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Volumn 2, Issue 2, 2007, Pages 313-331

Optimal control problems on stratified domains

Author keywords

Hamilton Jacobi equation; Optimal control theory; Viscosity solution

Indexed keywords

CONSTRAINED OPTIMIZATION; COST FUNCTIONS; MECHANICS;

EID: 55849090281     PISSN: 15561801     EISSN: 1556181X     Source Type: Journal    
DOI: 10.3934/nhm.2007.2.313     Document Type: Article
Times cited : (53)

References (16)
  • 3
    • 0000401789 scopus 로고
    • Sufficient conditions for optimality and the justification of the dynamic programming principle
    • V. G. Boltyanskii, Sufficient conditions for optimality and the justification of the dynamic programming principle, SIAM J. Control Optim., 4 (1966), 326-361.
    • (1966) SIAM J. Control Optim , vol.4 , pp. 326-361
    • Boltyanskii, V.G.1
  • 4
    • 0005377469 scopus 로고
    • Every normal linear system has a regular time-optimal synthesis
    • P. Brunovský, Every normal linear system has a regular time-optimal synthesis, Math. Slovaca, 28 (1978), 81-100.
    • (1978) Math. Slovaca , vol.28 , pp. 81-100
    • Brunovský, P.1
  • 5
    • 2342496261 scopus 로고    scopus 로고
    • Hamilton-Jacobi Equations with measurable dependence on the state vairable
    • F. Camilli and A. Siconolfi, Hamilton-Jacobi Equations with measurable dependence on the state vairable, Adv. Differential Equations, 8 (2003), no. 6, 733-768.
    • (2003) Adv. Differential Equations , vol.8 , Issue.6 , pp. 733-768
    • Camilli, F.1    Siconolfi, A.2
  • 9
    • 84990576543 scopus 로고
    • Stochastic differential equations with reflecting boundary conditions
    • P. L. Lions and A. S. Sznitman, Stochastic differential equations with reflecting boundary conditions, Comm. Pure Appl. Math., 37 (1984), 511-537.
    • (1984) Comm. Pure Appl. Math , vol.37 , pp. 511-537
    • Lions, P.L.1    Sznitman, A.S.2
  • 10
    • 0000695344 scopus 로고
    • Eikonal equations with discontinuities
    • R. T. Newcomb and J. Su, Eikonal equations with discontinuities, Differential Integral Equations, 8 (1995), no. 8, 1947-1960.
    • (1995) Differential Integral Equations , vol.8 , Issue.8 , pp. 1947-1960
    • Newcomb, R.T.1    Su, J.2
  • 12
    • 0034453280 scopus 로고    scopus 로고
    • Regular synthesis and sufficiency conditions for optimality
    • B. Piccoli and H. J. Sussmann, Regular synthesis and sufficiency conditions for optimality, SIAM J. Control Optim., 39 (2000), no. 2, 359-410.
    • (2000) SIAM J. Control Optim , vol.39 , Issue.2 , pp. 359-410
    • Piccoli, B.1    Sussmann, H.J.2
  • 13
    • 1942477671 scopus 로고    scopus 로고
    • On reflecting boundary problem for optimal control
    • O. Serea, On reflecting boundary problem for optimal control, SIAM J. Control Optim., 42 (2003), no. 2, 559-575.
    • (2003) SIAM J. Control Optim , vol.42 , Issue.2 , pp. 559-575
    • Serea, O.1
  • 14
    • 0036059914 scopus 로고    scopus 로고
    • Boundary value problems for Hamilton-Jacobi equations with discontinuous Lagrangian
    • P. Soravia, Boundary value problems for Hamilton-Jacobi equations with discontinuous Lagrangian, Indiana Univ. Math. J., 51 (2002), no. 2, 451-477.
    • (2002) Indiana Univ. Math. J , vol.51 , Issue.2 , pp. 451-477
    • Soravia, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.