Regional Optimal Control Problem Governed by Distributed Bi-linear Hyperbolic Systems

  • Rabie Zine
  • Maawiya Ould Sidi
Regular Papers Control Theory and Applications


This paper considers the regional bi-linear control problem of an important class of hyperbolic systems. The objective is to bring the state solutions at time T close to a desired observations w d only on a sub-region ω along the spatial domain Ω. We prove the existence of solution by minimizing sequence method. The adjoint system of this problem is introduced and used to characterize the optimal control. A numerical approach is developed and illustrated successfully by simulations.


Adjoint systems bi-linear optimal control regional analysis simulations 


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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Sciences and Humanities in AflajPrince Sattam Bin Abdulaziz UniversityAl KharjKingdom of Saudi Arabia
  2. 2.Department of Mathematics, College of ScienceJouf UniversitySakakahKingdom of Saudi Arabia

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