An Exponential Turnpike Theorem for Dissipative Discrete Time Optimal Control Problems

نویسندگان

  • Tobias Damm
  • Lars Grüne
  • Marleen Stieler
  • Karl Worthmann
چکیده

We investigate the exponential turnpike property for finite horizon undiscounted discrete time optimal control problems without any terminal constraints. Considering a class of strictly dissipative systems we derive a boundedness condition for an auxiliary optimal value function which implies the exponential turnpike property. Two theorems illustrate how this boundedness condition can be concluded from structural properties like controllability and stabilizability of the control system under consideration.

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عنوان ژورنال:
  • SIAM J. Control and Optimization

دوره 52  شماره 

صفحات  -

تاریخ انتشار 2014