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浙江大学学报(工学版)
J4  2010, Vol. 44 Issue (2): 232-236    DOI: 10.3785/j.issn.1008-973X.2010.02.004
计算机技术﹑电信技术     
中立型不确定时滞系统的鲁棒稳定性
钱伟1,2, 沈国江1, 孙优贤1
(1.浙江大学 工业控制技术国家重点实验室,浙江 杭州310027； 2.河南理工大学 电气工程与自动化学院,河南 焦作454000)
Robust stability for uncertain neutral systems with mixed delays
QIAN Wei1,2, SHEN Guo-jiang1, SUN You-xian1
(1. State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China;
2. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China)
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摘要：

研究中立型不确定时滞系统的鲁棒稳定性问题.系统的不确定性分为非线性不确定性和范数有界不确定性两种情况,构造一个新的Lyapunov-Krasovskii泛函并利用积分不等式对其正定性进行了证明,从而放松了对某些泛函参数的约束；利用Lyapunov方法,基于线性矩阵不等式的形式,分别得到在两种不确定性情况下系统的鲁棒稳定性判据,所得的判据与中立型时滞及离散时滞均相关,从而克服了中立型时滞无关所导致的结论的保守性.通过数值算例表明,所得到的稳定性判据在保守性上优于现存的一些方法.
Abstract:

The robust stability for neutral systems with mixed delays and uncertainties was investigated. The uncertainties under consideration were nonlinear perturbations and norm-bounded uncertainties, respectively. A novel Lyapunov-Krasovskii functional was constructed and its positive definiteness was proved by using integral inequality, whichrelaxed the constraint on some functional parameters. The neutral-delay-dependent and discrete-delay-dependent stability criteria for two different forms of uncertainty were derived by using Lyapunov method in terms of linear matrix inequalities. Then the conservatism caused by neutral-delay-independence was relaxed. The numerical examples weregiven to illustrate the effectiveness of the method and the improvement over some existing methods.
出版日期: 2010-03-09
:  TP 273  
基金资助:

国家“863”高技术研究发展计划资助项目（2007AA11Z216）；国家自然科学基金资助项目(50708094)；河南省高等学校控制工程重点学科开放实验室资助项目（KG2009-07）；河南省教育厅自然科学研究计划资助项目（2008B510008）.
通讯作者: 沈国江，男，博士后.     E-mail: gjshen@iipc.zju.edu.cn
作者简介: 钱伟(1978－)，男，河南焦作人，博士生，从事时滞系统稳定性的研究.
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引用本文:

钱伟, 沈国江, 孙优贤. 中立型不确定时滞系统的鲁棒稳定性[J]. J4, 2010, 44(2): 232-236.

JIAN Wei, CHEN Guo-Jiang, SUN You-Xian. Robust stability for uncertain neutral systems with mixed delays. J4, 2010, 44(2): 232-236.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2010.02.004    或    http://www.zjujournals.com/eng/CN/Y2010/V44/I2/232

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