Stability of linear equations with differentiable operators in a hilbert space

被引：2

作者：

Gil, Michael ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, POB 653, IL-84105 Beer Sheva, Israel

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2020年 / 37卷 / 01期

关键词：

differential equation in a Hilbert space; linear non-autonomous equation; stability; ASYMPTOTIC STABILITY; EVOLUTION;

D O I：

10.1093/imamci/dny035

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 consider the equation du(t)/dt = A(t)u(t) with an unbounded operator A(t) in a Hilbert space having a bounded strong derivative. We derive the exponential and L-2 stability conditions. An illustrative example is presented.

引用

页码：19 / 26

页数：8

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