Variations of $v$-change of time in an optimal control problem with state and mixed constraintsстатья
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Аннотация:For a general optimal control problem with state and regularmixed constraints we propose a proof of the maximum principle based onthe so-called v-change of time variable t 7→ τ , under which the original timebecomes an additional state variable subject to the equation dt/dτ = v(τ ),while the additional control variable v(τ ) ⩾ 0 is piecewise constant, and itsvalues become arguments of the new problem.