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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2016/6490826 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849685059388309504 |
|---|---|
| author | Andriy Shatyrko Denys Khusainov |
| author_facet | Andriy Shatyrko Denys Khusainov |
| author_sort | Andriy Shatyrko |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-c2651f51cd9349b999e34c8d2da171bc |
| institution | DOAJ |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-c2651f51cd9349b999e34c8d2da171bc2025-08-20T03:23:16ZengWileyThe 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 |
| spellingShingle | Andriy Shatyrko Denys Khusainov On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect The Scientific World Journal |
| title | 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_short | On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect |
| title_sort | on the interval stability of weak nonlinear control systems with aftereffect |
| url | http://dx.doi.org/10.1155/2016/6490826 |
| work_keys_str_mv | AT andriyshatyrko ontheintervalstabilityofweaknonlinearcontrolsystemswithaftereffect AT denyskhusainov ontheintervalstabilityofweaknonlinearcontrolsystemswithaftereffect |