Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems

被引：4

作者：

Li, Tatsien ^{[1
]}

Rao, Bopeng ^{[2
,3
]}

机构：

[1] Fudan Univ, Sch Math Sci, Nonlinear Math Modeling & Methods Lab, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

[2] Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France

[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2020年 / 26卷

基金：

中国国家自然科学基金;

关键词：

uniqueness; elliptic systems; asymptotic synchronization; condition of compatibility; Kalman's rank condition; ENERGY DECAY; BOUNDARY CONTROL; CONTINUATION; STABILIZATION; EQUATIONS;

D O I：

10.1051/cocv/2020062

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We show that under Kalman's rank condition on the coupling matrices, the uniqueness of solution to a complex system of elliptic operators can be reduced to the observability of a scalar problem. Based on this result, we establish the asymptotic stability and the asymptotic synchronization for a large class of linear dissipative systems.

引用

页数：26

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