Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
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DOI：
10.1016/j.automatica.2011.09.030
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发表时间：
2012-01-01
期刊：
影响因子：
6.4
通讯作者：
Coron, Jean-Michel
中科院分区：
文献类型：
--
作者：
Diagne, Ababacar;Bastin, Georges;Coron, Jean-Michel
当矩阵 M 边际对角稳定时，给出了平衡律偏导数 (t)xi + Lambda 偏导数 (x)xi - M xi = 0 在有限区间内的一维线性双曲系统的 L-2 范数指数稳定性的显式边界耗散条件。结果通过线性化 Saint-Venant-Exner 方程表示的开放通道边界反馈稳定的应用进行了说明。 (C) 2011 Elsevier Ltd. 保留所有权利。
Explicit boundary dissipative conditions are given for the exponential stability in L-2-norm of one-dimensional linear hyperbolic systems of balance laws partial derivative(t)xi + Lambda partial derivative(x)xi - M xi = 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. (C) 2011 Elsevier Ltd. All rights reserved.