Exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree‐like network of strings | Zendy

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Exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree‐like network of strings

Author(s) -

Wang Ke,

Gu Qilong

Publication year - 2013

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.2881

Subject(s) - controllability , mathematics , constructive , boundary (topology) , planar , piecewise , topology (electrical circuits) , mathematical analysis , boundary value problem , tree (set theory) , wave equation , combinatorics , computer science , computer graphics (images) , process (computing) , operating system

Based on the theory of semi‐global piecewise C 2 solutions to 1D quasilinear wave equations, the local exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree‐like network of strings with general topology is obtained by a constructive method. The principles of providing nodal profiles and of choosing and transferring boundary controls are presented, respectively. Copyright © 2013 John Wiley & Sons, Ltd.

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