopus 로고    scopus 로고
    • Verification of hybrid systems with linear differential inclusions using ellipsoidal approximations
    • B. Krogh and N. Lynch, editors, Springer Verlag
    • O. Botchkarev and S. Tripakis. Verification of hybrid systems with linear differential inclusions using ellipsoidal approximations. In B. Krogh and N. Lynch, editors, Hybrid Systems: Computation and Control, LNCS 1790, pages 73–88. Springer Verlag, 2000.
    • (2000) Hybrid Systems: Computation and Control, LNCS 1790 , pp. 73-88
    • Botchkarev, O.1    Tripakis, S.2
  • 7
    • 0942282935 scopus 로고
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    • (1975) Taylor and Francis
    • Bryson, A.E.1    Ho, Y.-C.2
  • 11
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    • Approximating quotient transition systems for hybrid systems
    • Chicago, IL
    • A. Chutinan and B. H. Krogh. Approximating quotient transition systems for hybrid systems. In Proceedings of the American Control Conference, pages 1689–1693, Chicago, IL, 2000.
    • (2000) Proceedings of the American Control Conference , pp. 1689-1693
    • Chutinan, A.1    Krogh, B.H.2
  • 12
    • 84968507121 scopus 로고
    • Some properties of viscosity solutions of Hamilton-Jacobi equations
    • M. G. Crandall, L. C. Evans, and P.-L. Lions. Some properties of viscosity solutions of Hamilton-Jacobi equations. TransAMS, 282(2):487–502, 1984.
    • (1984) Transams , vol.282 , Issue.2 , pp. 487-502
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  • 13
    • 85066086057 scopus 로고
    • Lower Semicontinuous Solutions of Hamilton-Jacobi-Bellman Equations
    • H. Frankowska. Lower Semicontinuous Solutions of Hamilton-Jacobi-Bellman Equations. SIAM Journal of Control and Optimization, 31(1):257–272, 1993.
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  • 14
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    • Frankowska, H.1    Quincampoix, M.2
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.