Abstract
Abstract This paper presents that a boundary feedback controller is proposed to stabilize the Rayleigh model. Firstly, we transform the initial equation into a second-order hyperbolic equation. Secondly, by using a backstepping integral coordinate transformation, we transform the simplified second-order hyperbolic equation into a stable target system. Meanwhile, a gain kernel equation will be generated during the conversion process. By solving the gain kernel equation, our goal is to design the controller based on information from the gain kernel. Finally, simulation results demonstrate the effectiveness of our designed controller.
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