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不确定时滞马尔可夫切换广义系统的鲁棒严格耗散控制
引用本文:李秀英,邢伟,张庆灵. 不确定时滞马尔可夫切换广义系统的鲁棒严格耗散控制[J]. 华东师范大学学报(自然科学版), 2011, 2011(3): 21-28. DOI: 10.3969/j.issn.1000-5641.2011.03.003
作者姓名:李秀英  邢伟  张庆灵
作者单位: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
基金项目:国家自然科学基金,吉林省教育厅科研项目
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
收稿时间:2010-09-01
修稿时间:2010-12-01

Robust strictly dissipative control for delay-dependent uncertain singular markovian jump systems
LI Xiu-ying,XING Wei,ZHANG Qing-ling. Robust strictly dissipative control for delay-dependent uncertain singular markovian jump systems[J]. Journal of East China Normal University(Natural Science), 2011, 2011(3): 21-28. DOI: 10.3969/j.issn.1000-5641.2011.03.003
Authors:LI Xiu-ying  XING Wei  ZHANG Qing-ling
Affiliation:1. Department of Mathematics, Tonghua Teachers College, Tonghua Jilin 134002, China2. College of Science, Northeastern University, Shenyang 110004, China
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 strictlydissipative.
Keywords:singular Markovian jump systems  stochastical adimissibility  strict dissipativeness  linear matrix inequality (LMI)
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