一类中立型不确定变时滞系统的稳定性新判据

山东大学学报(工学版) ›› 2009, Vol. 39 ›› Issue (5): 48-51.

一类中立型不确定变时滞系统的稳定性新判据

孔宪明鞠培军

泰山学院数学与系统科学系, 山东泰安 271021

收稿日期:2008-08-29 出版日期:2009-10-16 发布日期:2009-10-16
作者简介:孔宪明(1960-),男,山东泰安人,副教授,主要研究方向为时滞系统控制,优化计算等.E-mail:kzmxg@163.com
基金资助:
山东省教育厅科研发展计划资助项目(J06P55,J07WJ23);泰山学院科研资助立项项目(Y06-2-04)

New stability criterion for a class of uncertain neutral systems with time-varying delay

Department of Mathematics and System Science, Taishan University, Taian 271021, China

Received:2008-08-29 Online:2009-10-16 Published:2009-10-16

摘要/Abstract

摘要：

研究了一类变时滞中立型系统的稳定性问题.采用自由权矩阵和Moon不等式方法,通过构造一个新的Lyapunov-Krasovskii泛函推导出系统稳定的充分条件.与已有文献结果相比,系统中立项系数矩阵可以是不确定的,最后给出数值算例验证该方法的有效性.

关键词: 时变时滞;中立型系统;Lyapunov-Krasovskii泛函

Abstract:

The stability of uncertain neural systems with time-varying delay was discussed. Making use of the theory of the Lyapunov-Krasovskii functional method, relaxation metrics and Moon inequality, the sufficient condition for stability was obtained, of which the system neural matrix was allowed to be uncertain and less conservative than the existing results. An example was proposed to illustrate the effectiveness of the obtained results.

Key words: time-varying delay; neutral system; Lyapunov-Krasovskii functional

孔宪明鞠培军. 一类中立型不确定变时滞系统的稳定性新判据[J]. 山东大学学报(工学版), 2009, 39(5): 48-51.

KONG Xian-Meng, JU Pei-Jun. New stability criterion for a class of uncertain neutral systems with time-varying delay[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(5): 48-51.

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