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Practical ф0 -stability of switched stochastic nonlinear systems and corresponding stochastic perturbation theory
  • ISSN号:2095-6983
  • 期刊名称:《控制理论与技术:英文版》
  • 时间:0
  • 分类:O151.21[理学—数学;理学—基础数学] 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]School of Mathematical Sciences, University of Jinan, Jinan Shandong 250022, China, [2]School of Electrical Engineering, University of Jinan, Jinan Shandong 250022, China
  • 相关基金:This work was supported by the National Natural Science Foundation of China (Nos. 60904024, 61074021), the Shandong Province Natural Science Foundation for Distinguished Young Scholars (No. JQ201119), and the Doctoral Foundation of University of Jinan (No. XBS 1012).
中文摘要:

The aim of this paper is to study the practical ф0 -stability in probability (Pф0 SiP) and practical ф0 -stability in pth mean (Pф0 SpM) of switched stochastic nonlinear systems. Sufficient conditions on such practical properties are obtained by using the comparison principle and the cone-valued Lyapunov function methods. Also, based on an extended comparison principle, a perturbation theory of switched stochastic systems is given.

英文摘要:

The aim of this paper is to study the practical φ0-stability in probability (Pφ0 SiP) and practical ~o-stability in pth mean (Pφ0SpM) of switched stochastic nonlinear systems. Sufficient conditions on such practical properties are obtained by using the comparison principle and the cone-valued Lyapunov function methods. Also, based on an extended comparison principle, a perturbation theory of switched stochastic systems is given.

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期刊信息
  • 《控制理论与技术:英文版》
  • 主管单位:国家教育部
  • 主办单位:华南理工大学 中科院数学与系统科学研究院
  • 主编:胡跃明
  • 地址:广州市天河区五山路381号华南理工大学
  • 邮编:510640
  • 邮箱:jcta@scut.edu.cn
  • 电话:020-87111464
  • 国际标准刊号:ISSN:2095-6983
  • 国内统一刊号:ISSN:44-1706/TP
  • 邮发代号:46-319
  • 获奖情况:
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  • 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
  • 被引量:69