Singular linear quadratic differential games with bounds on control |
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| Authors: | K Forouhar S J Gibson C T Leondes |
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| Institution: | 1. Engineering Systems Department, University of California, Los Angeles, California
2. Mechanics and Structures Department, University of California, Los Angeles, California
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| Abstract: | A class of two-persons zero-sum differential games with the possibility of singular arcs is considered. Under some assumptions, a sufficient condition for the existence of a saddle-point solution is derived. In this approach, the properties of convexity and concavity of the performance index are used to find the sufficient condition. It is observed that, unlike total singularity, the occurrence of partially singular arcs does not cause any problems for the existence of a unique saddle-point solution. |
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