Title data
Gaitsgory, Vladimir ; Grüne, Lars ; Höger, Matthias ; Kellett, Christopher M. ; Weller, Steven R.:
Stabilization of strictly dissipative discrete time systems with discounted optimal control.
Bayreuth
,
2017
.  18 p.
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Deutsche Forschungsgemeinschaft ARC 
Abstract in another language
We consider stabilization of an equilibrium point via infinite horizon discounted optimal control in discretetime. In addition to applications in economics and social sciences, discounted optimal control is a commonly used numerical technique guaranteeing solvability of certain classes of optimal control problems. In this paper, we present conditions based on strict dissipativity that ensure that the optimally controlled system is asymptotically stable or practically asymptotically stable. These conditions are shown to be complementary to recently proposed conditions based on a detectability property. Illustrative examples are provided.
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Stabilization with discounted optimal control : the discrete time case. (deposited 07 May 2016 21:00)

Stabilization with discounted optimal control : the discrete time case. (deposited 29 Aug 2017 09:39)
 Stabilization of strictly dissipative discrete time systems with discounted optimal control. (deposited 12 Sep 2017 12:54) [Currently Displayed]

Stabilization with discounted optimal control : the discrete time case. (deposited 29 Aug 2017 09:39)