By Tatsien Li, Ke Wang, Qilong Gu
This publication presents a accomplished review of the precise boundary controllability of nodal profile, a brand new type of specified boundary controllability inspired via a few sensible applications. this type of controllability comes in handy in perform as it does no longer require any accurately given ultimate country to be attained at an appropriate time t=T by way of 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 booklet we current a basic dialogue of this type of controllability for common 1-D first order quasilinear hyperbolic platforms and for normal 1-D quasilinear wave equations on an period in addition to on a tree-like community utilizing a modular-structure construtive strategy, steered in LI Tatsien's monograph "Controllability and Observability for Quasilinear Hyperbolic Systems"(2010), and we identify a whole idea at the neighborhood special boundary controllability of nodal profile for 1-D quasilinear hyperbolic systems.
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