• On infinite-dimensional control systems with state and control constraints

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/100/01/0065-0077

    • Keywords

       

      Relaxation; relaxed system; lower semicontinuous and upper semicontinuous multifunction; continuous selections; convex subdifferential; controllability

    • Abstract

       

      In this paper we examine infinite-dimensional control systems governed by semilinear evolution equations and having both state and control constraint. We introduce the relaxed system and show that the original trajectories are dense in an appropriate function space in the relaxed ones. We also determine the dependence of the solution set on the initial conditions. Then using those results we establish necessary and sufficient conditions for optimality for some optimization problems. Finally we prove some controllability results.

    • Author Affiliations

       

      Nikolaos S Papageorgiou1

      1. 1015 Department of Mathematics, University of California, Davis, California - 95616, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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