具有多胞型摄动的时滞系统鲁棒稳定性

杨录山; 尚展垒; 王东署

doi:10.3969/j.issn.2095-476X.2013.03.016

CN 41-1437/TS ISSN 2096-1553

具有多胞型摄动的时滞系统鲁棒稳定性

杨录山 , 尚展垒 , 王东署

杨录山, 尚展垒, 王东署. 具有多胞型摄动的时滞系统鲁棒稳定性[J]. 轻工学报, 2013, 28(3): 72-74. doi: 10.3969/j.issn.2095-476X.2013.03.016

引用本文: 杨录山, 尚展垒, 王东署. 具有多胞型摄动的时滞系统鲁棒稳定性[J]. 轻工学报, 2013, 28(3): 72-74. doi: 10.3969/j.issn.2095-476X.2013.03.016

YANG Lu-shan, SHANG Zhan-lei and WANG Dong-shu. Robust stability of delayed systems with polytopic-type uncertainties[J]. Journal of Light Industry, 2013, 28(3): 72-74. doi: 10.3969/j.issn.2095-476X.2013.03.016

Citation: YANG Lu-shan, SHANG Zhan-lei and WANG Dong-shu. Robust stability of delayed systems with polytopic-type uncertainties[J]. Journal of Light Industry, 2013, 28(3): 72-74. doi: 10.3969/j.issn.2095-476X.2013.03.016

具有多胞型摄动的时滞系统鲁棒稳定性

解放军信息工程大学理学院, 河南郑州 450001;
郑州轻工业学院计算机与通信工程学院, 河南郑州 450001;
郑州大学电气工程学院, 河南郑州 450001
基金项目: 国家自然科学基金项目(61174085)
中图分类号: TP13

Robust stability of delayed systems with polytopic-type uncertainties

College of Science, Information Engineering University of the People's Liberation Army, Zhengzhou 450001, China;
College of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou 450001, China;
School of Electric Engineering, Zhengzhou University, Zhengzhou 450001, China
Received Date: 2013-02-28
Available Online: 2013-05-15
CLC number: TP13

摘要: 通过定义一个参数依赖的Lyapunov泛函,结合利用逆凸组合技术和一个矩阵不等式松散方法,得到了保守性小且计算复杂度低的鲁棒稳定性判据.算例表明新的判据显著地改进了已有的结果.
- 多胞型摄动 /
- 时滞系统 /
- 鲁棒稳定性 /
- 线性矩阵不等式
Abstract: By defining a parameter-dependent Lyapunov functional,using a reciprocally convex combination technique and a relax method of linear matrix inequality (LMI),a robust stability criterion with less conservatism and less complexity was obtained.Some numerical examples showed that the new criterion was better than the existing results.
- polytopic-type uncertainty /
- delayed systems /
- robust stability /
- linear matrix inequality (LMI)
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