Stabilization of a heat equation with an integral type boundary condition
نویسندگان
چکیده
This paper considers the stabilization of a heat equation with an integral type nonlocal boundary condition. Via choosing new intermediate target control system undetermined term instead determined one appeared in normal backstepping method, we convert original into by transformation. At same time, prove exponential Lyapunov function method after appropriate linear feedback control. Then, combined invertibility and boundedness transformation, obtain stability closed-loop system. Finally, simulation shows validity main theorem.
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2021
ISSN: ['1742-6588', '1742-6596']
DOI: https://doi.org/10.1088/1742-6596/1978/1/012041