OBSERVABILITY AND CONTROLLABILITY ANALYSIS OF BLOOD FLOW NETWORK

被引：5

作者：

Zong, Chun ^{[1
]}

Xu, Gen Qi ^{[1
]}

机构：

[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2014年 / 4卷 / 04期

关键词：

Controllability; observability; vascular bifurcation; pressure and mass coupling condition; separability; RIESZ BASIS PROPERTY; WAVE-PROPAGATION; MODEL; EQUATIONS; SYSTEMS; ODES; 3D;

D O I：

10.3934/mcrf.2014.4.521

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the initial-boundary value problem of a binary bifurcation model of the human arterial system. Firstly, we obtain a new pressure coupling condition at the junction based on the mass and energy conservation law. Then, we prove that the linearization system is interior well-posed and L2 well-posed by using the semigroup theory of bounded linear operators. Further, by a complete spectral analysis for the system operator, we prove the completeness and Riesz basis property of the (generalized) eigenvectors of the system operator. Finally, we present some results on the boundary exact controllability and the boundary exact observability for the system.

引用

页码：521 / 554

页数：34

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