On estimates of solutions to systems of differential equations of neutral type with periodic coefficients

GV Demidenko, II Matveeva - Siberian Mathematical Journal, 2014 - Springer
ON ESTIMATES OF SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF NEUTRAL
TYPE WITH PERIODIC COEFFICIENTS Page 1 Siberian Mathematical Journal, Vol. 55, No. 5, pp …

Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type

L Berezansky, J Diblík, Z Svoboda, Z Šmarda - Journal of the Franklin …, 2023 - Elsevier
Linear neutral vector equations x˙(t)= A 0 (t) x˙(h 0 (t))+∑ k= 1 m A k (t) x (hk (t))+∫ g (t) t P (t,
s) x (s) ds are considered on interval [0,∞). Here x=(x 1,…, xn) T, m is a positive integer, the …

[PDF][PDF] Об оценках решений систем дифференциальных уравнений нейтрального типа с периодическими коэффициентами

ГВ Демиденко, ИИ Матвеева - Сиб. мат. журн, 2014 - math.nsc.ru
Рассматриваются системы дифференциальных уравнений нейтрального типа с
периодическими коэффициентами. Установлены условия экспоненциальной …

[PDF][PDF] On exponential stability of solutions to one class of systems of differential equations of neutral type

GV Demidenko, II Matveeva - Journal of Applied and Industrial …, 2014 - researchgate.net
1. STATEMENT OF THE PROBLEM Consider the systems of linear delay differential
equations of the form d dt (y (t)+ Dy (t− τ))= Ay (t)+ By (t− τ), t> 0,(1.1) where A, B, and D are …

Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

J Diblík, DY Khusainov, A Shatyrko… - Advances in Nonlinear …, 2021 - degruyter.com
The paper studies absolute stability of neutral differential nonlinear systems x˙(t)= A xt+ B xt−
τ+ D x˙ t− τ+ bf (σ (t)), σ (t)= c T x (t), t⩾ 0 where x is an unknown vector, A, B and D are …

Mean square exponential stability of stochastic switched system with interval time‐varying delays

M Rajchakit, G Rajchakit - Abstract and Applied Analysis, 2012 - Wiley Online Library
This paper is concerned with mean square exponential stability of switched stochastic
system with interval time‐varying delays. The time delay is any continuous function …

Adaptive Observer‐Based Fault Estimation for Stochastic Markovian Jumping Systems

S He, F Liu - Abstract and applied analysis, 2012 - Wiley Online Library
This paper studies the adaptive fault estimation problems for stochastic Markovian jump
systems (MJSs) with time delays. With the aid of the selected Lyapunov‐Krasovskii …

A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and …

M Rajchakit, P Niamsup, G Rajchakit - Journal of Inequalities and …, 2013 - Springer
This paper addresses a mean square exponential stability problem for a class of switched
stochastic systems with time-varying delay. The time delay is any continuous function …

Exponential stabilization of uncertain nonlinear time-delay systems

Y Dong, J Liu - Advances in Difference Equations, 2012 - Springer
This paper is concerned with the problem of exponential stabilization for a class of uncertain
nonlinear systems with state delay by means of periodically intermittent control. Based on …

The second Lyapunov method for time-delay systems

GV Demidenko, II Matveeva - International workshop on Functional …, 2019 - Springer
Some classes of systems of delay differential equations are considered. We give a review of
methods for the study of the stability of solutions in the case of constant and periodic …