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 …
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 …
[PDF][PDF] Stability and estimation of solutions of linear diferential systems of neutral type with constant coefficients
D Khusainov, J Diblık, J Baštinec, A Ryvolová - 2010 - archive.math.muni.cz
We investigate the exponential-type stability of linear neutral delay differential systems with
constant coefficients using Lyapunov-Krasovskii type functionals, more general than those …
constant coefficients using Lyapunov-Krasovskii type functionals, more general than those …
A note on converse Lyapunov-Krasovskii theorems for nonlinear neutral systems in Sobolev spaces
D Efimov, E Fridman - IFAC-PapersOnLine, 2019 - Elsevier
ScienceDirect Page 1 IFAC PapersOnLine 52-16 (2019) 13–18 ScienceDirect Available online at
www.sciencedirect.com 2405-8963 © 2019, IFAC (International Federation of Automatic Control) …
www.sciencedirect.com 2405-8963 © 2019, IFAC (International Federation of Automatic Control) …
Stabilization of Lur'e-type nonlinear control systems by Lyapunov-Krasovskii functionals
A Shatyrko, J Diblik, D Khusainov… - Advances in Difference …, 2012 - Springer
The paper deals with the stabilization problem of Lur'e-type nonlinear indirect control
systems with time-delay argument. The sufficient conditions for absolute stability of the …
systems with time-delay argument. The sufficient conditions for absolute stability of the …
On exponential stability of solutions of nonlinear neutral differential systems with discrete and distributed variable lags.
Y Altun, C Tunç - Nonlinear Studies, 2019 - search.ebscohost.com
In this paper, we investigated the exponential stability for nonlinear neutral differential
system with multiple retarded arguments. To reach the desired results, we used a Lyapunov …
system with multiple retarded arguments. To reach the desired results, we used a Lyapunov …
Converse Lyapunov–Krasovskii theorem for ISS of neutral systems in Sobolev spaces
D Efimov, E Fridman - Automatica, 2020 - Elsevier
The conditions of existence of a Lyapunov–Krasovskii functional (LKF) for nonlinear input-to-
state stable (ISS) neutral type systems are proposed. The system under consideration …
state stable (ISS) neutral type systems are proposed. The system under consideration …
Absolute stability of Lurie direct control systems with time-varying coefficients and multiple nonlinearities
D Wang, F Liao - Applied Mathematics and Computation, 2013 - Elsevier
Absolute stability of Lurie direct control systems with time-varying coefficients and multiple
nonlinearities is studied in this paper. Depending on the related methods, relative …
nonlinearities is studied in this paper. Depending on the related methods, relative …
Necessary and sufficient conditions for the existence of liapunov function of Lur'e form with
Y Wu, S Zhao - Acta Mathematicae Applicatae Sinica, 1990 - Springer
This paper is concerned with the problem of absolute stability for a control system with
several executive elements. Necessary and sufficient conditions are obtained for the …
several executive elements. Necessary and sufficient conditions are obtained for the …
Absolute stability and absolute instability of control systems with several nonlinear nonstationary elements
VA Kamenetskiy - Avtomatika i Telemekhanika, 1983 - mathnet.ru
VA Kamenetskii, “Absolute stability and absolute instability of control systems with several
nonlinear nonstationary elements”, Avtomat. i Telemekh., 1983, no. 12, 20–30; Autom …
nonlinear nonstationary elements”, Avtomat. i Telemekh., 1983, no. 12, 20–30; Autom …
Asymptotic stability of solutions of a class of neutral differential equations with multiple deviating arguments
C Tunç - Bulletin mathématique de la Société des Sciences …, 2014 - JSTOR
Asymptotic stability of solutions of a class of neutral differential equations with multiple deviating
arguments Page 1 Bull. Math. Soc. Sci. Math. Roumanie Tome 57(105) No. 1, 2014, 121-130 …
arguments Page 1 Bull. Math. Soc. Sci. Math. Roumanie Tome 57(105) No. 1, 2014, 121-130 …