Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
نویسندگان
چکیده
Explicit boundary dissipative conditions are given for the exponential stability in L2-norm of onedimensional linear hyperbolic systems of balance laws ∂tξ + Λ∂xξ −Mξ = 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. © 2011 Elsevier Ltd. All rights reserved.
منابع مشابه
Lyapunov exponential stability of linear hyperbolic systems of balance laws
Explicit boundary dissipative conditions are given for the exponential stability in L-norm of one-dimensional linear hyperbolic sytems of balance laws ∂tξ + Λ∂xξ −Mξ = 0 over a finite space 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 equ...
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ورودعنوان ژورنال:
- Automatica
دوره 48 شماره
صفحات -
تاریخ انتشار 2012