A turnpike theorem for continuous-time control systems when the optimal stationary point is not unique

Musa A. Mamedov

Abstract and Applied Analysis, 2003, vol. 2003, 1-20

Abstract:

We study the turnpike property for the nonconvex optimal control problems described by the differential inclusion x ˙ ∈ a ( x ) . We study the infinite horizon problem of maximizing the functional ∫ 0 T u ( x ( t ) ) d t as T grows to infinity. The turnpike theorem is proved for the case when a turnpike set consists of several optimal stationary points.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:659310

DOI: 10.1155/S1085337503210046

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