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Volumn 3, Issue 2, 1997, Pages 165-203

The generic local structure of time-optimal synthesis with a target of codimension one in dimension greater than two

Author keywords

Cut locus; Exceptional; Generic; Optimal trajectory; Stratification; Synthesis

Indexed keywords

MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; TOPOLOGY;

EID: 0031122301     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02465893     Document Type: Article
Times cited : (11)

References (16)
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    • (1996) J. Dynam. Control Syst. , vol.2 , pp. 321-358
    • Agrachev, A.A.1
  • 5
    • 84955868449 scopus 로고
    • Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal
    • B. Bonnard and I. Kupka, Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal. Forum Math. 5 (1993), 111-159.
    • (1993) Forum Math. , vol.5 , pp. 111-159
    • Bonnard, B.1    Kupka, I.2
  • 6
    • 27144537024 scopus 로고    scopus 로고
    • Generic properties of singular trajectories
    • to appear
    • _, Generic properties of singular trajectories. Ann. Inst. H. Poincaré. (to appear).
    • Ann. Inst. H. Poincaré.
  • 7
    • 27144433743 scopus 로고    scopus 로고
    • Classification générique de synthèses temps minimales avec cible de codimension un et applications
    • to appear
    • B. Bonnard, G. Launay, and M. Pelletier, Classification générique de synthèses temps minimales avec cible de codimension un et applications. Ann. Inst. H. Poincaré. (to appear).
    • Ann. Inst. H. Poincaré.
    • Bonnard, B.1    Launay, G.2    Pelletier, M.3
  • 8
    • 2042496462 scopus 로고
    • Time minimal synthesis for planar systems in the neighborhood of a terminal manifold of codimension one. Summary
    • B. Bonnard, and M. Pelletier, Time minimal synthesis for planar systems in the neighborhood of a terminal manifold of codimension one. Summary. J. Math. Syst. Estimat, and Control 5 (1995), No. 3, 379-381.
    • (1995) J. Math. Syst. Estimat, and Control , vol.5 , Issue.3 , pp. 379-381
    • Bonnard, B.1    Pelletier, M.2
  • 9
    • 51249185975 scopus 로고
    • Discontinuités des champs hamiltoniens et existence de solutions optimales en calcul des variations
    • I. Ekeland, Discontinuités des champs hamiltoniens et existence de solutions optimales en calcul des variations. Publ. IHES (1977), No. 47, 1-32.
    • (1977) Publ. IHES , Issue.47 , pp. 1-32
    • Ekeland, I.1
  • 11
    • 0001526595 scopus 로고
    • Lie algebra of vector fields and local approximation of attainable sets
    • H. Hermes, Lie algebra of vector fields and local approximation of attainable sets. SIAM J. Control and Optimiz. 26 (1978), No. 5, 715-727.
    • (1978) SIAM J. Control and Optimiz. , vol.26 , Issue.5 , pp. 715-727
    • Hermes, H.1
  • 12
    • 0000847545 scopus 로고
    • Geometric theory of extremals in optimal control problems, I. the fold and Maxwell cases
    • I. Kupka, Geometric theory of extremals in optimal control problems, I. The fold and Maxwell cases. Trans. Am. Math. Soc. 299 (1973), 225-243.
    • (1973) Trans. Am. Math. Soc. , vol.299 , pp. 225-243
    • Kupka, I.1
  • 15
    • 0024036664 scopus 로고
    • The local structure of time optimal trajectories under generic conditions
    • H. Schättler, The local structure of time optimal trajectories under generic conditions. SIAM J. Control and Optimiz. 26 (1988), 899-918.
    • (1988) SIAM J. Control and Optimiz. , vol.26 , pp. 899-918
    • Schättler, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.