논문KCI 등재
Necessary conditions for optimal control problem under stateconstraints
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Abstract
Necessary conditions for a deterministic optimal con-trol problem which involves states constraints are derived in the form of a maximum principle. The conditions are similar to those of F.H. Clarke, R.B. Vinter and G. Pappas who assume that the problem's data are Lipschitz. On the other hand, our data are not continuously di??erentiable but only di??erentiable. Fermat's rule and Rockafellar's duality theory of convex analysis are the basic techniques in this paper.
참고문헌 (3)
- "Contingent cones to reachable sets of control systems", 27, pp.170~198 (1989)
- P. D. Loewen, "The adjoint arc in nonsmooth optimization", 325, pp.39~72 (1991)
- R. B. Vinter, "A Maximum Principle for Nonsmooth Optimal-Control Problems with State Constraints 212-232.Control Problems with State Constraints", pp.212~232
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