eprintid: 22145 rev_number: 7 eprint_status: archive userid: 6 dir: disk0/00/02/21/45 datestamp: 2016-09-29 03:26:11 lastmod: 2016-09-29 03:26:11 status_changed: 2016-09-29 03:26:11 type: article metadata_visibility: show creators_name: Musthofa, Muhammad Wakhid title: The Open-Loop Zero-Sum Linear Quadratic Impulse Free Descriptor Differential Game ispublished: pub subjects: Matematika divisions: artkl full_text_status: public keywords: zero-sum linear quadratic differential game, open-loop information structure, descriptor systems. abstract: In this paper we study the open-loop zero-sum linear quadratic differential game for descriptor systems that have index one. We present both necessary and sufficient conditions for the existence of an open-loop Nash equilibrium. We also relate the existence of an open-loop Nash equilibrium with the theory of invariant subspaces. Keywords: zero-sum linear quadratic differential game, open-loop information structure, descriptor systems. date: 2013-01-01 date_type: published publication: International Journal of Applied Mathematics and Statistics volume: Vol.35 number: No. 5 publisher: CESER Publications pagerange: 29-44 refereed: TRUE issn: 0973-7545 citation: Musthofa, Muhammad Wakhid (2013) The Open-Loop Zero-Sum Linear Quadratic Impulse Free Descriptor Differential Game. International Journal of Applied Mathematics and Statistics, Vol.35 (No. 5). pp. 29-44. ISSN 0973-7545 document_url: https://digilib.uin-suka.ac.id/id/eprint/22145/1/The%20Open-Loop%20Zero-Sum%20Linear%20Quadratic%20Impulse%20Free.pdf