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• W3035133744 abstract "The paper concerns the phenomenon of finite time stabilization in initial boundary value problems for nonautonomous decoupled linear first-order one-dimensional hyperbolic systems. We establish sufficient and necessary conditions ensuring that solutions stabilize to zero in a finite time for any initial $L^2$-data. We give a combinatorial criterion stating that the stabilization occurs if and only if the matrix of reflection boundary coefficients corresponds to a directed acyclic graph. An equivalent algebraic criterion is that the adjacency matrix of this graph is nilpotent. In the case of autonomous hyperbolic systems we also provide a spectral stabilization criterion. Moreover, we analyse robustness properties of all these criteria." @default.
• W3035133744 created "2020-06-19" @default.
• W3035133744 creator A5040556252 @default.
• W3035133744 creator A5049300409 @default.
• W3035133744 date "2020-06-09" @default.
• W3035133744 modified "2023-09-27" @default.
• W3035133744 title "Finite Time Stabilization of Nonautonomous First Order Hyperbolic Systems" @default.
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• W3035133744 hasPublicationYear "2020" @default.
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