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[02312] Fractional controllability problem of semilinear hyperbolic systems

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @F402
  • Type : Contributed Talk
  • Abstract : In this communication, we talk about the fractional controllability problem of internally controlled semilinear hyperbolic systems. in the first method, we show the controllability of the linear system using Hilbert uniqueness method HUM, and the fractional controllability problem is solved applying Schauder’s fixed point theorem. Secondly, the analytics study is then attempted by employing generalized inverse methods and changed also into a fixed point problem. Hence, we give an approximate approach to find a control that brings the Riemann-Liouville fractional attained position (resp. speed) to the required position yd1 (resp. speed yd2). Finally, computing simulations are used to confirm the obtained results.
  • Classification : 57-XX, 26-XX, 53-XX
  • Format : Online Talk on Zoom
  • Author(s) :
    • Mustapha Benoudi (Moulay Ismail University)