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초록· 키워드
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We deduce the necessary conditions for the optimality of
endpoint constrained optimal control problem. These conditions comprise
the adjoint equation, the maximum principle and the transversality condition. We assume that the cost function is merely
differentiable. Therefore the technique under Lipschitz continuity hypothesis is not directly applicable. We
introduce Fermat's rule and value function technique to obtain the results.
목차
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참고문헌 (6)
참고문헌 신청
H. Frankowska / 1989 / Contingent cones to reachable sets of control systems / SIAM Journal on Control and Optimization 27 (1) : 170 ~ 198
Kyung-Eung Kim / 2005 / Necessary conditions for optimal control problem under stateconstraints / 대한수학회보 42 (1) : 17 ~ 35
L. Cesari / 1983 / Optimization?.Theory and Applications, Problems with ordinary differential equations / Springer-Verlag
P. D. Loewen / 1993 / Optimal Control via Nonsmooth Analysis / American Mathematical Society
R. B. Vinter / 2000 / Optimal Control Birkh¨auser
Kyung-Eung Kim / 2005 / Necessary conditions for optimal control problem under stateconstraints / 대한수학회보 42 (1) : 17 ~ 35
L. Cesari / 1983 / Optimization?.Theory and Applications, Problems with ordinary differential equations / Springer-Verlag
P. D. Loewen / 1993 / Optimal Control via Nonsmooth Analysis / American Mathematical Society
R. B. Vinter / 2000 / Optimal Control Birkh¨auser
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