Boundary exponential stabilization of 1-D inhomogeneous quasilinear hyperbolic systems

2015/12/11 by Hu, Long, Vazquez, Rafael, Di Meglio, Florent +1
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1512.03539

Abstract

This paper deals with the problem of boundary stabilization of first-order n× 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 H² sense.

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