| 双线性广义时滞系统的稳定性与无源控制 |
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| 引用本文： | 马睿,杨宗立,魏菊梅.双线性广义时滞系统的稳定性与无源控制[J].河南科学,2010,28(1):11-14. |
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| 作者姓名： | 马睿 杨宗立 魏菊梅 |
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| 作者单位： | 1. 郑州大学数学系,郑州,450001
2. 郑州大学离退休职工工作处,郑州,450001 |
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| 基金项目： | 国家自然科学基金-数学天元基金 |
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| 摘 要： | 研究了离散的双线性广义时滞系统在外部输入作用下的稳定性和无源控制问题.利用线性矩阵不等式和广义代数Riccati不等式,给出了离散双线性广义时滞系统渐进稳定且严格无源的充分条件,并且基于此条件给出存在状态反馈控制器,使得闭环系统渐进稳定且严格无源的充分条件,同时给出相应的控制器设计.
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| 关 键 词： | 时滞 双线性广义系统 渐进稳定 严格无源 状态反馈 无源控制 |
Stability and Passive Control for Bilinear Singular Systems with Time-Delay |
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| Ma Rui,Yang Zongli,Wei Jumei.Stability and Passive Control for Bilinear Singular Systems with Time-Delay[J].Henan Science,2010,28(1):11-14. |
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| Authors: | Ma Rui Yang Zongli Wei Jumei |
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| Institution: | 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China;2. Department of retire staff, Zhengzhou University, Zhengzhou 450001, China) |
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| Abstract: | The stability and passive control problem of discrete-time bilinear singular systems with time-delay is discussed under bounded energy exogenous inputs. By means of linear matrix inequalities and generalized algebra Riccati inequalities, and a sufficient condition is derived as such that a prescribed discrete-time bilinear singular system with time-delay is asymptotically stable and strictly passive. Moreover, a sufficient condition is provided for the existence of a state feedback controller such that the closed-loop system is both asymptotically stable and strictly passive. The design method for such state feedback controller is also given. |
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| Keywords: | time-delay bilinear singular systems asymptotically stable strictly passive state feedbackpassive control |
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