Work

Interconnected systems for the Lyapunov’s linear operator equations in the Hilbert space

Year: 2024

Type: article

Abstract: 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.

Source: Franklin Open

DOI: 10.1016/j.fraope.2024.100201

Authors: Oleksandr Pokutnyi, Yevhen Panasenko, Olena Polishchuk

Institutions: Institute of Mathematics, Zaporizhzhia National University, Taras Shevchenko National University of Kyiv

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

Funder: Simons Foundation