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Volumn 4, Issue 4, 1998, Pages 583-604

Feedback-invariant optimal control theory and differential geometry, II. Jacobi curves for singular extremals

Author keywords

Connection; Curvature; Extremal; Geodesic; Hamiltonian

Indexed keywords

COMPUTATIONAL METHODS; CONFORMAL MAPPING; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; GEOMETRY; HAMILTONIANS; INVARIANCE; LINEAR CONTROL SYSTEMS; MATHEMATICAL TRANSFORMATIONS; OPTIMAL CONTROL SYSTEMS; THEOREM PROVING; VECTORS; CONTROL SYSTEM ANALYSIS;

EID: 0032181978     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021871218615     Document Type: Article
Times cited : (35)

References (14)
  • 1
    • 0003059142 scopus 로고
    • Quadratic mappings in geometric control theory
    • VINITI, Moscow
    • A. A. Agrachev, Quadratic mappings in geometric control theory. (Russian) In: Itogi Nauki i Tekhniki: Problemy Geometrii, Vol. 20, VINITI, Moscow, 1988, 111-205.
    • (1988) Itogi Nauki i Tekhniki: Problemy Geometrii , vol.20 , pp. 111-205
    • Agrachev, A.A.1
  • 2
    • 0007932139 scopus 로고
    • English translation
    • (English translation in: J. Sov. Math. 51 1990, 2667-2734.
    • (1990) J. Sov. Math. , vol.51 , pp. 2667-2734
  • 3
    • 2442631359 scopus 로고
    • The Morse index and the Maslov index for the extremals of control systems
    • A. A. Agrachev and R. V. Gamkrelidze, The Morse index and the Maslov index for the extremals of control systems. Dokl. Akad. Nauk SSSR 287 (1986), 521-524; (English translation in: Sov. Math. Dokl. 33 (1986), 392-395.
    • (1986) Dokl. Akad. Nauk SSSR , vol.287 , pp. 521-524
    • Agrachev, A.A.1    Gamkrelidze, R.V.2
  • 4
    • 2442502411 scopus 로고
    • English translation
    • A. A. Agrachev and R. V. Gamkrelidze, The Morse index and the Maslov index for the extremals of control systems. Dokl. Akad. Nauk SSSR 287 (1986), 521-524; (English translation in: Sov. Math. Dokl. 33 (1986), 392-395.
    • (1986) Sov. Math. Dokl. , vol.33 , pp. 392-395
  • 5
    • 0009491442 scopus 로고    scopus 로고
    • Symplectic methods in optimization and control
    • (B. Jakubczyk, W. Respondek, Eds.) Marcel Dekker
    • _, Symplectic methods in optimization and control. In: Geometry of Feedback and Optimal Control. (B. Jakubczyk, W. Respondek, Eds.) Marcel Dekker, 1997, 1-58.
    • (1997) Geometry of Feedback and Optimal Control , pp. 1-58
  • 6
    • 0031191520 scopus 로고    scopus 로고
    • Feedback-invariant optimal control theory - I. Regular extremals
    • _, Feedback-invariant optimal control theory - I. Regular extremals. J. Dynam. Control Syst. 3 (1997), 343-389.
    • (1997) J. Dynam. Control Syst. , vol.3 , pp. 343-389
  • 8
    • 33847200272 scopus 로고
    • Strong minimality of abnormal geodesics for 2-distributions
    • _, Strong minimality of abnormal geodesics for 2-distributions. J. Dynam. Control Syst. 1 (1995), 139-176.
    • (1995) J. Dynam. Control Syst. , vol.1 , pp. 139-176
  • 10
    • 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. In: Forum Mathematicum, Vol. 5, 1993, 111-159.
    • (1993) Forum Mathematicum , vol.5 , pp. 111-159
    • Bonnard, B.1    Kupka, I.2
  • 11
    • 0001276535 scopus 로고
    • Rigidity of integral curves of rank 2 distributions
    • R. Bryant and L. Hsu, Rigidity of integral curves of rank 2 distributions. Invent. Math. 114 (1993), 435-461.
    • (1993) Invent. Math. , vol.114 , pp. 435-461
    • Bryant, R.1    Hsu, L.2
  • 14
    • 0003241547 scopus 로고
    • Shortest paths for sub-Riemannian metrics on rank 2 distributions
    • H. J. Sussmann and W. Liu, Shortest paths for sub-Riemannian metrics on rank 2 distributions. Mem. Am. Math. Soc. 118, 1995.
    • (1995) Mem. Am. Math. Soc. , vol.118
    • Sussmann, H.J.1    Liu, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.