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• W2968331318 abstract "Sampled-data observers/controllers under sampled measurements were suggested in the past for parabolic systems. In the present paper, for the first time, a sampled-data observer is constructed for a hyperbolic system governed by 1D semilinear wave equation with viscous damping. The measurements are sampled in space and time. Sufficient conditions for the exponential stability of the estimation error system are derived by using the time-delay approach to sampled-data control and an appropriate Lyapunov-Krasovskii functional. The presented numerical examples including observer design for unstable damped sine-Gordon equation illustrate the efficiency of the method." @default.
• W2968331318 created "2019-08-22" @default.
• W2968331318 creator A5007830129 @default.
• W2968331318 creator A5051820869 @default.
• W2968331318 date "2019-06-01" @default.
• W2968331318 modified "2023-09-25" @default.
• W2968331318 title "Sampled-Data observers for semilinear damped wave equations under point measurements" @default.
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• W2968331318 doi "https://doi.org/10.23919/ecc.2019.8795756" @default.
• W2968331318 hasPublicationYear "2019" @default.
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