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Exact boundary controllability of nodal profile for quasilinear hyperbolic systems in a tree‐like network
Author(s) -
Gu Qilong,
Li Tatsien
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1410
Subject(s) - mathematics , controllability , nodal , boundary (topology) , tree (set theory) , boundary value problem , mathematical analysis , control theory (sociology) , computer science , control (management) , artificial intelligence , medicine , anatomy
In this paper, the exact boundary controllability of nodal profile is established for quasilinear hyperbolic systems with general nonlinear boundary and interface conditions in a tree‐like network with general topology. The basic principles for giving nodal profiles and for choosing boundary controls are presented, respectively. Copyright © 2011 John Wiley & Sons, Ltd.