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

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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Bibliographische Detailangaben
Veröffentlicht in:Moscow University mathematics bulletin 2017-11, Vol.72 (6), p.226-232
1. Verfasser: Salova, T. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Destabilization
Hamiltonian functions
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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