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

MƏMMƏDOV  , MUSA

doi:10.1155/s1085337503210046

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

MƏMMƏDOV M.

Abstract and Applied Analysis, vol.2003, no.11, pp.631-650, 2003 (Scopus)

Nəşrin Növü: Article / Article
Cild: 2003 Say: 11
Nəşr tarixi: 2003
Doi nömrəsi: 10.1155/s1085337503210046
jurnalın adı: Abstract and Applied Analysis
Jurnalın baxıldığı indekslər: Scopus
Səhifə sayı: pp.631-650
Açıq Arxiv Kolleksiyası: Məqalə
Adres: Bəli

Qısa məlumat

We study the turnpike property for the nonconvex optimal control problems described by the differential inclusion ẋ ∈ a(x). We study the infinite horizon problem of maximizing the functional ∫0 T u(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.