β Scribed by H. Maurer; M. Wiegand
No coin nor oath required. For personal study only.
The interaction of the two drugs warfarin and phenylbutazone has previously been considered as a timeβoptimal control problem with state inequality constraints. We include bounds for the control and show that necessary optimality conditions and junction conditions for bounded state variables lead to boundary value problems with switching and junction conditions. A special version of the multipleβshooting algorithm is employed for solving the different types of boundary value problems. The switching structure of the optimal control is determined for a range of parameters in the state constraint. Owing to the special structure of the control, a state space solution is obtained in a first step which reduces the numerical complexity of the problem. It is shown how the numerical results can be used to compute the generalized gradient of the optimal value function explicitly.
π SIMILAR VOLUMES
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The aim of this paper is double. First, we point out that the hypothesis D(tl)D(t2) = D(t2)D(tl) imposed in [1] can be removed. Second, a constructive method for obtaining analyticnumerical solutions with a prefixed accuracy in a bounded domain gl(to, tl) = [0,p] x [t0,tl], for mixed problems of the