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Applied Mathematics Research eXpress (2008) Vol. 2008 : article ID abm012, 49 pages, doi:10.1093/amrx/abm012 published on January 30, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Complete Solution of a Differential Game with Linear Dynamics and Bounded Controls

Valery Y. Glizer1,2, and Vladimir Turetsky1

1 Faculty of Aerospace Engineering, Technion—Israel Institute of Technology, Haifa 32000, Israel
2 Department of Mathematics, Ort Braude Academic College of Engineering, P.O.B. 78, Karmiel 21982, Israel

Correspondence: Correspondence to be sent to: Vladimir Turetsky, Faculty of Aerospace Engineering, Technion - Israel Institute of Technology, Haifa 32000, Israel. e-mail: turetsky{at}aerodyne.technion.ac.il

A zero-sum finite-horizon differential game with linear dynamics and bounded controls is considered. The target set is a given hyperplane in the state space. The cost function is the distance between the terminal state and this hyperplane. The complete game solution is obtained in two classes of controls: open-loop and feedback-based controls.


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