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一类奇异跳跃系统的鲁棒稳定性研究
  • ISSN号：1000-0577
  • 期刊名称：系统科学与数学
  • 时间：2011
  • 页码：389-401
  • 分类：O211.62[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]中国科学技术大学自动化系,合肥230026, [2]济南大学控制科学与工程学院,济南250022, [3]合肥学院机器视觉与智能控制技术重点实验室,合肥230601
  • 相关基金：国家自然科学基金（60904024 60935001）; 新世纪优秀人才支持计划; 中央高校基本科研业务费专项资金; 安徽省科技攻关项目; 安徽省自然科学基金（11040606M143）资助课题
  • 相关项目：面向服务任务的快速机器视觉与智能伺服控制
作者： 李亚峰|康宇|赵平|王俊|
关键词： 跳跃参数, 奇异系统, 随机稳定性, Jumping parameters, singular system, stochastic stability
中文摘要：

研究了一类奇异跳跃系统的鲁棒稳定和镇定问题.在所研究的系统中,假设系数和转移率的不确定项范数有界.通过构造Lyapunov-Krasovskii函数,得到的充分条件可以保证系统在一定程度不确定性的影响下,是正则,无脉冲和均值意义下随机稳定的.最后,算例说明了所给方法的有效性.

英文摘要：

In this paper,the problem of robust stability and stabilization for a class of singular jumping systems is considered.In the system,the parametric and the transition rate＇s uncertainties are assumed to be norm bounded.By constructing a stochastic Lyapunov-Krasovskii functional,sufficient conditions are provided such that the system is regular,impulse-free and stochastically stable in mean square sense for all admissible uncertainties.Finally,a numerical example is given to demonstrate the effectiveness of the proposed methods.

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期刊信息
  • 《系统科学与数学》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：张纪峰
  • 地址：北京中关村中国科学院系统科学研究所
  • 邮编：100190
  • 邮箱：jssms@iss.ac.cn
  • 电话：010-62555263
  • 国际标准刊号：ISSN：1000-0577
  • 国内统一刊号：ISSN：11-2019/O1
  • 邮发代号:2-563
  • 获奖情况:
  • 1997年数学类期刊影响因子第三名,2000年获中科院优秀期刊三等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,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:6798