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.

Further Aspects of Turnpike Theory in Continuous Time With Applications

1976 ◽  
Vol 98 (1) ◽  
pp. 85-90 ◽  
Author(s):  
A. Haurie ◽  
N. M. Hung
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Economic Model ◽  
Optimal Control Problems ◽  
Previous Analysis ◽  
Optimal Growth ◽  
Time Optimal Control ◽  
Control Problems ◽  
Turnpike Theorem ◽  
Time Optimal

In this paper, the Turnpike theorem for continuous time optimal control problems is extended. This extension is due to a relaxation of the rather strong assumptions used in previous analysis. The Turnpike results are then applied to an economic model of optimal growth in the presence of several replenishable resources and to the Kolgomorov’s prey-predator ecosystem.

scholarly journals On turnpike and dissipativity properties of continuous-time optimal control problems

Automatica ◽  
2017 ◽  
Vol 81 ◽  
pp. 297-304 ◽  
Author(s):  
Timm Faulwasser ◽  
Milan Korda ◽  
Colin N. Jones ◽  
Dominique Bonvin
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Optimal Control Problems ◽  
Time Optimal Control ◽  
Control Problems ◽  
Time Optimal
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