Titlebook: Extrema of Smooth Functions; With Examples from E Mohamed Ali El-Hodiri Book 1991 Springer-Verlag Berlin · Heidelberg 1991 Calculus of Vari

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Extensions and Applicationsze its solutions as applications of chapter 6. The optimal control problem with scalar criterion is presented in section 1. In section 2 we present extensions of the control problem to: a) problems with time lags, b) problems with bounded state variables and, c) problems with finite vector criteria.

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https://doi.org/10.1007/978-3-319-00095-4cise presently. By the 1st order necessary condition of Chapter 1 we have: f̂. + f̂.ξ̂′ = 0. But g(x1, ξ(x.)) is a constant function around x̂.. Thus ĝ. + ĝ.ξ̂′ = 0. Solving for ξ̂′ we get: ξ̂′ = -ĝ./ĝ..

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Equality Constraintscise presently. By the 1st order necessary condition of Chapter 1 we have: f̂. + f̂.ξ̂′ = 0. But g(x1, ξ(x.)) is a constant function around x̂.. Thus ĝ. + ĝ.ξ̂′ = 0. Solving for ξ̂′ we get: ξ̂′ = -ĝ./ĝ..

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