| 具连续分布时滞的抛物型系统的指数镇定 |
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| 引用本文： | 罗毅平,邓飞其,李安平. 具连续分布时滞的抛物型系统的指数镇定[J]. 物理学报, 2007, 56(2): 637-642 |
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| 作者姓名： | 罗毅平 邓飞其 李安平 |
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| 作者单位： | (1)湖南工程学院，湘潭 411101; (2)湖南工程学院，湘潭 411101；华南理工大学系统工程研究所，广州 510640; (3)华南理工大学系统工程研究所，广州 510640 |
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| 基金项目： | 国家自然科学基金;湖南省教育厅自然科学基金;湖南省自然科学基金 |
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| 摘 要： | 针对一类具分布时滞的抛物型控制系统，提出一种新的镇定设计方法.利用推广的向量Hanalay 微分不等式、Dini导数、结合Green公式及不等式分析技术，在线性反馈控制律的作用下，导出了具分布时滞的抛物型控制系统的镇定的新判据.该镇定性条件不依赖于时滞.最后给了一个算例说明所得结果的可行性.此外，该方法一个明显的优点是所得的镇定性条件容易验证，因而便于应用.关键词：抛物型系统Dini导数分布时滞全局指数镇定
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| 关 键 词： | 抛物型系统 Dini导数 分布时滞 全局指数镇定 |
| 文章编号： | 1000-3290/2007/56(02)/0637-06 |
| 收稿时间： | 2006-03-14 |
| 修稿时间： | 2006-03-14 |
Global exponential stabilization for parabolic type systems with continuously distributed delays |
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| Luo Yi-Ping,Deng Fei-Qi,Li An-Ping. Global exponential stabilization for parabolic type systems with continuously distributed delays[J]. Acta Physica Sinica, 2007, 56(2): 637-642 |
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| Authors: | Luo Yi-Ping Deng Fei-Qi Li An-Ping |
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| Affiliation: | Golloge of ltunan Institute of Engineering , Xiangtan 411101, China; Institute of System Enginaring, South China University of Technology, Guangzhou 510640, China |
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| Abstract: | A sort of new method is put forward which is not similar to existing methods for a class of parabolic type systems with time-varying delays. By employing generalized Halanay's inequality, Dini derivative and the technique of differential inequality, a sufficient condition for the type of stabilization are derived. The stabilization criteria are delay-independent. A computation example is given to illustrate the proposed method. In addition, the distinct advantage of the method is that the criterions in the paper are easy to be checked, and can be applied in practice easily. |
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| Keywords: | parabolic type system Dini's derivative distribute delay global exponential stabilization |
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