Feedback nash equilibria for linear quadratic descriptor differential games

J.C. Engwerda, S. Salmah

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In this paper, 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
Pages (from-to)625-631
JournalAutomatica
Volume48
Issue number4
DOIs
Publication statusPublished - 2012

Fingerprint

Feedback
Planning

Cite this

Engwerda, J.C. ; Salmah, S. / Feedback nash equilibria for linear quadratic descriptor differential games. In: Automatica. 2012 ; Vol. 48, No. 4. pp. 625-631.
@article{b8ae820f7d3043fdafdeabb4283ce5c4,
title = "Feedback nash equilibria for linear quadratic descriptor differential games",
abstract = "In this paper, 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.",
author = "J.C. Engwerda and S. Salmah",
year = "2012",
doi = "10.1016/j.automatica.2012.01.004",
language = "English",
volume = "48",
pages = "625--631",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier Limited",
number = "4",

}

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

In: Automatica, Vol. 48, No. 4, 2012, p. 625-631.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Feedback nash equilibria for linear quadratic descriptor differential games

AU - Engwerda, J.C.

AU - Salmah, S.

PY - 2012

Y1 - 2012

N2 - In this paper, 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 paper, 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.

U2 - 10.1016/j.automatica.2012.01.004

DO - 10.1016/j.automatica.2012.01.004

M3 - Article

VL - 48

SP - 625

EP - 631

JO - Automatica

JF - Automatica

SN - 0005-1098

IS - 4

ER -