The proof of simultaneous conditional stabilization and destabilization of linear Hamiltonian systems

It is proved that each linear Hamiltonian system is simultaneously conditionally (with respect to a subspace of half dimension) stabilizable and destabilizable by infinitesimal Hamiltonian perturbation.

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Bibliographic Details
Published in:Moscow University mathematics bulletin 2017-11, Vol.72 (6), p.226-232
Main Author: Salova, T. V.
Format: Article
Language:English
Subjects:
Analysis
Destabilization
Hamiltonian functions
Mathematics
Mathematics and Statistics
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Description
Summary:It is proved that each linear Hamiltonian system is simultaneously conditionally (with respect to a subspace of half dimension) stabilizable and destabilizable by infinitesimal Hamiltonian perturbation.
ISSN:0027-1322
1934-8444
DOI:10.3103/S002713221706002X