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• W3185524872 abstract "In this work, the problem of stabilization of general systems of linear transport equations with in-domain and boundary couplings is investigated. It is proved that the unstable part of the spectrum is of finite cardinal. Then, using the pole placement theorem, a linear full state feedback controller is synthesized to stabilize the unstable finite-dimensional part of the system. Finally, by a careful study of semigroups, we prove the exponential stability of the closed-loop system. As a by product, the linear control constructed before is saturated and a fine estimate of the basin of attraction is given." @default.
• W3185524872 created "2021-08-02" @default.
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• W3185524872 date "2022-03-31" @default.
• W3185524872 modified "2023-10-14" @default.
• W3185524872 title "Spectral stabilization of linear transport equations with boundary and in-domain couplings" @default.
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• W3185524872 doi "https://doi.org/10.5802/crmath.288" @default.
• W3185524872 hasPublicationYear "2022" @default.
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