The determining set in the infinite horizon problem of optimal control

1984 ◽  
Vol 5 (2) ◽  
pp. 167-175
Author(s):  
Lynnell E. Stern
Keyword(s):  
Optimal Control ◽  
Infinite Horizon ◽  
Horizon Problem ◽  
Determining Set ◽  
Infinite Horizon Problem

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

2003 ◽  
Vol 2003 (11) ◽  
pp. 631-650 ◽  
Author(s):  
Musa A. Mamedov
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Continuous Time ◽  
Optimal Control Problems ◽  
Infinite Horizon ◽  
Stationary Points ◽  
Control Problems ◽  
Horizon Problem ◽  
Time Control ◽  
Turnpike Theorem

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

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