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- W2052376475 abstract "Neustadt type existence theorems are given for optimal control problems described by Dieudonné-Rashevsky type total differential equations which are linear in the state variable. The multipliers from the corresponding conjugate problem are used to obtain an integral representation for the functional which in turn is used in conjunction with a Lyapunov type theorem on convexity of range of integrals to derive the existence of a usual solution from that of a generalized solution, which thus needs no convexity. Existence of optimal solutions is also proved in certain cases using an implicit function theorem along with the sufficiency of the maximum principle for optimality in the case of linear systems. Bang bang type controls are shown to exist when the system is linear in the control variable also." @default.
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- W2052376475 date "1974-01-01" @default.
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- W2052376475 title "Linear control problems with total differential equations without convexity" @default.
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- W2052376475 doi "https://doi.org/10.1090/s0002-9947-1974-0355729-x" @default.
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