Diffusion and robustness of boundary feedback stabilization of hyperbolic systems (Q2683502)
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scientific article; zbMATH DE number 7653184
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffusion and robustness of boundary feedback stabilization of hyperbolic systems |
scientific article; zbMATH DE number 7653184 |
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Diffusion and robustness of boundary feedback stabilization of hyperbolic systems (English)
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13 February 2023
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The authors examine a linear system of two transport PDEs in the unit interval and investigate feedback controls of boundary type at two boundary points. They study the (de-)stabilizing effects of the zero equilibrium induced by time-delayed output feedback and viscosity. The method involves a careful analysis of the associated characteristic equations. The results are threefold: stabilizing effects without robustness induced by time-delayed output feedback, stabilizing effects with semicontinuous dependence of spectra with respect to viscosity perturbations, and an example with viscosity that demonstrates destabilizing effects with more complex boundary controls.
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feedback stabilization
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linear hyperbolic systems
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delay uncertainties
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diffusion
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viscosity
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