The Stability of Nonlinear Differential Systems with Random Parameters
The paper deals with nonlinear differential systems with random parameters in a general form. A new method for construction of the Lyapunov functions is proposed and is used to obtain sufficient conditions for L2-stability of the trivial solution of the considered systems.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/924107 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567979382931456 |
|---|---|
| author | Josef Diblík Irada Dzhalladova Miroslava Růžičková |
| author_facet | Josef Diblík Irada Dzhalladova Miroslava Růžičková |
| author_sort | Josef Diblík |
| collection | DOAJ |
| description | The paper deals with nonlinear differential systems with random parameters in a general form. A new method for construction of the Lyapunov functions is proposed and is used to obtain sufficient conditions for L2-stability of the trivial solution of the considered systems. |
| format | Article |
| id | doaj-art-f712e25700d347889d51d4f0d26ec27e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f712e25700d347889d51d4f0d26ec27e2025-02-03T01:00:09ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/924107924107The Stability of Nonlinear Differential Systems with Random ParametersJosef Diblík0Irada Dzhalladova1Miroslava Růžičková2Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, 61600 Brno, Czech RepublicDepartment of Mathematics, Kyiv National Economic University, Peremogy Avenue 54/1, Kyiv 03038, UkraineDepartment of Mathematics, University of Žilina, 01026 Žilina, SlovakiaThe paper deals with nonlinear differential systems with random parameters in a general form. A new method for construction of the Lyapunov functions is proposed and is used to obtain sufficient conditions for L2-stability of the trivial solution of the considered systems.http://dx.doi.org/10.1155/2012/924107 |
| spellingShingle | Josef Diblík Irada Dzhalladova Miroslava Růžičková The Stability of Nonlinear Differential Systems with Random Parameters Abstract and Applied Analysis |
| title | The Stability of Nonlinear Differential Systems with Random Parameters |
| title_full | The Stability of Nonlinear Differential Systems with Random Parameters |
| title_fullStr | The Stability of Nonlinear Differential Systems with Random Parameters |
| title_full_unstemmed | The Stability of Nonlinear Differential Systems with Random Parameters |
| title_short | The Stability of Nonlinear Differential Systems with Random Parameters |
| title_sort | stability of nonlinear differential systems with random parameters |
| url | http://dx.doi.org/10.1155/2012/924107 |
| work_keys_str_mv | AT josefdiblik thestabilityofnonlineardifferentialsystemswithrandomparameters AT iradadzhalladova thestabilityofnonlineardifferentialsystemswithrandomparameters AT miroslavaruzickova thestabilityofnonlineardifferentialsystemswithrandomparameters AT josefdiblik stabilityofnonlineardifferentialsystemswithrandomparameters AT iradadzhalladova stabilityofnonlineardifferentialsystemswithrandomparameters AT miroslavaruzickova stabilityofnonlineardifferentialsystemswithrandomparameters |