波动方程耦合系统的近似群混合同步

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-11-10 DOI:10.3233/asy-231865

Tatsien Li, Bopeng Rao

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引用次数: 0

摘要

我们首先证明了在系统内混合控制适当的平衡重划分下，卡尔曼秩条件对于伴随系统解的唯一性仍然是充分必要的，因此对于混合控制的主系统的近似可控性也是充分必要的。在此基础上，研究了群近似同步状态在控制条件下的稳定性。

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Approximate mixed synchronization by groups for a coupled system of wave equations

We first show that under a suitable balanced repartition of the mixed controls within the system, Kalman’s rank condition is still necessary and sufficient for the uniqueness of solution to the adjoint system associated with incomplete internal and boundary observations, therefore for the approximate controllability of the primary system by means of mixed controls. Then we study the stability of the approximately synchronizable state by groups with respect to applied controls.

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.