Boundary stabilization of hyperbolic balance laws with characteristic boundaries

被引：14
作者：
Yong, Wen-An [1 ,2 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Zhou Pei Yuan Ctr Appl Math, Beijing 100084, Peoples R China
来源：
AUTOMATICA | 2019年 / 101卷
关键词：
Boundary stabilization; Hyperbolic relaxation systems; Feedback boundary control; Characteristic boundaries; Transport of neurofilaments; EXPONENTIAL STABILITY; SYSTEMS; CONTROLLABILITY; NEUROFILAMENTS; EQUATIONS; NETWORKS;
D O I：
10.1016/j.automatica.2018.12.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：252 / 257
页数：6
相关论文
共 35 条
  • [31] Yong WA, 2001, PROG NONLIN, V47, P259
  • [32] Singular perturbations of first-order hyperbolic systems with stiff source terms
    Yong, WA
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 155 (01) : 89 - 132
  • [33] An interesting class of partial differential equations
    Yong, Wen-An
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (03)
  • [34] Conservation-dissipation formalism of irreversible thermodynamics
    Zhu, Yi
    Hong, Liu
    Yang, Zaibao
    Yong, Wen-An
    [J]. JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS, 2015, 40 (02) : 67 - 74
  • [35] Zuazua E, 2007, HBK DIFF EQUAT EVOL, V3, P527, DOI 10.1016/S1874-5717(07)80010-7
1234