Necessary and sufficient stability conditions for integral delay systems
Systems and Control
2023-09-12 v1 Systems and Control
Dynamical Systems
Abstract
A Lyapunov-Krasovskii functional with prescribed derivative whose construction does not require the stability of the system is introduced. It leads to the presentation of stability/instability theorems. By evaluating the functional at initial conditions depending on the fundamental matrix we are able to present necessary and sufficient stability conditions expressed exclusively in terms of the delay Lyapunov matrix for integral delay systems. Some examples illustrate and validate the stability conditions.
Cite
@article{arxiv.2108.05854,
title = {Necessary and sufficient stability conditions for integral delay systems},
author = {Reynaldo Ortiz and Alexey Egorov and Sabine Mondié},
journal= {arXiv preprint arXiv:2108.05854},
year = {2023}
}
Comments
This paper has been submitted to International Journal of Robust and Nonlinear Control