A novel necessary and sufficient condition for the stability of \(2\times 2\) first-order linear hyperbolic systems

In this paper, we establish a necessary and sufficient stability condition for a class of two coupled first-order linear hyperbolic partial differential equations. Through a backstepping transform, the problem is reformulated as a stability problem for an integral difference equation, that is, a dif...

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Veröffentlicht in:arXiv.org 2024-12
Hauptverfasser: Balogoun, Ismaïla, Mazanti, Guilherme, Auriol, Jean, Islam Boussaada
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Sprache:eng
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