1. Home
    2. Journals
    3. Proceedings – Mathematical Sciences
    4. Volume 117
    5. Issue 2

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/117/02/0233-0257

    • Keywords

       

      Differential game; strategy; hybrid controls; value; viscosity solution.

    • 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.

    • Author Affiliations

       

      A J Shaiju1 Sheetal Dharmatti2

      1. Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India
      2. TIFR Centre, IISc Campus, Bangalore 560 012, India

    • Dates

       
      Published
      May 2007
      Manuscript received
      24 September 2005
      Manuscript revised
      23 August 2006

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2022-2023 Indian Academy of Sciences, Bengaluru.

Contact | Site index