Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws

Authors:	Ababacar Diagne Georges Bastin Jean-Michel Coron

Affiliation:	1. Kuwait University, Faculty of Science, Department of Mathematics, Safat 13060, Kuwait;2. UR Analysis and Control of PDEs, UR13ES64, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, Monastir 5019, Tunisia

Abstract:	Explicit boundary dissipative conditions are given for the exponential stability in $L^{2}$ -norm of one-dimensional linear hyperbolic systems of balance laws $?_{t} ξ + Λ ?_{x} ξ ? M ξ = 0$ over a finite interval, when the matrix $M$ is marginally diagonally stable. The result is illustrated with an application to boundary feedback stabilisation of open channels represented by linearised Saint–Venant–Exner equations.

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