The singular zero-sum differential game with stability using H∞ control theory

A.A. Stoorvogel

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)

Abstract

In this paper we consider the zero-sum, infinite-horizon, linear quadratic differential game. We derive sufficient conditions for the existence of (almost) equilibria as well as necessary conditions. Contrary to all classical references we allow for singular weighting on the minimizing player in the cost criterion. It turns out that this problem has a strong relation with the singularH 8 problem with state feedback, i.e., theH 8 problem where the direct feedthrough matrix from control input to output is not necessarily injective.
Original languageEnglish
Pages (from-to)121-138
Number of pages18
JournalMathematics of Control, Signals, and Systems
Volume4
Issue number2
DOIs
Publication statusPublished - 1991

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