Abstract
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.
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Wang, G., Xu, Y. (2016). Criteria on Periodic Stabilization in Finite Dimensional Cases. In: Periodic Feedback Stabilization for Linear Periodic Evolution Equations. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-49238-4_3
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DOI: https://doi.org/10.1007/978-3-319-49238-4_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-49237-7
Online ISBN: 978-3-319-49238-4
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