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Volumn 122, Issue 2, 2004, Pages 345-370

Stratifiable families of extremals and sufficient conditions for optimality in optimal control problems

Author keywords

field theory; method of characteristics; Optimal control; singularities; strong local minima

Indexed keywords

OPTIMAL CONTROL SYSTEMS;

EID: 4844225236     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOTA.0000042525.50701.9a     Document Type: Article
Times cited : (9)

References (15)
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  • 5
    • 0000401789 scopus 로고
    • Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method
    • BOLTYANSKY, V. G., Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method, SIAM Journal on Control, Vol. 4, pp. 326-361, 1966.
    • (1966) SIAM Journal on Control , vol.4 , pp. 326-361
    • Boltyansky, V.G.1
  • 6
    • 0000195155 scopus 로고
    • Existence of a Regular Synthesis for General Control Problems
    • BRUNOVSKY, P., Existence of a Regular Synthesis for General Control Problems, Journal of Differential Equations, Vol. 38, pp. 81-100, 1980.
    • (1980) Journal of Differential Equations , vol.38 , pp. 81-100
    • Brunovsky, P.1
  • 7
    • 0034453280 scopus 로고    scopus 로고
    • Regular Synthesis and Sufficiency Conditions for Optimality
    • PICCOLI, B., and SUSSMANN, H. J., Regular Synthesis and Sufficiency Conditions for Optimality, SIAM Journal on Control and Optimization, Vol. 39, pp. 359-410, 2000.
    • (2000) SIAM Journal on Control and Optimization , vol.39 , pp. 359-410
    • Piccoli, B.1    Sussmann, H.J.2
  • 9
    • 0343090918 scopus 로고    scopus 로고
    • Parametrized Families of Extremals and Singularities in Solutions to the Hamilton-Jacobi-Bellman Equation
    • KIEFER, M., and SCHÄTTLER, H., Parametrized Families of Extremals and Singularities in Solutions to the Hamilton-Jacobi-Bellman Equation, SIAM Journal on Control and Optimization, Vol. 37, pp. 1346-1371, 1999.
    • (1999) SIAM Journal on Control and Optimization , vol.37 , pp. 1346-1371
    • Kiefer, M.1    Schättler, H.2
  • 10
    • 0036575268 scopus 로고    scopus 로고
    • Sufficient Conditions for Relative Minima of Broken Extremals in Optimal Control Theory
    • NOBLE, J., and SCHÄTTLER, H., Sufficient Conditions for Relative Minima of Broken Extremals in Optimal Control Theory, Journals of Mathematical Analysis and Applications, Vol. 269, pp. 98-128, 2002.
    • (2002) Journals of Mathematical Analysis and Applications , vol.269 , pp. 98-128
    • Noble, J.1    Schättler, H.2
  • 13
    • 0004294298 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • MC SHANE, E. J., Integration, Princeton University Press, Princeton, New Jersey, 1944.
    • (1944) Integration
    • Mc Shane, E.J.1
  • 15
    • 0002175610 scopus 로고
    • Global Controllability by Nice Controls
    • Edited by H. J. Sussmann, Marcel Dekker, New York, NY
    • GRASSE, K., and Sussmann, H. J., Global Controllability by Nice Controls, Nonlinear Controllability and Optimal Control, Edited by H. J. Sussmann, Marcel Dekker, New York, NY, pp. 33-79, 1990.
    • (1990) Nonlinear Controllability and Optimal Control , pp. 33-79
    • Grasse, K.1    Sussmann, H.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.