Exact boundary controllability of nodal profile for quasilinear hyperbolic systems in a tree‐like network |
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| Authors: | Qilong Gu Tatsien Li |
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| Institution: | 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, People's Republic of China;2. School of Mathematical Sciences, Fudan University, Shanghai 200433, People's Republic of China;3. Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai 200433, People's Republic of China;4. Nonlinear Mathematical Modeling and Methods Laboratory, Fudan University, Shanghai 200433, People's Republic of China |
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| Abstract: | 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. |
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| Keywords: | exact boundary controllability nodal profile quasilinear hyperbolic system tree‐like network |
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