On problems with bounded state variables |
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Authors: | I Bert Russak |
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Institution: | (1) Guidance Software Design Department, TRW Systems Group, TRW, Redondo Beach, California |
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Abstract: | A set of first-order necessary conditions is obtained for the general control problem of Bolza with bounded state constraints of the form
(t, x) 0, =1,...,m. With the solution required to satisfy the vector differential equationsx=f(t, x, u), whereu is control, an important feature of this paper is in relaxing the assumption on the rank of the matrix
x
f
u generally made in attacking problems of this type. This is accomplished even though the solution may have an infinite number of intervals satisfying
(t, x)=0 for various .The preparation of this paper was sponsored in part by the US Army Research Office, Grant No. DA-31-214-ARO(D)-355. |
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