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International Conference on Applied Math and Computational Neuroscience
in Memory of David Cai

Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops

Speaker

Tatsien Li , Fudan University

Time

25 Jul, 09:00 - 09:40

Abstract

Two kinds of exact boundary controllabilities: the exact boundary controllability and the exact boundary controllability of nodal profile are first recalled and compared. For hyperbolic systems, both the exact boundary controllability and the exact boundary controllability of nodal profile can be realized on a tree-like network with general topology, howeverr, the exact boundary controllability can not be realized generally on a network with loops. In this talk, we consider the exact boundary controllability of nodal profile on a network with loops. Precisely speaking, on a network with a triangle-like loop, when nodal profiles are given at various kinds of nodes, different constructive methods can be used to get the corresponding exact boundary controllability of nodal profile for Saint-Venant system by means of boundary controls acting on suitable nodes, respectively. This reveals that the exact boundary controllability of nodal profile is quite different from the usual exact boundary controllability, and has relatively distinctive behaviors and characters. This is a joint work with Kaili Zhuang and Gunter Leugering.