Abstract
The optimal impulsive control of systems arising from linear compartment models for drug distribution in the human body is considered. A system of linear, time-invariant, homogeneous differential equations is given along with a set of continuous constraints on state and control. The object is to develop a constructive algorithm for the computation of the optimal control relative to a convex cost functional. Under suitable hypotheses, satisfying the continuous constraints is equivalent to satisfying the constraints at a finite set of abstractly definedcritical points. Once these critical points have been determined, the solution of the optimal control problem is found as the solution of an ordinary finite-dimensional convex programming problem. An iterative algorithm is given for the situation in which the critical points cannot all be determineda priori.
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Communicated by R. E. Kalaba
This work was supported in part by the National Science Foundation under Grant No. MPS-74-13332.
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Pierce, J.G., Schumitzky, A. Optimal impulsive control of compartment models, II: Algorithm. J Optim Theory Appl 26, 581–599 (1978). https://doi.org/10.1007/BF00933153
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DOI: https://doi.org/10.1007/BF00933153