Criteria on Periodic Stabilization in Finite Dimensional Cases

  • Gengsheng WangEmail author
  • Yashan Xu
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)


This chapter presents two periodic stabilization criteria for linear periodic ODEs. One is an algebraic criterion which is related to the periodic map , while another is a geometric criterion which is connected with the null-controllable subspace of the system. Two kinds of periodic feedback laws are constructed. We approach the geometric criterion by a different way from that used in infinitely dimensional cases of Chap.  2.


Periodic Equations Stabilization Algebraic Criterion Geometric Criterion ODE 

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© The Author(s) 2016

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsWuhan UniversityWuhanChina
  2. 2.School of Mathematical SciencesFudan UniversityShanghaiChina

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