The gradient projection method for solving an optimal control problem

• Autorzy: M. H. Farag
• Języki publikacji: EN

Abstrakty

EN

A gradient method for solving an optimal control problem described by a parabolic equation is considered. The gradient projection method is applied to solve the problem. The convergence of the projection algorithm is investigated.

Słowa kluczowe

EN

distributed parameter systems; boundary value problems; gradient methods; optimal control

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1996-1997
• Tom: 24
• Numer: 2
• Strony: 141-147

Daty

wydano

1997

otrzymano

1995-08-18

poprawiono

1996-02-16

Twórcy

autor

M. H. Farag

• Department of Mathematics, Faculty of Science, Minia University Minia, Egypt

Bibliografia

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• [4] M. H. Farag and S. H. Farag, An existence and uniqueness theorem for one optimal control problem, Period. Math. Hungar. 30 (1995), 61-65.
• [5] A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, N.J., 1964.
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• [14] E. Polak, Computational Methods in Optimization, Academic Press, New York, 1971.
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• [17] J. B. Rosen, The gradient projection method for nonlinear programming. Part II: Nonlinear constraints, ibid. 9 (1961), 514-532.
• [18] Ts. Tsachev, Optimal control of linear parabolic equation: The constrained right-hand side as control function, Numer. Funct. Anal. Optim. 13 (1992), 369-380.
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