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

Soufiane Yahyaoui () and Mohamed Ouzahra ()
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Soufiane Yahyaoui: ENS, University of Sidi Mohamed Ben Abdellah
Mohamed Ouzahra: ENS, University of Sidi Mohamed Ben Abdellah

Journal of Optimization Theory and Applications, 2025, vol. 206, issue 3, No 12, 29 pages

Abstract: 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.

Keywords: Unbounded bilinear systems; Optimal control; Variational method (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02751-z

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