On stability of nonlinear hyperbolic systems with reaction and switching

被引：0
作者：
Yang, Hao [1 ]
Jiang, Bin [1 ]
Cocquempot, Vincent
Aitouche, Abdel
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing, Peoples R China
来源：
2013 AMERICAN CONTROL CONFERENCE (ACC) | 2013年
关键词：
Nonlinear hyperbolic partial differential equation; Switched systems; Stability; Boundary control; BOUNDARY CONTROL;
D O I：
暂无
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 paper investigates the exponential stability in L-2 norm of scalar nonlinear hyperbolic systems of balance laws with the reaction that may be accumulative or dissipative. Two Lyapunov-based stability criteria that depend on the system parameters and boundary data are proposed with fully considering the reactions' characteristics. The new results can help to construct a common Lyaunov function to stabilize the switched nonlinear hyperbolic systems under arbitrary switching. Several traffic system examples are taken to illustrate the theoretical results.
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页码：59 / 64
页数：6
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