Boundary-Value Problems for the Lyapunov Equation. I

被引：0

作者：

Boichuk, Oleksandr ^{[1
]}

Panasenko, Evhen ^{[2
]}

Pokutnyi, Oleksandr ^{[3
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

[2] Zaporizhzhya Natl Univ, Zaporizhzhya, Ukraine

[3] T Shevchenko Kyiv Natl Univ, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2024年 / 76卷 / 03期

关键词：

HILBERT-SPACE; STABILITY; OPERATOR; SYSTEMS;

D O I：

10.1007/s11253-024-02327-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study boundary-value problems for the Lyapunov operator-differential equation. By using the theory of Moore-Penrose pseudoinverse operators and its generalizations, we establish conditions for the existence of generalized solutions and propose algorithms for their construction.

引用

页码：393 / 415

页数：23

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