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Exact Boundary Controllability for 1-D Quasilinear Hyperbolic Systems with a Vanishing Characteristic Speed

Coron, Jean-Michel; Glass, Olivier; Wang, Zhiqiang (2009), Exact Boundary Controllability for 1-D Quasilinear Hyperbolic Systems with a Vanishing Characteristic Speed, SIAM Journal on Control and Optimization, 48, 5, p. 3105-3122. http://dx.doi.org/10.1137/090749268

Type
Article accepté pour publication ou publié
External document link
http://arxiv.org/abs/0902.2568v1
Date
2009
Journal name
SIAM Journal on Control and Optimization
Volume
48
Number
5
Publisher
SIAM
Pages
3105-3122
Publication identifier
Metadata
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Author(s)
Coron, Jean-Michel
Glass, Olivier
Wang, Zhiqiang
Abstract (EN)
The general theory on exact boundary controllability for general first order quasilinear hyperbolic systems requires that the characteristic speeds of the system do not vanish. This paper deals with exact boundary controllability, when this is not the case. Some important models are also shown as applications of the main result. The strategy uses the return method, which allows one in certain situations to recover nonzero characteristic speeds.
Subjects / Keywords
quasilinear hyperbolic system; vanishing characteristic speed; exact boundary controllability; return method