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- W2027969830 abstract "We investigate the finite-time boundary stabilization of a one-dimensional first order quasilinear hyperbolic system of diagonal form on [0,1]. The dynamics of both boundary controls are governed by a finite-time stable ODE. The solutions of the closed-loop system issuing from small initial data in Lip$([0,1])$ are shown to exist for all times and to reach the null equilibrium state in finite time. When only one boundary feedback law is available, a finite-time stabilization is shown to occur roughly in a twice longer time. The above feedback strategy is then applied to the Saint-Venant system for the regulation of water flows in a network of canals." @default.
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- W2027969830 date "2014-01-01" @default.
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- W2027969830 title "Finite-Time Stabilization of $2times2$ Hyperbolic Systems on Tree-Shaped Networks" @default.
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