| 时变时滞奇异摄动Lurie系统的稳定性分析 |
| |
| 引用本文： | 孙凤琪.时变时滞奇异摄动Lurie系统的稳定性分析[J].吉林大学学报(信息科学版),2019,37(4):382-389. |
| |
| 作者姓名： | 孙凤琪 |
| |
| 作者单位： | 吉林师范大学 数学学院,吉林 四平,136000 |
| |
| 基金项目： | 高校基本科研基金资助项目( N100406010) |
| |
| 摘 要： | 为改善在实际的Lurie 控制系统中的滞后和摄动现象所导致的系统振动和不稳定问题，在鲁棒稳定性理论基础上，笔者分析了含有不确定性结构的时变时滞奇异摄动Lurie 系统在两种扇形区域［0，V］和［V1，V2］内的稳定性问题，通过选取新的李雅普诺夫泛函数，结合引理、交叉项界定方法，推出时滞依赖和时滞独立两种情形下新的绝对稳定性判据。数值样例证明了该结果的可行性和优越性。
|
| 关 键 词： | Lurie系统 强绝对稳定性 奇异摄动时变时滞系统 时滞依赖 时滞独立 |
Stability Analysis of Singularly Perturbed Lurie Systems with Time-Varying Delay#br# |
| |
| SUN Fengqi.Stability Analysis of Singularly Perturbed Lurie Systems with Time-Varying Delay#br#[J].Journal of Jilin University:Information Sci Ed,2019,37(4):382-389. |
| |
| Authors: | SUN Fengqi |
| |
| Institution: | Department of Mathematical，Jilin Normal University，Siping 136000，China |
| |
| Abstract: | In order to improve the system vibration and instability caused by the delay and perturbation phenomena in actual Liurie control system，based on the theory of robust stability theories，Lurie systems with time-varying delay uncertainty are discussed． Combined with lemma and cross terms defined method，the new stability criterions of time-delay dependent and time-delay independent are deduced in two sector regions:［0，V］and ［V1，V2］by constructing a new Lyapunov functional． The feasibility and superiority are illustrated by the numerical example． |
| |
| Keywords: | Lurie systems strongly absolute stability singularly perturbed systems with time-delay delaydependent delay-independent
|
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(信息科学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(信息科学版)》下载免费的PDF全文 |
