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• W2783647710 abstract "We consider a reaction-diffusion PDE under continuously applied boundary control that contains a constant delay. The point measurements are sampled in time and transmitted through a network with a time-varying delay. We construct an observer that predicts the value of the state allowing to compensate for the constant boundary delay. Using a time-varying injection gain, we ensure that the estimation error vanishes exponentially with a desired decay rate if the delays and sampling intervals are small enough while the number of sensors is large enough. The stability conditions, obtained via a Lyapunov-Krasovskii functional, are formulated in terms of linear matrix inequalities. By applying the backstepping transformation to the future state estimation, we derive a boundary controller that guarantees the exponential stability of the closed-loop system with an arbitrary decay rate smaller than that of the observer. The results are demonstrated by an example." @default.
• W2783647710 created "2018-01-26" @default.
• W2783647710 creator A5007830129 @default.
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• W2783647710 date "2017-12-01" @default.
• W2783647710 modified "2023-09-26" @default.
• W2783647710 title "Delayed boundary control of a heat equation under discrete-time point measurements" @default.
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• W2783647710 doi "https://doi.org/10.1109/cdc.2017.8263827" @default.
• W2783647710 hasPublicationYear "2017" @default.
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