Boundary-Value Problems for the Lyapunov Equation. I

Pub Date : 2024-09-06 DOI:10.1007/s11253-024-02327-6

Oleksandr Boichuk, Evhen Panasenko, Oleksandr Pokutnyi

引用次数: 0

Abstract

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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Lyapunov 方程的边值问题I

我们研究了 Lyapunov 算子微分方程的边界值问题。通过使用摩尔-彭罗斯伪逆算子理论及其广义，我们建立了广义解存在的条件，并提出了构建广义解的算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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