Interconnected systems for the Lyapunov’s linear operator equations in the Hilbert space
This paper investigates a perturbed interconnected system for linear operator Lyapunov equations in Hilbert space. We establish solvability conditions for the operator system in cases where the generating system of equations does and does not have solutions. Solutions are sought in the form of a com...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-03-01
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| Series: | Franklin Open |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2773186324001312 |
| Summary: | This paper investigates a perturbed interconnected system for linear operator Lyapunov equations in Hilbert space. We establish solvability conditions for the operator system in cases where the generating system of equations does and does not have solutions. Solutions are sought in the form of a completely convergent series. |
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| ISSN: | 2773-1863 |