华东师范大学学报(自然科学版) ›› 2011, Vol. 2011 ›› Issue (3): 21-28.

• 应用数学与基础数学 • 上一篇    下一篇

不确定时滞马尔可夫切换广义系统的鲁棒严格耗散控制

李秀英1, 邢 伟2, 张庆灵2   

  1. 1. 通化师范学院 数学系, 吉林 通化134002; 2. 东北大学 理学院, 沈阳 110004
  • 收稿日期:2010-09-01 修回日期:2010-12-01 出版日期:2011-05-25 发布日期:2011-05-25
  • 通讯作者: 李秀英

Robust strictly dissipative control for delay-dependent uncertain singular markovian jump systems

LI Xiu-ying1, XING Wei2, ZHANG Qing-ling2   

  1. 1. Department of Mathematics, Tonghua Teachers College, Tonghua Jilin 134002, China 2. College of Science, Northeastern University, Shenyang 110004, China
  • Received:2010-09-01 Revised:2010-12-01 Online:2011-05-25 Published:2011-05-25
  • Contact: LI Xiu-ying

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摘要： 首先将严格耗散概念引入到时滞马尔可夫切换广义系统中, 然后利用线性矩阵不等式给出了该 系统随机容许且严格耗散的充分条件; 进而设计状态反馈鲁棒严格耗散控制器, 使闭环系统鲁
棒随机容许且严格耗散.

关键词: 马尔可夫切换广义系统, 随机容许, 严格耗散, 线性矩阵不等式, 马尔可夫切换广义系统, 随机容许, 严格耗散, 线性矩阵不等式

Abstract: Firstly, the conception of strict dissipativeness was introduced for delay-dependent singular Markovian jump systems. Then a sufficient condition was derived guaranteeing these systems stochastically admissible and strictly dissipative by using the linear matrix inequality technique. Furthermore, the design method of a state feedback controller was given which ensures the resultant closed-loop system to be stochastically admissible and strictly
dissipative.

Key words: stochastical adimissibility, strict dissipativeness, linear matrix inequality (LMI), singular Markovian jump systems, stochastical adimissibility, strict dissipativeness, linear matrix inequality (LMI)

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