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Volumn 77, Issue 1, 2003, Pages 71-104

Geometric aspects of the maximum principle and lifts over a bundle map

Author keywords

Abnormal extremals; Control theory; Lifts over bundle maps; Maximum principle

Indexed keywords

COMPUTATIONAL GEOMETRY; CURVE FITTING; INTEGRATION; MAPPING; PROBLEM SOLVING; VECTORS;

EID: 0038025237     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023687217000     Document Type: Article
Times cited : (10)

References (11)
  • 1
    • 0037404265 scopus 로고    scopus 로고
    • Generalised connections over a vector bundle map
    • to appear (math.DG/0201274)
    • Cantrijn, F. and Langerock, B.: Generalised connections over a vector bundle map, Differential Geom. Appl. (2002), to appear (math.DG/0201274).
    • (2002) Differential Geom. Appl.
    • Cantrijn, F.1    Langerock, B.2
  • 3
    • 0037709854 scopus 로고    scopus 로고
    • Lie algebroid generalization of geometric mechanics
    • P. U. J. Kubarski and R. Wolak (eds), Banach Center Publ. 54, Polish Acad. Sci., Warsaw
    • Cariñena, J. F. and Martínez, E.: Lie algebroid generalization of geometric mechanics, In: P. U. J. Kubarski and R. Wolak (eds), Lie Algebroids and Related Topics in Differential Geometry, Banach Center Publ. 54, Polish Acad. Sci., Warsaw, 2001, pp. 201-215.
    • (2001) Lie Algebroids and Related Topics in Differential Geometry , pp. 201-215
    • Cariñena, J.F.1    Martínez, E.2
  • 5
    • 0037410296 scopus 로고    scopus 로고
    • A connection theoretic approach to sub-Riemannian geometry
    • to appear
    • Langerock, B.: A connection theoretic approach to sub-Riemannian geometry, J. Geom. Phys. (2003), to appear.
    • (2003) J. Geom. Phys.
    • Langerock, B.1
  • 8
    • 0035385190 scopus 로고    scopus 로고
    • Lagrangian mechanics on Lie algebroids
    • Martínez, E.: Lagrangian mechanics on Lie algebroids, Acta Appl. Math. 67 (2001), 295-320.
    • (2001) Acta Appl. Math. , vol.67 , pp. 295-320
    • Martínez, E.1
  • 10
    • 0001590046 scopus 로고    scopus 로고
    • An introduction to the coordinate-free maximum principle
    • B. Jakubczyk and W. Respondek (eds), Marcel Dekker, New York
    • Sussmann, H.: An introduction to the coordinate-free maximum principle, In: B. Jakubczyk and W. Respondek (eds), Geometry of Feedback and Optimal Control, Marcel Dekker, New York, 1997, pp. 463-557.
    • (1997) Geometry of Feedback and Optimal Control , pp. 463-557
    • Sussmann, H.1
  • 11
    • 0000714030 scopus 로고
    • Lagrangian mechanics and groupoids
    • P. K. W. F. Shadwick and T. Ratiu (eds)
    • Weinstein, A.: Lagrangian mechanics and groupoids, In: P. K. W. F. Shadwick and T. Ratiu (eds), Mechanics Day, 1995, pp. 207-232.
    • (1995) Mechanics Day , pp. 207-232
    • Weinstein, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.