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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2019

Boundary Exponential Stabilization of 1-Dimensional Inhomogeneous Quasi-Linear Hyperbolic Systems

Résumé

This paper deals with the problem of boundary stabilization of first-order $n\times n$ inhomogeneous quasi-linear hyperbolic systems. A backstepping method is developed. The main result supplements the previous works on how to design multiboundary feedback controllers to achieve exponential stability with arbitrary decay rate of the original nonlinear system in the spatial $H^2$ sense.
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Dates et versions

hal-02437227 , version 1 (13-01-2020)

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Long Hu, Rafael Vazquez, Florent Di Meglio, Miroslav Krstic. Boundary Exponential Stabilization of 1-Dimensional Inhomogeneous Quasi-Linear Hyperbolic Systems. SIAM Journal on Control and Optimization, 2019, 57 (2), pp.963-998. ⟨10.1137/15M1012712⟩. ⟨hal-02437227⟩
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