Boundary stabilization of hyperbolic balance laws with characteristic boundaries

• Autores: Wen-An Yong
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 101, 2019, págs. 252-257
• Idioma: inglés
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• Resumen

  • This article is concerned with boundary stabilization of one-dimensional linear hyperbolic systems with characteristic boundaries. We assume that the systems satisfy a physically relevant structural stability condition for hyperbolic relaxation problems, which describe various non-equilibrium phenomena. By introducing new and simple Lyapunov functions, the structural stability condition is used to derive stabilization results for problems with characteristic boundaries. The result is illustrated with an application to the transport of neurofilaments in axons—a phenomenon studied in neuroscience.