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具有干扰的马尔科夫跳跃线性系统几乎处处稳定性充分条件
  • ISSN号：1000-8152
  • 期刊名称：《控制理论与应用》
  • 时间：0
  • 分类：TP13[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]曲阜师范大学自动化研究所,山东曲阜273165, [2]美国佛罗里达大学电气与计算机工程系,美国32611
  • 相关基金：基金项目：国家自然科学基金资助项目（60574007,60674027）;教育部博士点学科专项基金资助项目（2005446001）.
作者： 高丽君[1], 武玉强[1], 方玉光
关键词： 跳跃线性系统, 有限状态马尔科夫链, 几乎处处稳定性, 矩稳定性, jump linear systems, finite state Markov chain, almost sure stability, moment stability
中文摘要：

跳跃线性系统是一类具有随机跳变参数的线性系统，其跳变参数根据给定的有限状态马尔科夫链演化，这样的模型可以用来描述出现故障或者在结构上突然发生变化的系统．本文采用随机李雅谱诺夫第二方法研究了具有干扰的离散时间跳跃线性系统的几乎处处稳定性，得到了一类充分条件．并由此条件进一步得出了更易于检测其几乎处处稳定性的充分条件．

英文摘要：

A jump linear system is defined as a family of linear systems with randomly jumping parameters governed by a Markov jump process. It is used to model the system subject to failures or changes in structure. The almost sure stability of a discrete-time jump linear system with disturbance is studied by using the stochastic version of Lyapunov second method. A sufficient condition for almost sure stability is derived. Some new simpler tractable sufficient conditions for almost sure stability are obtained from the proposed sufficient conditions.

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期刊信息
  • 《控制理论与应用》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华南理工大学 中国科学院数学与系统科学研究院
  • 主编：胡跃明
  • 地址：广州五山路华南理工大学3号楼516室
  • 邮编：510640
  • 邮箱：aukzllyy@scut.edu.cn
  • 电话：020-87111464
  • 国际标准刊号：ISSN：1000-8152
  • 国内统一刊号：ISSN：44-1240/TP
  • 邮发代号:46-11
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国剑桥科学文摘,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:21084