Year: 2023
Type: article
Abstract: In this paper, we will investigate the optimal control problem for unbounded bilinear systems, with (p,q)-admissible control operators. We will first study the case of finite time-horizon with unconstrained or constrained endpoint. This result is further applied to build the optimal control for infinite time horizon. Finally, we solve the bilinear optimal control for the transport equation. Then we consider the fractional diffusion equation, for which we prove the strong stabilisation by an optimal time-varying feedback control.
Source: Journal of Control and Decision
Authors: Soufiane Yahyaoui, Mohamed Ouzahra
Institution: Sidi Mohamed Ben Abdellah University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4386519084