Two sided boundary stabilization of two linear hyperbolic PDEs in minimum time
Résumé
— We solve the problem of stabilizing two coupled linear hyperbolic PDEs using actuation at both boundary of the spatial domain in minimum time. We design a novel Fredholm transformation similarly to backstepping approaches. This yields an explicit full-state feedback law that achieves the theoretical lower bound for convergence time to zero.
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Two sided boundary stabilization of two linear hyperbolic PDEs in minimum time.pdf (622.94 Ko)
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