ON THE MATHEMATICAL-MODEL FOR LINEAR ELASTIC-SYSTEMS WITH ANALYTIC DAMPING

被引：108

作者：

HUANG, F

机构：

[1] Sichuan Univ, China

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1988年 / 26卷 / 03期

关键词：

Mathematical Techniques--Differential Equations;

D O I：

10.1137/0326041

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the present paper we investigate linear elastic systems with damping d2y/dt2 + Bdy/dt + Ay = 0 in Hilbert spaces, where A is a positive definite unbounded linear operator and B is a closed linear operator related in various ways to Aα (&leα&le1). We discuss the spectral property of these systems and obtain some fundamental results for the holomorphic property and the exponential stability of the semigroups associated with these systems.

引用

页码：714 / 724

页数：11

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