Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays
This paper is concerned with the asymptotic stability analysis for a class of neutral systems with time-delay and saturating actuators, which is further to reduce the conservatism of neutral system. Based on the model transformation and the delay-dividing approach, a new type of augmented Lyapunov f...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2014/102653 |
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| _version_ | 1832549997823918080 |
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| author | Xinghua Liu |
| author_facet | Xinghua Liu |
| author_sort | Xinghua Liu |
| collection | DOAJ |
| description | This paper is concerned with the asymptotic stability analysis for a class of neutral systems with time-delay and saturating actuators, which is further to reduce the conservatism of neutral system. Based on the model transformation and the delay-dividing approach, a new type of augmented Lyapunov functional is constructed, which has fully exploited the information on the lower bound of the delay. Then the delay-dependent conditions for asymptotic stability are derived by applying some integral inequalities and Lyapunov theory. Finally, numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature. |
| format | Article |
| id | doaj-art-56628bba950b4613ba7c31898fb599da |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-56628bba950b4613ba7c31898fb599da2025-02-03T06:08:01ZengWileyInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/102653102653Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-DelaysXinghua Liu0Department of Automation, School of Information Science and Technology, University of Science and Technology of China, Anhui 230027, ChinaThis paper is concerned with the asymptotic stability analysis for a class of neutral systems with time-delay and saturating actuators, which is further to reduce the conservatism of neutral system. Based on the model transformation and the delay-dividing approach, a new type of augmented Lyapunov functional is constructed, which has fully exploited the information on the lower bound of the delay. Then the delay-dependent conditions for asymptotic stability are derived by applying some integral inequalities and Lyapunov theory. Finally, numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.http://dx.doi.org/10.1155/2014/102653 |
| spellingShingle | Xinghua Liu Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays International Journal of Differential Equations |
| title | Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays |
| title_full | Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays |
| title_fullStr | Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays |
| title_full_unstemmed | Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays |
| title_short | Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays |
| title_sort | further stability analysis on neutral systems with actuator saturation and time delays |
| url | http://dx.doi.org/10.1155/2014/102653 |
| work_keys_str_mv | AT xinghualiu furtherstabilityanalysisonneutralsystemswithactuatorsaturationandtimedelays |