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.
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页码：393 / 415
页数：23
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