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

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.