Abstract
One suggested method is to adjoin a quadratic form in the sensitivity vector to the integrand of the cost functional and to find the feedback, linear in the state and sensitivity vectors, which minimizes the augmented cost functional. Several authors have incorrectly assumed that the augmented system can be treated as another optimal regulator problem. In this paper it is shown that the problem, when correctly formulated, has no solution in the sense that there can be no finite state-independent feedback matrices which will satisfy the necessary conditions for an optimum.
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