Proceedings Mathematical Sciences

, Volume 117, Issue 2, pp 233–257 | Cite as

Infinite dimensional differential games with hybrid controls

  • A. J. Shaiju
  • Sheetal DharmattiEmail author


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.


Differential game strategy hybrid controls value viscosity solution 


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Copyright information

© Indian Academy of Sciences 2007

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of ScienceBangaloreIndia
  2. 2.TIFR Centre, IIScCampusBangaloreIndia

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