Persistence of Excitation in Reproducing Kernel Hilbert Spaces, Positive Limit Sets, and Smooth Manifolds

26 Sep 2019 Kurdila Andrew J. Guo Jia Paruchuri Sai Tej Bobade Parag

This paper studies the relationship between the positive limit sets of continuous semiflows and the newly introduced definition of persistently excited (PE) sets and associated subspaces of reproducing kernel Hilbert (RKH) spaces. It is shown that if the RKH space contains a rich collection of cut-off functions, persistently excited sets are contained as subsets of the positive limit set of the semiflow... (read more)

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  • OPTIMIZATION AND CONTROL
  • SYSTEMS AND CONTROL
  • SYSTEMS AND CONTROL