Necessary and sufficient stability condition by finite number of mathematical operations for time-delay systems of neutral type

MA Gomez, AV Egorov, S Mondié - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
We present a new necessary and sufficient condition of exponential stability of neutral-type
linear time invariant (LTI) systems with one delay. The new stability criterion is given in terms …

Global exponential dissipativity of neutral-type BAM inertial neural networks with mixed time-varying delays

L Duan, J Jian, B Wang - Neurocomputing, 2020 - Elsevier
This paper considers the global exponential dissipativity of neutral-type BAM inertial neural
networks with mixed time-varying delays. Firstly, we transform the proposed BAM inertial …

Stability of neutral type delay systems: A joint Lyapunov–Krasovskii and Razumikhin approach

IV Alexandrova, AP Zhabko - Automatica, 2019 - Elsevier
In this paper, a new stability criterion for linear time-delay systems of neutral type is
presented. By virtue of the well-known Krasovskii theorem, the system is exponentially …

Robust stability analysis for linear systems with distributed delays: a time‐domain approach

L Juárez, IV Alexandrova… - International Journal of …, 2020 - Wiley Online Library
This work is devoted to the robust stability analysis of linear systems with distributed delays.
The approach is based on recent results in the Lyapunov‐Krasovskii framework, where a …

Stability tests for neutral‐type delay systems: A delay Lyapunov matrix and piecewise linear approximation of the functional argument approach

G Portilla, IV Alexandrova… - International Journal of …, 2024 - Wiley Online Library
New necessary and sufficient stability tests for neutral‐type linear time delay systems are
presented. They are based on functionals with prescribed derivative depending on the delay …

A new stability criterion for neutral-type systems with one delay

MA Gomez, AV Egorov, S Mondié - IFAC-PapersOnLine, 2018 - Elsevier
A new necessary and sufficient exponential stability condition for time-delay systems of
neutral-type is provided. Its main distinctive is that, analogously to the delay free case, it is …

[HTML][HTML] On the robustness and estimation of the attraction region for a class of nonlinear time delay systems

IV Alexandrova - Applied Mathematics Letters, 2020 - Elsevier
A new Lyapunov matrix based approach to the robustness analysis developed in recent
years for linear time delay systems is nontrivially extended to address some problems of …

Stability test for neutral type delay systems: a piecewise linear approximation scheme

G Portilla, IV Alexandrova, S Mondié - IFAC-PapersOnLine, 2023 - Elsevier
A necessary and sufficient test for the stability of neutral type linear time-delay systems is
presented. Our approach combines the Lyapunov functional expressed in terms of the delay …

Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type

IV Alexandrova, AP Zhabko - International Journal of Robust …, 2022 - Wiley Online Library
In this article, we present a general construction of Lyapunov–Krasovskii functionals for a
class of neutral‐type time delay systems with a linear difference part and homogeneous right …

Lyapunov matrices for neutral time-delay systems with exponential kernel

AN Aliseyko - Systems & Control Letters, 2019 - Elsevier
In this contribution we study the problem of finding a Lyapunov matrix for neutral-type
systems with distributed delay and exponential kernel. In previous works an attempt was …