Infinite dimensional differential games with hybrid controls |
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Authors: | A J Shaiju Sheetal Dharmatti |
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Institution: | (1) Department of Mathematics, Indian Institute of Science, Bangalore, 560 012, India;(2) TIFR Centre, IISc, Campus, Bangalore, 560 012, India |
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Abstract: | A two-person zero-sum infinite dimensional differential game of infinite duration with discounted payoff involving hybrid
controls is studied. The minimizing player is allowed to take continuous, switching and impulse controls whereas the maximizing
player is allowed to take continuous and switching controls. By taking strategies in the sense of Elliott-Kalton, we prove
the existence of value and characterize it as the unique viscosity solution of the associated system of quasi-variational
inequalities. |
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Keywords: | Differential game strategy hybrid controls value viscosity solution |
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