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离散广义区间动力系统的稳定性
引用本文:梁家荣.离散广义区间动力系统的稳定性[J].控制与决策,2008,23(1):114-116.
作者姓名:梁家荣
作者单位:广西大学,计算机与电子信息学院,南宁,530004
基金项目:国家自然科学基金,教育部新世纪优秀人才支持计划专项基金,广西自然科学基金,广西新世纪十百千人才工程基金
摘    要:利用范数理论,研究离散广义区间动力系统的稳定性问题,给出其区间动力系统的正则、因果且稳定的充分条件.在此基础上,进一步考虑该系统的区间极点集的配置问题,给出了使离散广义区间动力系统的极点落在预先给定园盘内的判定定理.数值算例表明了该方法的可行性.

关 键 词:离散广义系统  稳定性  区间矩阵
文章编号:1001-0920(2008)01-0114-03
收稿时间:2006-10-08
修稿时间:2006-12-11

Stability of discrete singular interval systems
LIANG Jia-rong.Stability of discrete singular interval systems[J].Control and Decision,2008,23(1):114-116.
Authors:LIANG Jia-rong
Affiliation:LIANG Jia-rong(College of Computer , Electronic Information,Guangxi University,Nanning 530004,China.)
Abstract:By using the norm theory, the problem of the stability of discrete singular interval systems is studied. The sufficient condition for that the discrete singular interval systems are regular, impulse and stable is presented. Furthermore, the developed criteria are applied to solve interval pole-assignment problems of discrete singular interval systems, and a sufficient condition is proposed to guarantee robust pole locating within a specified circular region for the discrete singular interval systems. An numeral example shows the feasibility of the method.
Keywords:Discrete singular systems  Stability  Interval matrices
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