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Optimal Control for a New Class of Unbounded Non-Homogeneous Bilinear Systems

Author

Listed:
  • Soufiane Yahyaoui

    (ENS, University of Sidi Mohamed Ben Abdellah)

  • Mohamed Ouzahra

    (ENS, University of Sidi Mohamed Ben Abdellah)

Abstract

This article addresses the optimal control problem involving a new class of bilinear systems with unbounded control operators, namely those who are bounded from a space V to its dual $$V^*$$ V ∗ w.r.t a pivot space X. The analysis begins with the optimal control problem over a finite time interval, applied to endpoint problems, and then extends to the infinite time interval case with applications to stabilization problems. The study also includes applications to reaction-diffusion equations involving various types of control actions.

Suggested Citation

  • Soufiane Yahyaoui & Mohamed Ouzahra, 2025. "Optimal Control for a New Class of Unbounded Non-Homogeneous Bilinear Systems," Journal of Optimization Theory and Applications, Springer, vol. 206(3), pages 1-29, September.
    • Handle: RePEc:spr:joptap:v:206:y:2025:i:3:d:10.1007_s10957-025-02751-z
    DOI: 10.1007/s10957-025-02751-z
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