Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients

Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients

<p/> <p>This paper investigates the exponential-type stability of linear neutral delay differential systems with constant coefficients using Lyapunov-Krasovskii type functionals, more general than those reported in the literature. Delay-dependent conditions sufficient for the stability a...

Full description

Bibliographic Details
Main Authors: Khusainov DYa, Ba&#353;tinec J, Dibl&#237;k J, Ryvolov&#225; A
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2010/956121
id doaj-fa32bd1424934d1b8be775d57f7b722b
record_format Article
spelling doaj-fa32bd1424934d1b8be775d57f7b722b2020-11-24T21:41:21ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-0120101956121Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant CoefficientsKhusainov DYaBa&#353;tinec JDibl&#237;k JRyvolov&#225; A<p/> <p>This paper investigates the exponential-type stability of linear neutral delay differential systems with constant coefficients using Lyapunov-Krasovskii type functionals, more general than those reported in the literature. Delay-dependent conditions sufficient for the stability are formulated in terms of positivity of auxiliary matrices. The approach developed is used to characterize the decay of solutions (by inequalities for the norm of an arbitrary solution and its derivative) in the case of stability, as well as in a general case. Illustrative examples are shown and comparisons with known results are given.</p>http://www.boundaryvalueproblems.com/content/2010/956121
collection DOAJ
language English
format Article
sources DOAJ
author Khusainov DYa
Ba&#353;tinec J
Dibl&#237;k J
Ryvolov&#225; A
spellingShingle Khusainov DYa
Ba&#353;tinec J
Dibl&#237;k J
Ryvolov&#225; A
Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients
Boundary Value Problems
author_facet Khusainov DYa
Ba&#353;tinec J
Dibl&#237;k J
Ryvolov&#225; A
author_sort Khusainov DYa
title Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients
title_short Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients
title_full Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients
title_fullStr Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients
title_full_unstemmed Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients
title_sort exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2010-01-01
description <p/> <p>This paper investigates the exponential-type stability of linear neutral delay differential systems with constant coefficients using Lyapunov-Krasovskii type functionals, more general than those reported in the literature. Delay-dependent conditions sufficient for the stability are formulated in terms of positivity of auxiliary matrices. The approach developed is used to characterize the decay of solutions (by inequalities for the norm of an arbitrary solution and its derivative) in the case of stability, as well as in a general case. Illustrative examples are shown and comparisons with known results are given.</p>
url http://www.boundaryvalueproblems.com/content/2010/956121
work_keys_str_mv AT khusainovdya exponentialstabilityandestimationofsolutionsoflineardifferentialsystemsofneutraltypewithconstantcoefficients
AT ba353tinecj exponentialstabilityandestimationofsolutionsoflineardifferentialsystemsofneutraltypewithconstantcoefficients
AT dibl237kj exponentialstabilityandestimationofsolutionsoflineardifferentialsystemsofneutraltypewithconstantcoefficients
AT ryvolov225a exponentialstabilityandestimationofsolutionsoflineardifferentialsystemsofneutraltypewithconstantcoefficients
_version_ 1725922486499934208

Similar Items