Global finite-time stability of differential equation with discontinuous right-hand side
In the paper new sufficient conditions for global finite-time stability of a stationary solution to differential equation with discontinuous right-hand side are given. Time-dependent Lyapunov function which is only continuous is used. Properties of Lyapunov function are described by presubdifferenti...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2018-06-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6362 |
| _version_ | 1797830504751300608 |
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| author | Radosław Matusik Andrzej Rogowski |
| author_facet | Radosław Matusik Andrzej Rogowski |
| author_sort | Radosław Matusik |
| collection | DOAJ |
| description | In the paper new sufficient conditions for global finite-time stability of a stationary solution to differential equation with discontinuous right-hand side are given. Time-dependent Lyapunov function which is only continuous is used. Properties of Lyapunov function are described by presubdifferential and contingent derivative. |
| first_indexed | 2024-04-09T13:38:15Z |
| format | Article |
| id | doaj.art-50d25fd478ab4d41bc2a8a9157859b3d |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:15Z |
| publishDate | 2018-06-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-50d25fd478ab4d41bc2a8a9157859b3d2023-05-09T07:53:08ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752018-06-0120183511710.14232/ejqtde.2018.1.356362Global finite-time stability of differential equation with discontinuous right-hand sideRadosław Matusik0Andrzej Rogowski1University of Lodz, Faculty of Mathematics and Computer Science, Lodz, PolandUniversity of Lodz, Faculty of Mathematics and Computer Science, Lodz, PolandIn the paper new sufficient conditions for global finite-time stability of a stationary solution to differential equation with discontinuous right-hand side are given. Time-dependent Lyapunov function which is only continuous is used. Properties of Lyapunov function are described by presubdifferential and contingent derivative.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6362stabilityglobal finite-time stabilityordinary differential equationslyapunov functiondini derivativecontingent derivativepresubdifferential |
| spellingShingle | Radosław Matusik Andrzej Rogowski Global finite-time stability of differential equation with discontinuous right-hand side Electronic Journal of Qualitative Theory of Differential Equations stability global finite-time stability ordinary differential equations lyapunov function dini derivative contingent derivative presubdifferential |
| title | Global finite-time stability of differential equation with discontinuous right-hand side |
| title_full | Global finite-time stability of differential equation with discontinuous right-hand side |
| title_fullStr | Global finite-time stability of differential equation with discontinuous right-hand side |
| title_full_unstemmed | Global finite-time stability of differential equation with discontinuous right-hand side |
| title_short | Global finite-time stability of differential equation with discontinuous right-hand side |
| title_sort | global finite time stability of differential equation with discontinuous right hand side |
| topic | stability global finite-time stability ordinary differential equations lyapunov function dini derivative contingent derivative presubdifferential |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6362 |
| work_keys_str_mv | AT radosławmatusik globalfinitetimestabilityofdifferentialequationwithdiscontinuousrighthandside AT andrzejrogowski globalfinitetimestabilityofdifferentialequationwithdiscontinuousrighthandside |