A turnpike theorem for continuous-time control systems when the optimal stationary point is not unique
Musa A. Mamedov1
Received21 Aug 2002
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.