Feedback nash equilibria for linear quadratic descriptor differential games

J.C. Engwerda, S. Salmah

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Abstract

In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite. We derive both necessary and sufficient conditions under which this game has a Nash equilibrium.
Original languageEnglish
Title of host publicationProceedings of the 14th International Symposium on Dynamic Games and Applications (ISDG2010)
EditorsP. Cardaliaguet, R. Cressman
Place of PublicationBoston
PublisherBirkhauser
Publication statusPublished - 2010

Publication series

NameAnnals of the International Society of Dynamic Games

Fingerprint

Quadratic Differentials
Descriptor Systems
Differential Games
Nash Equilibrium
Descriptors
Horizon
Planning
Game
Necessary Conditions
Sufficient Conditions

Cite this

Engwerda, J. C., & Salmah, S. (2010). Feedback nash equilibria for linear quadratic descriptor differential games. In P. Cardaliaguet, & R. Cressman (Eds.), Proceedings of the 14th International Symposium on Dynamic Games and Applications (ISDG2010) (Annals of the International Society of Dynamic Games). Boston: Birkhauser.
Engwerda, J.C. ; Salmah, S. / Feedback nash equilibria for linear quadratic descriptor differential games. Proceedings of the 14th International Symposium on Dynamic Games and Applications (ISDG2010). editor / P. Cardaliaguet ; R. Cressman. Boston : Birkhauser, 2010. (Annals of the International Society of Dynamic Games).
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Engwerda, JC & Salmah, S 2010, Feedback nash equilibria for linear quadratic descriptor differential games. in P Cardaliaguet & R Cressman (eds), Proceedings of the 14th International Symposium on Dynamic Games and Applications (ISDG2010). Annals of the International Society of Dynamic Games, Birkhauser, Boston.

Feedback nash equilibria for linear quadratic descriptor differential games. / Engwerda, J.C.; Salmah, S.

Proceedings of the 14th International Symposium on Dynamic Games and Applications (ISDG2010). ed. / P. Cardaliaguet; R. Cressman. Boston : Birkhauser, 2010. (Annals of the International Society of Dynamic Games).

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

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T1 - Feedback nash equilibria for linear quadratic descriptor differential games

AU - Engwerda, J.C.

AU - Salmah, S.

PY - 2010

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N2 - In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite. We derive both necessary and sufficient conditions under which this game has a Nash equilibrium.

AB - In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite. We derive both necessary and sufficient conditions under which this game has a Nash equilibrium.

M3 - Conference contribution

T3 - Annals of the International Society of Dynamic Games

BT - Proceedings of the 14th International Symposium on Dynamic Games and Applications (ISDG2010)

A2 - Cardaliaguet, P.

A2 - Cressman, R.

PB - Birkhauser

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Engwerda JC, Salmah S. Feedback nash equilibria for linear quadratic descriptor differential games. In Cardaliaguet P, Cressman R, editors, Proceedings of the 14th International Symposium on Dynamic Games and Applications (ISDG2010). Boston: Birkhauser. 2010. (Annals of the International Society of Dynamic Games).