[HTML][HTML] Stability and estimate of solution to uncertain neutral delay systems

A Domoshnitsky, M Gitman, R Shklyar - Boundary Value Problems, 2014 - Springer
The coefficients and delays in models describing various processes are usually obtained as
a results of measurements and can be obtained only approximately. We deal with the …

[HTML][HTML] 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 …

[HTML][HTML] 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 …

Теоретико-методологічні засади синергетичної ефективності функціонування соціо-еколого-економічних систем

ВВ Якімцов - Збалансоване природокористування, 2018 - irbis-nbuv.gov.ua
Статтю присвячено теорії та методології синергетичної ефективності функціонування
соціоеколого-економічних систем. Як основу для дослідження функціонування складних …

[HTML][HTML] Robust stability analysis for Lur'e systems with interval time-varying delays via Wirtinger-based inequality

M Park, O Kwon, J Park, S Lee, E Cha - Advances in Difference Equations, 2014 - Springer
This paper considers the problem of robust stability for Lur'e systems with interval time-
varying delays and parameter uncertainties. It is assumed that the parameter uncertainties …

复区间矩阵的Gerschgorin 圆盘定理及正则性条件

成龙, 夏丹丹, 李耀堂 - 数学理论与应用, 2024 - mta.csu.edu.cn
本文将矩阵特征值的Gerschgorin 圆盘定理推广到复区间矩阵, 给出复区间矩阵特征值的
Gerschgorin 圆盘区域, 并证明所给复区间矩阵特征值的Gerschgorin 圆盘区域包含于已有的复 …

[HTML][HTML] Stabilization of neutral-type indirect control systems to absolute stability state

A Shatyrko, RRP van Nooijen, A Kolechkina… - Advances in Difference …, 2015 - Springer
This paper provides sufficient conditions for absolute stability of an indirect control Lur'e
problem of neutral type. The conditions are derived using a Lyapunov-Krasovskii functional …

Investigation of absolute stability of nonlinear systems of special kind with aftereffect by the lyapunov functions method

AV Shatyrko, DY Khusainov - Journal of Automation and …, 2011 - dl.begellhouse.com
The sufficient conditions of absolute stability of nonlinear control systems of the neutral type
are obtained. The estimates of exponential damping of solutions are constructed. The results …

[HTML][HTML] Absolute stability of time-varying delay Lurie indirect control systems with unbounded coefficients

F Liao, X Yu, J Deng - Advances in Difference Equations, 2017 - Springer
This paper investigates the absolute stability problem of time-varying delay Lurie indirect
control systems with variable coefficients. A positive-definite Lyapunov-Krasovskii functional …

Exponential stability of impulsive stochastic functional differential systems

Z Wu, H Huang, L Wang - Abstract and Applied Analysis, 2012 - Wiley Online Library
This paper is concerned with stabilization of impulsive stochastic delay differential systems.
Based on the Razumikhin techniques and Lyapunov functions, several criteria on pth …