By Tatsien Li,Ke Wang,Qilong Gu
This ebook offers a finished evaluate of the precise boundary controllability of nodal profile, a brand new form of certain boundary controllability influenced by means of a few useful applications. this type of controllability turns out to be useful in perform as it does no longer require any accurately given ultimate country to be attained at an appropriate time t=T through boundary controls, as an alternative it calls for the nation to precisely healthy any given call for (profile) on a number of nodes after an appropriate time t=T via boundary controls. during this publication we current a basic dialogue of this type of controllability for common 1-D first order quasilinear hyperbolic platforms and for common 1-D quasilinear wave equations on an period in addition to on a tree-like community utilizing a modular-structure construtive procedure, steered in LI Tatsien's monograph "Controllability and Observability for Quasilinear Hyperbolic Systems"(2010), and we identify a whole thought at the neighborhood special boundary controllability of nodal profile for 1-D quasilinear hyperbolic systems.
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