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.
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页数：26
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