Boundary Stabilization of Heat Equation with Multi-Point Heat Source
Keyword(s):
In this paper, we consider boundary stabilization problem of heat equation with multi-point heat source. Firstly, a state feedback controller is designed mainly by backstepping approach. Under the designed state controller, the exponential stability of closed-loop system is guaranteed. Then, an observer-based output feedback controller is proposed. We prove the exponential stability of resulting closed-loop system using operator semigroup theory. Finally, the designed state and output feedback controllers are effective via some numerical simulations.
2018 ◽
Vol 141
(2)
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2011 ◽
Vol 314-316
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pp. 374-379
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2019 ◽
Vol 37
(3)
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pp. 752-764
2014 ◽
Vol 635-637
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pp. 1443-1446
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2021 ◽
2019 ◽
Vol 20
(1)
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pp. 3-15
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