On a discounted notion of strict dissipativity

Titelangaben

Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On a discounted notion of strict dissipativity.
Bayreuth , 2016 . - 6 S.

Volltext

	Format: PDF Name: discdiss_nolcos.pdf Version: Veröffentlichte Version Verfügbar mit der Lizenz Deutsches Urheberrechtsgesetz. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt werden. Darüber hinaus bedürfen die Vervielfältigung, Bearbeitung, Verbreitung und jede Art der Verwertung der schriftlichen Zustimmung des jeweiligen Rechteinhabers.
	Download (300kB)

Abstract

Recent results in the literature have provided connections between the so-called turnpike property, near optimality of closed-loop solutions using model predictive control schemes, and strict dissipativity. An important feature of these results is that strict dissipativity provides a checkable condition for the other two properties. These results relate to optimal control problems with undiscounted stage cost. Motivated by applications in economics, we consider optimal control problems with discounted stage cost and define a notion of discounted strict dissipativity. As in the undiscounted case, we show that discounted strict dissipativity provides a checkable condition for various properties of the solutions of the optimal control problem associated with the appropriately defined discounted available storage function.