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Volumn 35, Issue 5, 1997, Pages 1711-1738

The relationship between the maximum principle and dynamic programming for the control of parabolic variational inequalities

Author keywords

Dual extremal arc; Dynamic programming principle; Feedback law; Optimal control; Optimal value function; Optimality conditions; Parabolic variational inequality

Indexed keywords

CONTROL SYSTEM ANALYSIS; DYNAMIC PROGRAMMING; FEEDBACK; FUNCTIONS; MATHEMATICAL MODELS; VARIATIONAL TECHNIQUES;

EID: 0031237792     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012994198585     Document Type: Article
Times cited : (7)

References (11)
  • 1
    • 0019397919 scopus 로고
    • Necessary conditions for distributed control problems governed by parabolic variational inequalities
    • V. BARBU, Necessary conditions for distributed control problems governed by parabolic variational inequalities, SIAM J. Control Optim., 19 (1981), pp. 64-86.
    • (1981) SIAM J. Control Optim. , vol.19 , pp. 64-86
    • Barbu, V.1
  • 2
    • 0003231427 scopus 로고
    • Optimal Control of Variational Inequalities
    • Pitman, London
    • V. BARBU, Optimal Control of Variational Inequalities, Research Notes in Mathematics 100, Pitman, London, 1984.
    • (1984) Research Notes in Mathematics , vol.100
    • Barbu, V.1
  • 4
    • 0003282411 scopus 로고
    • Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert
    • North-Holland, Amsterdam
    • H. BRÉZIS, Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert, Math. Studies 5, North-Holland, Amsterdam, 1973.
    • (1973) Math. Studies , vol.5
    • Brézis, H.1
  • 7
    • 19244367902 scopus 로고
    • The relationship between the maximum principle and dynamic programming
    • F. H. CLARKE AND R. B. VINTER, The relationship between the maximum principle and dynamic programming, SIAM J. Control Optim., 25 (1987), pp. 1291-1311.
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 1291-1311
    • Clarke, F.H.1    Vinter, R.B.2
  • 8
    • 4143061737 scopus 로고
    • Product formula for nonlinear semigroups in Hilbert spaces
    • Y. KOBAYASHI, Product formula for nonlinear semigroups in Hilbert spaces, Proc. Japan Acad. Ser. A Math Sci., 58 (1982), pp. 425-428.
    • (1982) Proc. Japan Acad. Ser. A Math Sci. , vol.58 , pp. 425-428
    • Kobayashi, Y.1
  • 9
    • 84972545622 scopus 로고
    • Trotter product formulae for Hamilton-Jacobi equations in infinite dimensions
    • C. POPA, Trotter product formulae for Hamilton-Jacobi equations in infinite dimensions, Differential Integral Equations, 4 (1991), pp. 1251-1268.
    • (1991) Differential Integral Equations , vol.4 , pp. 1251-1268
    • Popa, C.1
  • 10
    • 0029342012 scopus 로고
    • Feedback laws for nonlinear distributed control problems via Trotter-type product formulae
    • C. POPA, Feedback laws for nonlinear distributed control problems via Trotter-type product formulae, SIAM J. Control Optim., 33 (1995), pp. 971-999.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 971-999
    • Popa, C.1
  • 11
    • 0000295695 scopus 로고
    • Generalized directional derivatives and subgradients of nonconvex functions
    • R. T. ROCKAFELLAR, Generalized directional derivatives and subgradients of nonconvex functions, Canad. J. Math., 32 (1980), pp. 257-280.
    • (1980) Canad. J. Math. , vol.32 , pp. 257-280
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.