Finite-time boundary stabilization of the reaction-diffusion system with switching time-delay input
2021 ◽
pp. 014233122110325
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The paper is devoted to the study of boundary finite-time control for a reaction-diffusion (RD) system with switching time-delayed input. The RD system with switching time-delay input is converted to a switching system of RD equation cascaded with a transport equation with non-delay boundary input. Next, a novel switching controller is designed for the cascaded RD-transport system based on the backstepping technique, and this causes the closed-loop system to be convergence in a finite-time. Simulation results are provided to exhibit the effectiveness of the proposed method.
1987 ◽
Vol 109
(4)
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pp. 320-327
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2020 ◽
pp. 014233122094650
2012 ◽
Vol 190-191
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pp. 1175-1178
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2011 ◽
Vol 63-64
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pp. 974-977
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2008 ◽
Vol 130
(4)
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2018 ◽
Vol 41
(5)
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pp. 1348-1360
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