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PROPERTIES OF STORAGE FUNCTIONS AND APPLICATIONS TO NONLINEAR STOCHASTIC H∞ CONTROL
  • ISSN号：1009-6124
  • 期刊名称：《系统科学与复杂性学报：英文版》
  • 分类：TN929.53[电子电信—通信与信息系统;电子电信—信息与通信工程] TP273.2[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—检测技术与自动化装置]
  • 作者机构：[1]School of Mathematics, Shandong University, Jinan 250100, China, [2]College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao266510, China
  • 相关基金：This research is supported by the National Natural Science Foundation of China under Grant Nos. 10921101 and 60874032, the National Basic Research Program of China （973 Program） under Grant No. 2007CB814904, the Key Project of Natural Science Foundation of Shandong Province under Grant No. ZR2009GZ001, and the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No. 20103718110006.
作者： Qixia ZHANG[1], Weihai ZHANG[2]
关键词： 非线性随机系统, 存储功能, 控制, 应用, 性能, 充分必要条件, 噪声系统, 外部干扰, Halmilton-Jacobi inequality, H∞ control, partial differential equation, storage function,viscosity solution.
中文摘要：

这份报纸为非线性的随机的系统的一个班讨论存储功能的性质。为是存储功能的功能的一些必要、足够的条件被导出。作为应用程序，非线性的随机的 H 与状态为系统控制的有限、无限的地平线，控制，和外部骚乱，依赖噪音被调查，它概括以前的结果。

英文摘要：

This paper discusses the properties of the storage functions for a class of nonlinear stochastic systems. Some necessary and sufficient conditions for a function to be a storage function are derived. As applications, the finite and infinite horizon nonlinear stochastic H∞ controls for systems with state, control, and external disturbance dependent noise are investigated, which generalize the previous results.

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期刊信息
  • 《系统科学与复杂性学报：英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院系统科学研究所
  • 主编：
  • 地址：北京东黄城根北街16号
  • 邮编：100080
  • 邮箱：
  • 电话：010-62541831 62541834
  • 国际标准刊号：ISSN：1009-6124
  • 国内统一刊号：ISSN：11-4543/O1
  • 邮发代号:82-545
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,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,美国科学引文索引（扩展库）,英国科学文摘数据库
  • 被引量:125