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ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS

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【作者】 李国成薛小平宋士吉

【Author】 LI Guo_cheng ~1, XUE Xiao_ping ~1, SONG Shi_ji ~2 (1.Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P.R.China; 2.Department of Automation, Tsinghua University, Beijing 100084, P.R.China)

【机构】 Department of MathematicsHarbin Institute of TechnologyDepartment of AutomationTsinghua University Harbin 150001P.R.ChinaHarbin 150001Beijing 100084P.R.China

【Abstract】 The periodic problem of evolution inclusion is studied and its results are used to establish existence theorems of periodic solutions of a class of semi_linear differential inclusion.Also existence theorem of the extreme solutions and the strong relaxation theorem are given for this class of semi_linear differential inclusion. An application to some feedback control systems is discussed.

【基金】 theNationalNaturalScienceFoundationofChina ( 1 0 2 71 0 3 5) ;National973Program ( 2 0 0 2CB3 1 2 2 0 5)
  • 【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,2004年02期
  • 【分类号】O175
  • 【下载频次】24
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