On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect

On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect

Sufficient conditions of interval absolute stability of nonlinear control systems described in terms of systems of the ordinary differential equations with delay argument and also neutral type are obtained. The Lyapunov-Krasovskii functional method in the form of the sum of a quadratic component and...

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Main Authors: Andriy Shatyrko, Denys Khusainov
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2016/6490826
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spelling doaj-c2651f51cd9349b999e34c8d2da171bc2020-11-25T02:36:35ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2016-01-01201610.1155/2016/64908266490826On the Interval Stability of Weak-Nonlinear Control Systems with AftereffectAndriy Shatyrko0Denys Khusainov1Department of Complex Systems Modelling, Cybernetics Faculty, Taras Shevchenko National University of Kyiv, Volodymyrska Str., 64, Kyiv 01601, UkraineDepartment of Complex Systems Modelling, Cybernetics Faculty, Taras Shevchenko National University of Kyiv, Volodymyrska Str., 64, Kyiv 01601, UkraineSufficient conditions of interval absolute stability of nonlinear control systems described in terms of systems of the ordinary differential equations with delay argument and also neutral type are obtained. The Lyapunov-Krasovskii functional method in the form of the sum of a quadratic component and integrals from nonlinearity is used at construction of statements.http://dx.doi.org/10.1155/2016/6490826
collection DOAJ
language English
format Article
sources DOAJ
author Andriy Shatyrko
Denys Khusainov
spellingShingle Andriy Shatyrko
Denys Khusainov
On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
The Scientific World Journal
author_facet Andriy Shatyrko
Denys Khusainov
author_sort Andriy Shatyrko
title On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title_short On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title_full On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title_fullStr On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title_full_unstemmed On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
title_sort on the interval stability of weak-nonlinear control systems with aftereffect
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2016-01-01
description Sufficient conditions of interval absolute stability of nonlinear control systems described in terms of systems of the ordinary differential equations with delay argument and also neutral type are obtained. The Lyapunov-Krasovskii functional method in the form of the sum of a quadratic component and integrals from nonlinearity is used at construction of statements.
url http://dx.doi.org/10.1155/2016/6490826
work_keys_str_mv AT andriyshatyrko ontheintervalstabilityofweaknonlinearcontrolsystemswithaftereffect
AT denyskhusainov ontheintervalstabilityofweaknonlinearcontrolsystemswithaftereffect
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