Optimal conditions for endpoint constrained optimal control
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초록
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.
Abstract
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.
참고문헌 (6)
- L. Cesari, "Optimization–.Theory and Applications, Problems with ordinary differential equations" (1983), Springer-Verlag
- H. Frankowska, "Contingent cones to reachable sets of control systems", SIAM Journal on Control and Optimization, 27(1), pp.170~198 (1989)
- Kyung-Eung Kim, "Necessary conditions for optimal control problem under stateconstraints", 대한수학회보, 42(1), pp.17~35 (2005), 대한수학회
- P. D. Loewen, "Optimal Control via Nonsmooth Analysis" (1993), American Mathematical Society
- R. T. Rockafellar, "Variational Analysis" (1998), Springer-Verlag
- R. B. Vinter, "Optimal Control Birkh¨auser", ~ (2000)