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Volumn 102, Issue 1, 1999, Pages 51-68

Optimality conditions for state-constrained Dirichlet boundary control problems

Author keywords

Dirichlet boundary control; Lagrange multiplier theorems; Pointwise state constraints; Semilinear parabolic equations; Stone ech compactification

Indexed keywords

BOUNDARY CONTROL PROBLEMS; COMPACTIFICATION; DIRICHLET BOUNDARY CONTROLS; DIRICHLET CONTROL; LAGRANGE MULTIPLIER THEOREM; OPTIMALITY CONDITIONS; POINTWISE STATE CONSTRAINTS; REPRESENTATION THEOREM; SEMILINEAR PARABOLIC EQUATION; STONE-ČECH COMPACTIFICATION;

EID: 0033246167     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021886227276     Document Type: Article
Times cited : (9)

References (9)
  • 1
    • 0032683674 scopus 로고    scopus 로고
    • Necessary optimality conditions for control problems and the stone-čech compactification
    • ARADA, N., and RAYMOND, J. P., Necessary Optimality Conditions for Control Problems and the Stone-Čech Compactification, SIAM Journal on Control and Optimization, Vol. 37, pp. 1011-1032, 1999.
    • (1999) SIAM Journal on Control and Optimization , vol.37 , pp. 1011-1032
    • Arada, N.1    Raymond, J.P.2
  • 2
    • 84972519728 scopus 로고
    • Optimal control problems for nonlinear parabolic boundary control systems: The dirichlet boundary condition
    • FATTORINI, H. O., and MURPHY, T., Optimal Control Problems for Nonlinear Parabolic Boundary Control Systems: The Dirichlet Boundary Condition, Differential and Integral Equations, Vol. 7, pp. 1367-1388, 1994.
    • (1994) Differential and Integral Equations , vol.7 , pp. 1367-1388
    • Fattorini, H.O.1    Murphy, T.2
  • 3
    • 0009218130 scopus 로고    scopus 로고
    • Dirichlet boundary control of parabolic systems with pointwise state constraints
    • Edited by W. Desch, F. Kappel, and K. Kunish, Birkhäuser-Verlag, Basel, Switzerland
    • MORDUKHOVICH, B., and ZHANG, K., Dirichlet Boundary Control of Parabolic Systems with Pointwise State Constraints, International Conference on Control and Estimations of Distributed Parameter Systems, Edited by W. Desch, F. Kappel, and K. Kunish, Birkhäuser-Verlag, Basel, Switzerland, pp. 231-246, 1998.
    • (1998) International Conference on Control and Estimations of Distributed Parameter Systems , pp. 231-246
    • Mordukhovich, B.1    Zhang, K.2
  • 4
    • 0031281694 scopus 로고    scopus 로고
    • Minimax control of parabolic systems with dirichlet boundary conditions and state constraints
    • MORDUKHOVICH, B., and ZHANG, K., Minimax Control of Parabolic Systems with Dirichlet Boundary Conditions and State Constraints, Applied Mathematics and Optimization, Vol. 36, pp. 323-360, 1997.
    • (1997) Applied Mathematics and Optimization , vol.36 , pp. 323-360
    • Mordukhovich, B.1    Zhang, K.2
  • 7
    • 0002800189 scopus 로고
    • Regularity and stability for mathematical programming problems in banach space
    • ZOWE, J., and KURCYUSZ, S., Regularity and Stability for Mathematical Programming Problems in Banach Space, Applied Mathematics and Optimization, Vol. 5, pp. 49-62, 1979.
    • (1979) Applied Mathematics and Optimization , vol.5 , pp. 49-62
    • Zowe, J.1    Kurcyusz, S.2
  • 8
    • 0032166093 scopus 로고    scopus 로고
    • A lagrange multiplier theorem for control problems with state constraints
    • ALIBERT, J. J., and RAYMOND, J. P., A Lagrange Multiplier Theorem for Control Problems with State Constraints, Numerical Functional Analysis and Optimization, Vol. 19, pp. 697-704, 1998.
    • (1998) Numerical Functional Analysis and Optimization , vol.19 , pp. 697-704
    • Alibert, J.J.1    Raymond, J.P.2
  • 9
    • 0031511775 scopus 로고    scopus 로고
    • Nonlinear boundary control of semilinear parabolic equations with pointwise state constraints
    • RAYMOND, J. P., Nonlinear Boundary Control of Semilinear Parabolic Equations with Pointwise State Constraints, Discrete and Continuous Dynamical Systems, Vol. 3, pp. 341-370, 1997.
    • (1997) Discrete and Continuous Dynamical Systems , vol.3 , pp. 341-370
    • Raymond, J.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.