New stability conditions for systems with distributed delays

O Solomon, E Fridman - Automatica, 2013 - Elsevier
In the present paper, sufficient conditions for the exponential stability of linear systems with
infinite distributed delays are presented. Such systems arise in population dynamics, in …

Complete quadratic Lyapunov functionals for distributed delay systems

A Seuret, F Gouaisbaut, Y Ariba - Automatica, 2015 - Elsevier
This paper is concerned with the stability analysis of distributed delay systems using
complete-Lyapunov functionals. Numerous articles aim at approximating their parameters …

Stabilization of uncertain linear distributed delay systems with dissipativity constraints

Q Feng, SK Nguang - Systems & Control Letters, 2016 - Elsevier
This paper examines the problem of stabilizing linear distributed delay systems with
nonlinear distributed delay kernels and dissipativity constraints. Specifically, the nonlinear …

Stability and performance analysis of linear positive systems with delays using input–output methods

C Briat - International Journal of Control, 2018 - Taylor & Francis
It is known that input–output approaches based on scaled small-gain theorems with constant
D-scalings and integral linear constraints are non-conservative for the analysis of some …

Global regulation for feedforward systems with both discrete delays and distributed delays

Q Liu, X Zhang, H Li - Automatica, 2020 - Elsevier
In this work, a global regulation controller with a time-varying gain is constructed for a class
of feedforward nonlinear time-delay systems, and the time-varying function with the …

An iterative method for suboptimal control of linear time-delayed systems

SM Mirhosseini-Alizamini, S Effati, A Heydari - Systems & Control Letters, 2015 - Elsevier
This article presents a new approach for solving the Optimal Control Problem (OCP) of linear
time-delay systems with a quadratic cost functional. The proposed method can also be used …

Necessary stability conditions for integral delay systems

R Ortiz, S Del Valle, AV Egorov… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this article, necessary stability conditions for integral delay systems with distributed single
delay are presented. Based on new properties that connect the Lyapunov delay matrix and …

Finite Lyapunov Stability Test for a Class of Linear Systems With Pointwise and Distributed Delays

A Castaño, C Cuvas, A Egorov… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
This contribution presents two exponential stability criteria (necessary and sufficient
conditions) for linear systems with multiple pointwise and distributed delays. An important …

[HTML][HTML] The stability of the systems with command saturation, command delay, and state delay

M Nicola - Automation, 2022 - mdpi.com
This article presents the study of the stability of single-input and multiple-input systems with
point or distributed state delay and input delay and input saturation. By a linear …

Stability and Performance Analysis of Stochastic Delayed Neural Networks

Y Chen, WX Zheng - IEEE transactions on neural networks, 2011 - ieeexplore.ieee.org
This brief focuses on the robust mean-square exponential stability and L 2 performance
analysis for a class of uncertain time-delay neural networks perturbed by both additive and …