Year: 2025
Type: article
Abstract: ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations. On this basis, new original unexpected results on the exponential stability are proposed. We demonstrate that choosing period of coefficients and delays of the gain in corresponding intervals allows to achieve the exponential stabilization in the cases considered as impossible when the standard technique was applied.
DOI: 10.1002/mma.70307
Authors: Alexander Domoshnitsky, Tsahi Shavit
Institution: Ariel University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $5,000
OpenAlex ID: W4416094233