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arXiv · 1512.03539

Boundary exponential stabilization of 1-D inhomogeneous quasilinear hyperbolic systems

Long Hu·Rafael Vazquez·Florent Di Meglio·Miroslav Krstic
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Abstract

This paper deals with the problem of boundary stabilization of first-order n\times n inhomogeneous quasilinear hyperbolic systems. A backstepping method is developed. The main result supplements the previous works on how to design multi-boundary feedback controllers to realize exponential stability of the original nonlinear system in the spatial H^2 sense.

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Long Hu, Rafael Vazquez, Florent Di Meglio, Miroslav Krstic. 2015-12-11. Boundary exponential stabilization of 1-D inhomogeneous quasilinear hyperbolic systems. https://arxiv.org/abs/1512.03539

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