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, issue 11, 631-650

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 ∫0Tu(x(t))dt 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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https://doi.org/10.1155/S1085337503210046

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:11:p:631-650

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